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notebook.tex
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notebook.tex
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% Default to the notebook output style
% Inherit from the specified cell style.
\documentclass[11pt]{article}
\usepackage[T1]{fontenc}
% Nicer default font (+ math font) than Computer Modern for most use cases
\usepackage{mathpazo}
% Basic figure setup, for now with no caption control since it's done
% automatically by Pandoc (which extracts  syntax from Markdown).
\usepackage{graphicx}
% We will generate all images so they have a width \maxwidth. This means
% that they will get their normal width if they fit onto the page, but
% are scaled down if they would overflow the margins.
\makeatletter
\def\maxwidth{\ifdim\Gin@nat@width>\linewidth\linewidth
\else\Gin@nat@width\fi}
\makeatother
\let\Oldincludegraphics\includegraphics
% Set max figure width to be 80% of text width, for now hardcoded.
\renewcommand{\includegraphics}[1]{\Oldincludegraphics[width=.8\maxwidth]{#1}}
% Ensure that by default, figures have no caption (until we provide a
% proper Figure object with a Caption API and a way to capture that
% in the conversion process - todo).
\usepackage{caption}
\DeclareCaptionLabelFormat{nolabel}{}
\captionsetup{labelformat=nolabel}
\usepackage{adjustbox} % Used to constrain images to a maximum size
\usepackage{xcolor} % Allow colors to be defined
\usepackage{enumerate} % Needed for markdown enumerations to work
\usepackage{geometry} % Used to adjust the document margins
\usepackage{amsmath} % Equations
\usepackage{amssymb} % Equations
\usepackage{textcomp} % defines textquotesingle
% Hack from http://tex.stackexchange.com/a/47451/13684:
\AtBeginDocument{%
\def\PYZsq{\textquotesingle}% Upright quotes in Pygmentized code
}
\usepackage{upquote} % Upright quotes for verbatim code
\usepackage{eurosym} % defines \euro
\usepackage[mathletters]{ucs} % Extended unicode (utf-8) support
\usepackage[utf8x]{inputenc} % Allow utf-8 characters in the tex document
\usepackage{fancyvrb} % verbatim replacement that allows latex
\usepackage{grffile} % extends the file name processing of package graphics
% to support a larger range
% The hyperref package gives us a pdf with properly built
% internal navigation ('pdf bookmarks' for the table of contents,
% internal cross-reference links, web links for URLs, etc.)
\usepackage{hyperref}
\usepackage{longtable} % longtable support required by pandoc >1.10
\usepackage{booktabs} % table support for pandoc > 1.12.2
\usepackage[inline]{enumitem} % IRkernel/repr support (it uses the enumerate* environment)
\usepackage[normalem]{ulem} % ulem is needed to support strikethroughs (\sout)
% normalem makes italics be italics, not underlines
% Colors for the hyperref package
\definecolor{urlcolor}{rgb}{0,.145,.698}
\definecolor{linkcolor}{rgb}{.71,0.21,0.01}
\definecolor{citecolor}{rgb}{.12,.54,.11}
% ANSI colors
\definecolor{ansi-black}{HTML}{3E424D}
\definecolor{ansi-black-intense}{HTML}{282C36}
\definecolor{ansi-red}{HTML}{E75C58}
\definecolor{ansi-red-intense}{HTML}{B22B31}
\definecolor{ansi-green}{HTML}{00A250}
\definecolor{ansi-green-intense}{HTML}{007427}
\definecolor{ansi-yellow}{HTML}{DDB62B}
\definecolor{ansi-yellow-intense}{HTML}{B27D12}
\definecolor{ansi-blue}{HTML}{208FFB}
\definecolor{ansi-blue-intense}{HTML}{0065CA}
\definecolor{ansi-magenta}{HTML}{D160C4}
\definecolor{ansi-magenta-intense}{HTML}{A03196}
\definecolor{ansi-cyan}{HTML}{60C6C8}
\definecolor{ansi-cyan-intense}{HTML}{258F8F}
\definecolor{ansi-white}{HTML}{C5C1B4}
\definecolor{ansi-white-intense}{HTML}{A1A6B2}
% commands and environments needed by pandoc snippets
% extracted from the output of `pandoc -s`
\providecommand{\tightlist}{%
\setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}}
\DefineVerbatimEnvironment{Highlighting}{Verbatim}{commandchars=\\\{\}}
% Add ',fontsize=\small' for more characters per line
\newenvironment{Shaded}{}{}
\newcommand{\KeywordTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}}
\newcommand{\DataTypeTok}[1]{\textcolor[rgb]{0.56,0.13,0.00}{{#1}}}
\newcommand{\DecValTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}}
\newcommand{\BaseNTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}}
\newcommand{\FloatTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}}
\newcommand{\CharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}}
\newcommand{\StringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}}
\newcommand{\CommentTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textit{{#1}}}}
\newcommand{\OtherTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{{#1}}}
\newcommand{\AlertTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}}
\newcommand{\FunctionTok}[1]{\textcolor[rgb]{0.02,0.16,0.49}{{#1}}}
\newcommand{\RegionMarkerTok}[1]{{#1}}
\newcommand{\ErrorTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}}
\newcommand{\NormalTok}[1]{{#1}}
% Additional commands for more recent versions of Pandoc
\newcommand{\ConstantTok}[1]{\textcolor[rgb]{0.53,0.00,0.00}{{#1}}}
\newcommand{\SpecialCharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}}
\newcommand{\VerbatimStringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}}
\newcommand{\SpecialStringTok}[1]{\textcolor[rgb]{0.73,0.40,0.53}{{#1}}}
\newcommand{\ImportTok}[1]{{#1}}
\newcommand{\DocumentationTok}[1]{\textcolor[rgb]{0.73,0.13,0.13}{\textit{{#1}}}}
\newcommand{\AnnotationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}}
\newcommand{\CommentVarTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}}
\newcommand{\VariableTok}[1]{\textcolor[rgb]{0.10,0.09,0.49}{{#1}}}
\newcommand{\ControlFlowTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}}
\newcommand{\OperatorTok}[1]{\textcolor[rgb]{0.40,0.40,0.40}{{#1}}}
\newcommand{\BuiltInTok}[1]{{#1}}
\newcommand{\ExtensionTok}[1]{{#1}}
\newcommand{\PreprocessorTok}[1]{\textcolor[rgb]{0.74,0.48,0.00}{{#1}}}
\newcommand{\AttributeTok}[1]{\textcolor[rgb]{0.49,0.56,0.16}{{#1}}}
\newcommand{\InformationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}}
\newcommand{\WarningTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}}
% Define a nice break command that doesn't care if a line doesn't already
% exist.
\def\br{\hspace*{\fill} \\* }
% Math Jax compatability definitions
\def\gt{>}
\def\lt{<}
% Document parameters
\title{RADAR preparation}
% Pygments definitions
\makeatletter
\def\PY@reset{\let\PY@it=\relax \let\PY@bf=\relax%
\let\PY@ul=\relax \let\PY@tc=\relax%
\let\PY@bc=\relax \let\PY@ff=\relax}
\def\PY@tok#1{\csname PY@tok@#1\endcsname}
\def\PY@toks#1+{\ifx\relax#1\empty\else%
\PY@tok{#1}\expandafter\PY@toks\fi}
\def\PY@do#1{\PY@bc{\PY@tc{\PY@ul{%
\PY@it{\PY@bf{\PY@ff{#1}}}}}}}
\def\PY#1#2{\PY@reset\PY@toks#1+\relax+\PY@do{#2}}
\expandafter\def\csname PY@tok@w\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.73,0.73}{##1}}}
\expandafter\def\csname PY@tok@c\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
\expandafter\def\csname PY@tok@cp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.74,0.48,0.00}{##1}}}
\expandafter\def\csname PY@tok@k\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
\expandafter\def\csname PY@tok@kp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
\expandafter\def\csname PY@tok@kt\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.69,0.00,0.25}{##1}}}
\expandafter\def\csname PY@tok@o\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
\expandafter\def\csname PY@tok@ow\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.67,0.13,1.00}{##1}}}
\expandafter\def\csname PY@tok@nb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
\expandafter\def\csname PY@tok@nf\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}}
\expandafter\def\csname PY@tok@nc\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}}
\expandafter\def\csname PY@tok@nn\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}}
\expandafter\def\csname PY@tok@ne\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.82,0.25,0.23}{##1}}}
\expandafter\def\csname PY@tok@nv\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
\expandafter\def\csname PY@tok@no\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.53,0.00,0.00}{##1}}}
\expandafter\def\csname PY@tok@nl\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.63,0.63,0.00}{##1}}}
\expandafter\def\csname PY@tok@ni\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.60,0.60,0.60}{##1}}}
\expandafter\def\csname PY@tok@na\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.49,0.56,0.16}{##1}}}
\expandafter\def\csname PY@tok@nt\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
\expandafter\def\csname PY@tok@nd\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.67,0.13,1.00}{##1}}}
\expandafter\def\csname PY@tok@s\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
\expandafter\def\csname PY@tok@sd\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
\expandafter\def\csname PY@tok@si\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.53}{##1}}}
\expandafter\def\csname PY@tok@se\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.13}{##1}}}
\expandafter\def\csname PY@tok@sr\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.53}{##1}}}
\expandafter\def\csname PY@tok@ss\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
\expandafter\def\csname PY@tok@sx\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
\expandafter\def\csname PY@tok@m\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
\expandafter\def\csname PY@tok@gh\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,0.50}{##1}}}
\expandafter\def\csname PY@tok@gu\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.50,0.00,0.50}{##1}}}
\expandafter\def\csname PY@tok@gd\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.63,0.00,0.00}{##1}}}
\expandafter\def\csname PY@tok@gi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.63,0.00}{##1}}}
\expandafter\def\csname PY@tok@gr\endcsname{\def\PY@tc##1{\textcolor[rgb]{1.00,0.00,0.00}{##1}}}
\expandafter\def\csname PY@tok@ge\endcsname{\let\PY@it=\textit}
\expandafter\def\csname PY@tok@gs\endcsname{\let\PY@bf=\textbf}
\expandafter\def\csname PY@tok@gp\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,0.50}{##1}}}
\expandafter\def\csname PY@tok@go\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.53,0.53,0.53}{##1}}}
\expandafter\def\csname PY@tok@gt\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.27,0.87}{##1}}}
\expandafter\def\csname PY@tok@err\endcsname{\def\PY@bc##1{\setlength{\fboxsep}{0pt}\fcolorbox[rgb]{1.00,0.00,0.00}{1,1,1}{\strut ##1}}}
\expandafter\def\csname PY@tok@kc\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
\expandafter\def\csname PY@tok@kd\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
\expandafter\def\csname PY@tok@kn\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
\expandafter\def\csname PY@tok@kr\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
\expandafter\def\csname PY@tok@bp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
\expandafter\def\csname PY@tok@fm\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}}
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\expandafter\def\csname PY@tok@vg\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
\expandafter\def\csname PY@tok@vi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
\expandafter\def\csname PY@tok@vm\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
\expandafter\def\csname PY@tok@sa\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
\expandafter\def\csname PY@tok@sb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
\expandafter\def\csname PY@tok@sc\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
\expandafter\def\csname PY@tok@dl\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
\expandafter\def\csname PY@tok@s2\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
\expandafter\def\csname PY@tok@sh\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
\expandafter\def\csname PY@tok@s1\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
\expandafter\def\csname PY@tok@mb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
\expandafter\def\csname PY@tok@mf\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
\expandafter\def\csname PY@tok@mh\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
\expandafter\def\csname PY@tok@mi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
\expandafter\def\csname PY@tok@il\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
\expandafter\def\csname PY@tok@mo\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
\expandafter\def\csname PY@tok@ch\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
\expandafter\def\csname PY@tok@cm\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
\expandafter\def\csname PY@tok@cpf\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
\expandafter\def\csname PY@tok@c1\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
\expandafter\def\csname PY@tok@cs\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
\def\PYZbs{\char`\\}
\def\PYZus{\char`\_}
\def\PYZob{\char`\{}
\def\PYZcb{\char`\}}
\def\PYZca{\char`\^}
\def\PYZam{\char`\&}
\def\PYZlt{\char`\<}
\def\PYZgt{\char`\>}
\def\PYZsh{\char`\#}
\def\PYZpc{\char`\%}
\def\PYZdl{\char`\$}
\def\PYZhy{\char`\-}
\def\PYZsq{\char`\'}
\def\PYZdq{\char`\"}
\def\PYZti{\char`\~}
% for compatibility with earlier versions
\def\PYZat{@}
\def\PYZlb{[}
\def\PYZrb{]}
\makeatother
% Exact colors from NB
\definecolor{incolor}{rgb}{0.0, 0.0, 0.5}
\definecolor{outcolor}{rgb}{0.545, 0.0, 0.0}
% Prevent overflowing lines due to hard-to-break entities
\sloppy
% Setup hyperref package
\hypersetup{
breaklinks=true, % so long urls are correctly broken across lines
colorlinks=true,
urlcolor=urlcolor,
linkcolor=linkcolor,
citecolor=citecolor,
}
% Slightly bigger margins than the latex defaults
\geometry{verbose,tmargin=1in,bmargin=1in,lmargin=1in,rmargin=1in}
\begin{document}
\maketitle
\subsection{Import statements}\label{import-statements}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}22}]:} \PY{k+kn}{import} \PY{n+nn}{datetime}
\PY{k+kn}{from} \PY{n+nn}{scipy} \PY{k}{import} \PY{n}{stats}
\PY{k+kn}{import} \PY{n+nn}{time}
\PY{k+kn}{import} \PY{n+nn}{pickle}
\PY{k+kn}{import} \PY{n+nn}{pandas} \PY{k}{as} \PY{n+nn}{pd}
\PY{k+kn}{import} \PY{n+nn}{gpxpy}
\PY{k+kn}{from} \PY{n+nn}{matplotlib} \PY{k}{import} \PY{n}{pyplot} \PY{k}{as} \PY{n}{plt}
\PY{k+kn}{import} \PY{n+nn}{pyproj}
\PY{k+kn}{import} \PY{n+nn}{georaster} \PY{k}{as} \PY{n+nn}{gr}
\PY{k+kn}{import} \PY{n+nn}{numpy} \PY{k}{as} \PY{n+nn}{np}
\PY{k+kn}{import} \PY{n+nn}{os}
\end{Verbatim}
\subsection{File structure}\label{file-structure}
The relations of each file to the specific flight are noted here.
\textbf{radar\_data} specifies the interpreted shot count - return time
data. \textbf{tracks} specifies the track gpx (or custom pickled format)
name and \textbf{wpt\_sync} specifies which method to use for
synchronizing the RADAR and GNSS time: using waypoint/shot count or GNSS
time / shot count. \textbf{waypoints} specifies the gpx waypoint file to
use, if that type of synchronization is chosen. \textbf{sync\_file}
specifies the relation between waypoint number, or GNSS time, and shot
count. \textbf{doubled} is a boolean value for if the x-values in
\textbf{radar\_data} are stretched to twice their length (to help the
previous interpretation part).
A folder named \textbf{input} should be present in the same folder as
the script. In this folder, five subfolders: \textbf{a\_radar\_data,
b\_shot\_vs\_wpt, b\_waypoints, c\_tracks} should be present, as well as
\textbf{data\_structure.csv}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}23}]:} \PY{n}{structure} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{read\PYZus{}csv}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{input/data\PYZus{}structure.csv}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{n}{index\PYZus{}col}\PY{o}{=}\PY{l+m+mi}{0}\PY{p}{)}
\PY{n}{structure} \PY{c+c1}{\PYZsh{} Preview}
\end{Verbatim}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{outcolor}Out[{\color{outcolor}23}]:} radar\_data tracks wpt\_sync \textbackslash{}
name
erik1 erik1\_out\_171212.txt MARMA17C.gpx True
erik2 erik2\_out\_171212.txt MARMA17C.gpx True
erik3 erik3\_out\_171212.txt MARMA17C.gpx True
klara2 klara2\_out\_171212.txt 2014\_radar.gpx False
anders1 anders1\_out\_171220.txt anders1\_track.p False
waypoints sync\_file doubled
name
erik1 Marma17C Waypoints.gpx erik1\_waypoints.csv False
erik2 Marma17C Waypoints.gpx erik2\_waypoints.csv False
erik3 Marma17C Waypoints.gpx erik3\_waypoints.csv False
klara2 NaN klara2\_times.csv True
anders1 NaN anders1\_times.csv True
\end{Verbatim}
\subsection{Step A: Read RADAR data}\label{step-a-read-radar-data}
The RADAR data are structured as shot number (relative time), return
time and return type. This step reads the radar data csv table and
formats it to a Pandas DataFrame.
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}24}]:} \PY{k}{def} \PY{n+nf}{a\PYZus{}read\PYZus{}radar}\PY{p}{(}\PY{n}{in\PYZus{}data}\PY{p}{,} \PY{n}{flight}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Reads radar csv tables and formats them to a DataFrame}
\PY{l+s+sd}{ :param flights: List of flights to process.}
\PY{l+s+sd}{ \PYZdq{}\PYZdq{}\PYZdq{}}
\PY{n}{doubled} \PY{o}{=} \PY{n}{structure}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{n}{flight}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{doubled}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}
\PY{n}{values} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{read\PYZus{}csv}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{input/a\PYZus{}radar\PYZus{}data/}\PY{l+s+s2}{\PYZdq{}} \PY{o}{+} \PY{n}{structure}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{n}{flight}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{radar\PYZus{}data}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{)}
\PY{n}{values}\PY{o}{.}\PY{n}{sort\PYZus{}values}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{x}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{n}{inplace}\PY{o}{=}\PY{k+kc}{True}\PY{p}{)}
\PY{n}{values}\PY{o}{.}\PY{n}{y} \PY{o}{=} \PY{n}{values}\PY{o}{.}\PY{n}{y} \PY{o}{*} \PY{o}{\PYZhy{}}\PY{l+m+mi}{1} \PY{c+c1}{\PYZsh{} The y\PYZhy{}values should be positive}
\PY{k}{if} \PY{n}{doubled}\PY{p}{:} \PY{c+c1}{\PYZsh{} If x\PYZhy{}axis was doubled during interpretation}
\PY{n}{values}\PY{o}{.}\PY{n}{x} \PY{o}{=} \PY{n}{values}\PY{o}{.}\PY{n}{x} \PY{o}{*} \PY{l+m+mf}{0.5}
\PY{k}{return} \PY{n}{values}\PY{p}{[}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{x}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{y}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{typ}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{]}
\end{Verbatim}
\textbf{Data preview}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}25}]:} \PY{n}{preview\PYZus{}flight} \PY{o}{=} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{anders1}\PY{l+s+s2}{\PYZdq{}}
\PY{n}{a\PYZus{}preview\PYZus{}data} \PY{o}{=} \PY{n}{a\PYZus{}read\PYZus{}radar}\PY{p}{(}\PY{n}{in\PYZus{}data}\PY{o}{=}\PY{k+kc}{None}\PY{p}{,} \PY{n}{flight}\PY{o}{=}\PY{n}{preview\PYZus{}flight}\PY{p}{)}
\PY{n}{a\PYZus{}preview\PYZus{}data}\PY{o}{.}\PY{n}{head}\PY{p}{(}\PY{p}{)}
\end{Verbatim}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{outcolor}Out[{\color{outcolor}25}]:} x y typ
0 3.785150 136.966568 mark
1 3.995588 135.359590 mark
2 4.206026 133.752611 mark
3 4.416463 132.145632 mark
4 4.626901 130.538653 mark
\end{Verbatim}
\subsection{Step B: Synchronize shot count with GNSS
time}\label{step-b-synchronize-shot-count-with-gnss-time}
The step uses the RADAR 'x-values' (shot count) and waypoints (their
timestamps), or hard coded GNSS times, to synchronize the RADAR data.
The function uses linear regression to correlate these parameters, which
therefore accounts for possible inaccuracies in the \textbf{sync\_file}
due to human error.
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}42}]:} \PY{k}{def} \PY{n+nf}{b\PYZus{}shot\PYZus{}sync}\PY{p}{(}\PY{n}{in\PYZus{}data}\PY{p}{,} \PY{n}{flight}\PY{p}{,} \PY{n}{evaluation}\PY{o}{=}\PY{k+kc}{False}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Uses a \PYZsq{}X\PYZhy{}value to waypoint/time stamp\PYZsq{} synchronisation file, alternatively with a waypoint GPX\PYZhy{}file, }
\PY{l+s+sd}{ to synchronise shot count with the GNSS time.\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{c+c1}{\PYZsh{} Read structure table}
\PY{n}{waypoint\PYZus{}gpx} \PY{o}{=} \PY{n}{structure}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{n}{flight}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{waypoints}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]} \PY{c+c1}{\PYZsh{} Name of waypoint gpx file, if needed}
\PY{n}{sync\PYZus{}file} \PY{o}{=} \PY{n}{structure}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{n}{flight}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{sync\PYZus{}file}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]} \PY{c+c1}{\PYZsh{} Synchronisation file}
\PY{n}{wpt\PYZus{}sync} \PY{o}{=} \PY{n}{structure}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{n}{flight}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{wpt\PYZus{}sync}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]} \PY{c+c1}{\PYZsh{} Boolean: If synchronisation should be done with waypoints}
\PY{c+c1}{\PYZsh{} If synchronisation should be done with waypoints}
\PY{k}{if} \PY{n}{wpt\PYZus{}sync}\PY{p}{:}
\PY{n}{gpx} \PY{o}{=} \PY{n}{gpxpy}\PY{o}{.}\PY{n}{parse}\PY{p}{(}\PY{n+nb}{open}\PY{p}{(}\PY{n}{f}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{input/b\PYZus{}waypoints/}\PY{l+s+si}{\PYZob{}waypoint\PYZus{}gpx\PYZcb{}}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}\PY{p}{)} \PY{c+c1}{\PYZsh{} Load waypoints gpx}
\PY{c+c1}{\PYZsh{} Get waypoints (name as int) and respective time (in Unix time)}
\PY{n}{wpts} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{Series}\PY{p}{(}\PY{p}{[}\PY{n}{time}\PY{o}{.}\PY{n}{mktime}\PY{p}{(}\PY{n}{wpt}\PY{o}{.}\PY{n}{time}\PY{o}{.}\PY{n}{timetuple}\PY{p}{(}\PY{p}{)}\PY{p}{)} \PY{k}{for} \PY{n}{wpt} \PY{o+ow}{in} \PY{n}{gpx}\PY{o}{.}\PY{n}{waypoints}\PY{p}{]}\PY{p}{,} \PY{p}{[}\PY{n+nb}{int}\PY{p}{(}\PY{n}{wpt}\PY{o}{.}\PY{n}{name}\PY{p}{)} \PY{k}{for} \PY{n}{wpt} \PY{o+ow}{in} \PY{n}{gpx}\PY{o}{.}\PY{n}{waypoints}\PY{p}{]}\PY{p}{)}
\PY{c+c1}{\PYZsh{} Load csv with x values for respective waypoint}
\PY{n}{wpt\PYZus{}x} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{read\PYZus{}csv}\PY{p}{(}\PY{n}{f}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{input/b\PYZus{}shot\PYZus{}vs\PYZus{}wpt/}\PY{l+s+si}{\PYZob{}sync\PYZus{}file\PYZcb{}}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{n}{squeeze}\PY{o}{=}\PY{k+kc}{True}\PY{p}{,} \PY{n}{index\PYZus{}col}\PY{o}{=}\PY{l+m+mi}{0}\PY{p}{)}
\PY{n}{x\PYZus{}times} \PY{o}{=} \PY{n}{wpt\PYZus{}x}\PY{o}{.}\PY{n}{apply}\PY{p}{(}\PY{k}{lambda} \PY{n}{x}\PY{p}{:} \PY{n}{wpts}\PY{p}{[}\PY{n}{x}\PY{p}{]}\PY{p}{)} \PY{c+c1}{\PYZsh{} Use waypoint names (indices) to get respective time}
\PY{c+c1}{\PYZsh{} If synchronisation should be done using time stamps}
\PY{k}{else}\PY{p}{:}
\PY{n}{x\PYZus{}times} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{read\PYZus{}csv}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{input/b\PYZus{}shot\PYZus{}vs\PYZus{}wpt/}\PY{l+s+s2}{\PYZdq{}} \PY{o}{+} \PY{n}{sync\PYZus{}file}\PY{p}{,} \PY{n}{squeeze}\PY{o}{=}\PY{k+kc}{True}\PY{p}{,} \PY{n}{index\PYZus{}col}\PY{o}{=}\PY{l+m+mi}{0}\PY{p}{)}
\PY{n}{x\PYZus{}times} \PY{o}{=} \PY{n}{x\PYZus{}times}\PY{o}{.}\PY{n}{apply}\PY{p}{(}\PY{k}{lambda} \PY{n}{x}\PY{p}{:} \PY{n}{time}\PY{o}{.}\PY{n}{mktime}\PY{p}{(}\PY{n}{datetime}\PY{o}{.}\PY{n}{datetime}\PY{o}{.}\PY{n}{strptime}\PY{p}{(}\PY{n}{x}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+si}{\PYZpc{}d}\PY{l+s+s2}{/}\PY{l+s+s2}{\PYZpc{}}\PY{l+s+s2}{m/}\PY{l+s+s2}{\PYZpc{}}\PY{l+s+s2}{Y }\PY{l+s+s2}{\PYZpc{}}\PY{l+s+s2}{H:}\PY{l+s+s2}{\PYZpc{}}\PY{l+s+s2}{M:}\PY{l+s+s2}{\PYZpc{}}\PY{l+s+s2}{S}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}\PY{o}{.}\PY{n}{timetuple}\PY{p}{(}\PY{p}{)}\PY{p}{)}\PY{p}{)} \PY{c+c1}{\PYZsh{} sec from string}
\PY{c+c1}{\PYZsh{} If evaluation is True, return a graph of x\PYZhy{}values in relation to time (Unix\PYZhy{}time)}
\PY{k}{if} \PY{n}{evaluation}\PY{p}{:}
\PY{n}{x\PYZus{}times}\PY{o}{.}\PY{n}{plot}\PY{p}{(}\PY{n}{marker}\PY{o}{=}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{+}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}
\PY{n}{plt}\PY{o}{.}\PY{n}{title}\PY{p}{(}\PY{n}{flight}\PY{p}{)}
\PY{n}{plt}\PY{o}{.}\PY{n}{show}\PY{p}{(}\PY{p}{)}
\PY{c+c1}{\PYZsh{} Check correlation between x\PYZhy{}values and time, and warn if poor}
\PY{n}{corr} \PY{o}{=} \PY{n}{np}\PY{o}{.}\PY{n}{corrcoef}\PY{p}{(}\PY{n}{x\PYZus{}times}\PY{p}{,} \PY{n}{x\PYZus{}times}\PY{o}{.}\PY{n}{index}\PY{p}{)}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{,} \PY{l+m+mi}{0}\PY{p}{]}
\PY{k}{if} \PY{n}{corr} \PY{o}{\PYZlt{}} \PY{l+m+mf}{0.9}\PY{p}{:}
\PY{n+nb}{print}\PY{p}{(}\PY{n}{f}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{WARNING: }\PY{l+s+si}{\PYZob{}flight\PYZcb{}}\PY{l+s+s2}{ sync file shows poor correlation (r=}\PY{l+s+s2}{\PYZob{}}\PY{l+s+s2}{round(corr, 4)\PYZcb{})}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}
\PY{c+c1}{\PYZsh{} Time where x=0; Regression between X\PYZhy{}values and Unix\PYZhy{}times. Extract m\PYZhy{}value (where x=0) and convert back to DateTime.}
\PY{n}{x\PYZus{}0} \PY{o}{=} \PY{n}{datetime}\PY{o}{.}\PY{n}{datetime}\PY{o}{.}\PY{n}{fromtimestamp}\PY{p}{(}\PY{n}{stats}\PY{o}{.}\PY{n}{linregress}\PY{p}{(}\PY{n}{x\PYZus{}times}\PY{o}{.}\PY{n}{index}\PY{p}{,} \PY{n+nb}{list}\PY{p}{(}\PY{n}{x\PYZus{}times}\PY{p}{)}\PY{p}{)}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{]}\PY{p}{)}
\PY{c+c1}{\PYZsh{} Make new column \PYZdq{}time\PYZdq{} using the x\PYZus{}0 time added with the amount of shots divided by two (shoots twice a second)}
\PY{n}{in\PYZus{}data}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{time}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]} \PY{o}{=} \PY{n}{in\PYZus{}data}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{x}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{o}{.}\PY{n}{apply}\PY{p}{(}\PY{k}{lambda} \PY{n}{x}\PY{p}{:} \PY{n}{x\PYZus{}0} \PY{o}{+} \PY{n}{datetime}\PY{o}{.}\PY{n}{timedelta}\PY{p}{(}\PY{n}{seconds}\PY{o}{=}\PY{n}{x} \PY{o}{/} \PY{l+m+mi}{2}\PY{p}{)}\PY{p}{)}
\PY{n}{in\PYZus{}data} \PY{o}{=} \PY{n}{in\PYZus{}data}\PY{o}{.}\PY{n}{set\PYZus{}index}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{time}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}\PY{p}{[}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{y}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{typ}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{]} \PY{c+c1}{\PYZsh{} Make time column the index, and only keep y and typ}
\PY{c+c1}{\PYZsh{} Resample the data in 1s intervals, and make columns with depth for each signal.}
\PY{n}{types} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{DataFrame}\PY{p}{(}\PY{p}{\PYZob{}}\PY{n}{typ}\PY{p}{:} \PY{n}{typ\PYZus{}df}\PY{o}{.}\PY{n}{resample}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{1S}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}\PY{o}{.}\PY{n}{mean}\PY{p}{(}\PY{p}{)}\PY{o}{.}\PY{n}{iloc}\PY{p}{[}\PY{p}{:}\PY{p}{,} \PY{l+m+mi}{0}\PY{p}{]} \PY{k}{for} \PY{n}{typ}\PY{p}{,} \PY{n}{typ\PYZus{}df} \PY{o+ow}{in} \PY{n}{in\PYZus{}data}\PY{o}{.}\PY{n}{groupby}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{typ}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}\PY{p}{\PYZcb{}}\PY{p}{)}
\PY{k}{return} \PY{n}{types}
\end{Verbatim}
\textbf{Data preview}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}43}]:} \PY{n}{b\PYZus{}preview\PYZus{}data} \PY{o}{=} \PY{n}{b\PYZus{}shot\PYZus{}sync}\PY{p}{(}\PY{n}{a\PYZus{}preview\PYZus{}data}\PY{p}{,} \PY{n}{flight}\PY{o}{=}\PY{n}{preview\PYZus{}flight}\PY{p}{)}
\PY{c+c1}{\PYZsh{}b\PYZus{}preview\PYZus{}data.dropna().head()}
\end{Verbatim}
\begin{Verbatim}[commandchars=\\\{\}]
y
typ time
fuffens 2012-04-16 09:18:57 146.004631
2012-04-16 09:18:58 144.795451
2012-04-16 09:18:59 143.586272
2012-04-16 09:19:00 142.377093
2012-04-16 09:19:01 141.908656
\end{Verbatim}
\subsection{Step C: Georeference the RADAR data using the GNSS
track}\label{step-c-georeference-the-radar-data-using-the-gnss-track}
With the correct time of the shots being known in the previous step, the
GNSS and RADAR data can simply be joined using the time index. First, a
GPX track is loaded. It also projects the input WGS 1984 coordinates
into the specified projected system (epsg:3006 = SWEREF 99TM).
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}28}]:} \PY{k}{def} \PY{n+nf}{c\PYZus{}georeference}\PY{p}{(}\PY{n}{in\PYZus{}data}\PY{p}{,} \PY{n}{flight}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Uses a \PYZsq{}track GPX\PYZsq{} file to georeference the synchronised input data\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{n}{gpx\PYZus{}name} \PY{o}{=} \PY{n}{structure}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{n}{flight}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{tracks}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}
\PY{k}{if} \PY{n}{gpx\PYZus{}name}\PY{o}{.}\PY{n}{endswith}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{.gpx}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}\PY{p}{:} \PY{c+c1}{\PYZsh{} Load gpx file as DataFrame}
\PY{n}{gpx} \PY{o}{=} \PY{n}{gpxpy}\PY{o}{.}\PY{n}{parse}\PY{p}{(}\PY{n+nb}{open}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{input/c\PYZus{}tracks/}\PY{l+s+s2}{\PYZdq{}} \PY{o}{+} \PY{n}{gpx\PYZus{}name}\PY{p}{)}\PY{p}{)}
\PY{c+c1}{\PYZsh{} Extract data for DataFrame}
\PY{n}{columns} \PY{o}{=} \PY{p}{[}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{Longitude}\PY{l+s+s1}{\PYZsq{}}\PY{p}{,} \PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{Latitude}\PY{l+s+s1}{\PYZsq{}}\PY{p}{,} \PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{Altitude}\PY{l+s+s1}{\PYZsq{}}\PY{p}{]}
\PY{n}{gpx\PYZus{}df} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{DataFrame}\PY{p}{(}\PY{n}{columns}\PY{o}{=}\PY{n}{columns}\PY{p}{)}
\PY{k}{for} \PY{n}{track} \PY{o+ow}{in} \PY{n}{gpx}\PY{o}{.}\PY{n}{tracks}\PY{p}{:}
\PY{k}{for} \PY{n}{segment} \PY{o+ow}{in} \PY{n}{track}\PY{o}{.}\PY{n}{segments}\PY{p}{:}
\PY{k}{for} \PY{n}{i}\PY{p}{,} \PY{n}{point} \PY{o+ow}{in} \PY{n+nb}{enumerate}\PY{p}{(}\PY{n}{segment}\PY{o}{.}\PY{n}{points}\PY{p}{)}\PY{p}{:}
\PY{n}{gpx\PYZus{}df}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{n}{point}\PY{o}{.}\PY{n}{time}\PY{p}{,} \PY{n}{columns}\PY{p}{]} \PY{o}{=} \PY{n}{point}\PY{o}{.}\PY{n}{longitude}\PY{p}{,} \PY{n}{point}\PY{o}{.}\PY{n}{latitude}\PY{p}{,} \PY{n}{point}\PY{o}{.}\PY{n}{elevation} \PY{c+c1}{\PYZsh{} Append properties to gpx\PYZus{}df}
\PY{k}{elif} \PY{n}{gpx\PYZus{}name}\PY{o}{.}\PY{n}{endswith}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{.p}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}\PY{p}{:} \PY{c+c1}{\PYZsh{} Exception made for \PYZsq{}anders1\PYZsq{} flight. Loads prepared pickled dataframe}
\PY{n}{gpx\PYZus{}df} \PY{o}{=} \PY{n}{pickle}\PY{o}{.}\PY{n}{load}\PY{p}{(}\PY{n+nb}{open}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{input/c\PYZus{}tracks/}\PY{l+s+s2}{\PYZdq{}} \PY{o}{+} \PY{n}{gpx\PYZus{}name}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{rb}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}\PY{p}{)}
\PY{c+c1}{\PYZsh{} Project geographic coordinates to SWEREF99TM}
\PY{n}{in\PYZus{}proj} \PY{o}{=} \PY{n}{pyproj}\PY{o}{.}\PY{n}{Proj}\PY{p}{(}\PY{n}{init}\PY{o}{=}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{epsg:4326}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)} \PY{c+c1}{\PYZsh{} WGS1984}
\PY{n}{out\PYZus{}proj} \PY{o}{=} \PY{n}{pyproj}\PY{o}{.}\PY{n}{Proj}\PY{p}{(}\PY{n}{init}\PY{o}{=}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{epsg:3006}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)} \PY{c+c1}{\PYZsh{} SWEREF99TM}
\PY{k}{for} \PY{n}{i}\PY{p}{,} \PY{n}{row} \PY{o+ow}{in} \PY{n}{gpx\PYZus{}df}\PY{o}{.}\PY{n}{iterrows}\PY{p}{(}\PY{p}{)}\PY{p}{:}
\PY{n}{x}\PY{p}{,} \PY{n}{y} \PY{o}{=} \PY{n}{pyproj}\PY{o}{.}\PY{n}{transform}\PY{p}{(}\PY{n}{in\PYZus{}proj}\PY{p}{,} \PY{n}{out\PYZus{}proj}\PY{p}{,} \PY{n}{row}\PY{o}{.}\PY{n}{Longitude}\PY{p}{,} \PY{n}{row}\PY{o}{.}\PY{n}{Latitude}\PY{p}{)}
\PY{n}{gpx\PYZus{}df}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{n}{i}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Easting}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]} \PY{o}{=} \PY{n}{x}
\PY{n}{gpx\PYZus{}df}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{n}{i}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Northing}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]} \PY{o}{=} \PY{n}{y}
\PY{n}{gpx\PYZus{}i} \PY{o}{=} \PY{n}{gpx\PYZus{}df}\PY{o}{.}\PY{n}{resample}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{1s}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}\PY{o}{.}\PY{n}{first}\PY{p}{(}\PY{p}{)}\PY{o}{.}\PY{n}{interpolate}\PY{p}{(}\PY{p}{)} \PY{c+c1}{\PYZsh{} Interpolated gpx (if gpx is sampled over \PYZgt{}1s)}
\PY{n}{joined} \PY{o}{=} \PY{n}{in\PYZus{}data}\PY{o}{.}\PY{n}{join}\PY{p}{(}\PY{n}{gpx\PYZus{}i}\PY{p}{)} \PY{c+c1}{\PYZsh{} Join gpx data with radar data }
\PY{k}{return} \PY{n}{joined}\PY{p}{[}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Easting}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Northing}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Altitude}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{mark}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{glacier}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{fuffens}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{]}
\end{Verbatim}
\textbf{Data preview}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}29}]:} \PY{n}{c\PYZus{}preview\PYZus{}data} \PY{o}{=} \PY{n}{c\PYZus{}georeference}\PY{p}{(}\PY{n}{b\PYZus{}preview\PYZus{}data}\PY{p}{,} \PY{n}{flight}\PY{o}{=}\PY{n}{preview\PYZus{}flight}\PY{p}{)}
\PY{n}{c\PYZus{}preview\PYZus{}data}\PY{o}{.}\PY{n}{dropna}\PY{p}{(}\PY{p}{)}\PY{o}{.}\PY{n}{head}\PY{p}{(}\PY{p}{)}
\end{Verbatim}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{outcolor}Out[{\color{outcolor}29}]:} Easting Northing Altitude mark \textbackslash{}
time
2012-04-16 09:18:57 654603.710526 7.556587e+06 1315.20 200.920350
2012-04-16 09:18:58 654579.098396 7.556585e+06 1319.55 209.217710
2012-04-16 09:18:59 654554.486266 7.556582e+06 1323.90 217.389633
2012-04-16 09:19:00 654530.237682 7.556580e+06 1327.50 225.561556
2012-04-16 09:19:01 654505.989098 7.556577e+06 1331.10 232.990576
glacier fuffens
time
2012-04-16 09:18:57 54.606126 146.004631
2012-04-16 09:18:58 53.805664 144.795451
2012-04-16 09:18:59 53.005203 143.586272
2012-04-16 09:19:00 52.204742 142.377093
2012-04-16 09:19:01 51.404280 141.908656
\end{Verbatim}
\subsection{Step D: Shot return time to altitude
conversion}\label{step-d-shot-return-time-to-altitude-conversion}
Takes the input return time values and converts them to reflectance
distance, and then to altitude using the GNSS altitudes. Since the
signal travels in a vastly different speed through air vs. in ice, this
is accounted for.
The distance to the glacier surface \(d_g\) (if there is any at that
specific shot) is first measured using air speed \(v_a\):
\[ d_g = t_g \times v_a \times \frac{1}{512}\] The englacial signal
distance \(d_e\) is then defined using the following formula:
\[ d_e = d_g + v_g (t_e - t_g) \times \frac{1}{512}\] Where \(d_g\) is
the distance to the glacier (from where to begin adding englacial
depth), \(v_g\) and \(v_a\) are respectively glacier and air velocities,
and \(t_e\) is the englacial travel time. The englacial distance is
divided by 512 to get the distance in meters. Glacier travel time can
also be expressed through glacier distance, which is easier to do in the
algorithm: \[t_g = \frac{d_g \times 512}{v_a} \]
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}30}]:} \PY{k}{def} \PY{n+nf}{d\PYZus{}depth\PYZus{}from\PYZus{}y}\PY{p}{(}\PY{n}{in\PYZus{}data}\PY{p}{,} \PY{n}{flight}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Takes intensity (y) values and converts them to GNSS derived altitude\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{c+c1}{\PYZsh{} RADAR signal velocities}
\PY{n}{v0} \PY{o}{=} \PY{l+m+mi}{300} \PY{c+c1}{\PYZsh{} In air}
\PY{n}{v1} \PY{o}{=} \PY{l+m+mi}{170} \PY{c+c1}{\PYZsh{} In ice}
\PY{k}{def} \PY{n+nf}{depth\PYZus{}ice}\PY{p}{(}\PY{n}{val}\PY{p}{,} \PY{n}{glacier\PYZus{}dist}\PY{p}{)}\PY{p}{:} \PY{c+c1}{\PYZsh{} In cases with glacier penetration (including air travel time)}
\PY{n}{t\PYZus{}g} \PY{o}{=} \PY{p}{(}\PY{n}{glacier\PYZus{}dist} \PY{o}{*} \PY{l+m+mi}{512}\PY{p}{)} \PY{o}{/} \PY{n}{v0}
\PY{k}{return} \PY{n}{glacier\PYZus{}dist} \PY{o}{+} \PY{p}{(}\PY{n}{v1} \PY{o}{*} \PY{p}{(}\PY{n}{val} \PY{o}{\PYZhy{}} \PY{n}{t\PYZus{}g}\PY{p}{)}\PY{p}{)} \PY{o}{/} \PY{l+m+mi}{512}
\PY{k}{def} \PY{n+nf}{depth\PYZus{}air}\PY{p}{(}\PY{n}{val}\PY{p}{)}\PY{p}{:} \PY{c+c1}{\PYZsh{} In cases without glacier penetration.}
\PY{k}{return} \PY{p}{(}\PY{n}{val} \PY{o}{/} \PY{l+m+mi}{512}\PY{p}{)} \PY{o}{*} \PY{n}{v0}
\PY{c+c1}{\PYZsh{} Split data set to data with or without glacier penetration}
\PY{n}{glacier\PYZus{}data} \PY{o}{=} \PY{n}{in\PYZus{}data}\PY{p}{[}\PY{n}{in\PYZus{}data}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{glacier}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{o}{.}\PY{n}{notnull}\PY{p}{(}\PY{p}{)}\PY{p}{]}\PY{o}{.}\PY{n}{copy}\PY{p}{(}\PY{p}{)}
\PY{n}{mark\PYZus{}data} \PY{o}{=} \PY{n}{in\PYZus{}data}\PY{p}{[}\PY{n}{in\PYZus{}data}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{glacier}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{o}{.}\PY{n}{isnull}\PY{p}{(}\PY{p}{)}\PY{p}{]}\PY{o}{.}\PY{n}{copy}\PY{p}{(}\PY{p}{)}
\PY{c+c1}{\PYZsh{} Remove any fuffens if it doesn\PYZsq{}t have a glacier value}
\PY{n}{mark\PYZus{}data}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{p}{:}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{fuffens}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]} \PY{o}{=} \PY{n}{np}\PY{o}{.}\PY{n}{NaN}
\PY{c+c1}{\PYZsh{} Calculate depth for values featuring no glacier penetration (only through air)}
\PY{n}{glacier\PYZus{}data}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{p}{:}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{glacier}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]} \PY{o}{=} \PY{n}{depth\PYZus{}air}\PY{p}{(}\PY{n}{glacier\PYZus{}data}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{p}{:}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{glacier}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{)} \PY{c+c1}{\PYZsh{} Only passes through air}
\PY{n}{mark\PYZus{}data}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{p}{:}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{mark}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]} \PY{o}{=} \PY{n}{depth\PYZus{}air}\PY{p}{(}\PY{n}{mark\PYZus{}data}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{p}{:}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{mark}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{)}
\PY{c+c1}{\PYZsh{} Calculate depth for values featuring glacier penetration }
\PY{k}{for} \PY{n}{col} \PY{o+ow}{in} \PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{mark}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{fuffens}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{:}
\PY{n}{glacier\PYZus{}data}\PY{p}{[}\PY{n}{col}\PY{p}{]} \PY{o}{=} \PY{n}{depth\PYZus{}ice}\PY{p}{(}\PY{n}{glacier\PYZus{}data}\PY{p}{[}\PY{n}{col}\PY{p}{]}\PY{p}{,} \PY{n}{glacier\PYZus{}data}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{glacier}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{)}
\PY{c+c1}{\PYZsh{} Concatenate the two split DataFrames}
\PY{n}{data} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{concat}\PY{p}{(}\PY{p}{[}\PY{n}{glacier\PYZus{}data}\PY{p}{,} \PY{n}{mark\PYZus{}data}\PY{p}{]}\PY{p}{)}\PY{o}{.}\PY{n}{sort\PYZus{}index}\PY{p}{(}\PY{p}{)}
\PY{c+c1}{\PYZsh{} Convert depths to altitudes by comparing with GNSS altitude}
\PY{n}{data}\PY{p}{[}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{mark}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{fuffens}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{glacier}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{]} \PY{o}{=} \PY{n}{data}\PY{p}{[}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{mark}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{fuffens}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{glacier}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{]}\PY{o}{.}\PY{n}{apply}\PY{p}{(}\PY{k}{lambda} \PY{n}{x}\PY{p}{:} \PY{n}{data}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Altitude}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]} \PY{o}{\PYZhy{}} \PY{n}{x}\PY{p}{)}
\PY{k}{return} \PY{n}{data}
\end{Verbatim}
\textbf{Data preview}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}31}]:} \PY{n}{d\PYZus{}preview\PYZus{}data} \PY{o}{=} \PY{n}{d\PYZus{}depth\PYZus{}from\PYZus{}y}\PY{p}{(}\PY{n}{c\PYZus{}preview\PYZus{}data}\PY{p}{,} \PY{n}{flight}\PY{o}{=}\PY{n}{preview\PYZus{}flight}\PY{p}{)}
\PY{n}{d\PYZus{}preview\PYZus{}data}\PY{o}{.}\PY{n}{dropna}\PY{p}{(}\PY{p}{)}\PY{o}{.}\PY{n}{head}\PY{p}{(}\PY{p}{)}
\end{Verbatim}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{outcolor}Out[{\color{outcolor}31}]:} Easting Northing Altitude mark \textbackslash{}
time
2012-04-16 09:18:57 654603.710526 7.556587e+06 1315.20 1234.623328
2012-04-16 09:18:58 654579.098396 7.556585e+06 1319.55 1236.421588
2012-04-16 09:18:59 654554.486266 7.556582e+06 1323.90 1238.261496
2012-04-16 09:19:00 654530.237682 7.556580e+06 1327.50 1239.351404
2012-04-16 09:19:01 654505.989098 7.556577e+06 1331.10 1240.687980
glacier fuffens
time
2012-04-16 09:18:57 1283.204223 1252.857063
2012-04-16 09:18:58 1288.023243 1257.811791
2012-04-16 09:18:59 1292.842264 1262.766518
2012-04-16 09:19:00 1296.911284 1266.971246
2012-04-16 09:19:01 1300.980304 1270.930024
\end{Verbatim}
\subsection{Step E: Altitude correction using
DEM}\label{step-e-altitude-correction-using-dem}
Since the GNSS altitude measurements are unreliable, the altitudes of
every point is corrected using the glacier surface. The average offset
is also applied onto data points with no glacier surface.
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}32}]:} \PY{c+c1}{\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}}
\PY{c+c1}{\PYZsh{} E: Correct altitude to DEM}
\PY{c+c1}{\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}}
\PY{k}{def} \PY{n+nf}{e\PYZus{}correct\PYZus{}alt}\PY{p}{(}\PY{n}{in\PYZus{}data}\PY{p}{,} \PY{n}{flight}\PY{p}{)}\PY{p}{:}
\PY{n}{data} \PY{o}{=} \PY{n}{in\PYZus{}data}
\PY{n}{glacier\PYZus{}data} \PY{o}{=} \PY{n}{data}\PY{p}{[}\PY{n}{data}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{glacier}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{o}{.}\PY{n}{notnull}\PY{p}{(}\PY{p}{)}\PY{p}{]}\PY{o}{.}\PY{n}{copy}\PY{p}{(}\PY{p}{)}
\PY{n}{mark\PYZus{}data} \PY{o}{=} \PY{n}{data}\PY{p}{[}\PY{n}{data}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{glacier}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{o}{.}\PY{n}{isnull}\PY{p}{(}\PY{p}{)}\PY{p}{]}\PY{o}{.}\PY{n}{copy}\PY{p}{(}\PY{p}{)}
\PY{n}{dem} \PY{o}{=} \PY{n}{gr}\PY{o}{.}\PY{n}{SingleBandRaster}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{D:/Erik/Dokument/Maps/Mårma/Mårmaglaciären/Temp/Marma17\PYZus{}DEM\PYZus{}031017.tif}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}
\PY{n}{differences} \PY{o}{=} \PY{p}{[}\PY{p}{]}
\PY{k}{for} \PY{n}{i}\PY{p}{,} \PY{n}{row} \PY{o+ow}{in} \PY{n}{glacier\PYZus{}data}\PY{o}{.}\PY{n}{iterrows}\PY{p}{(}\PY{p}{)}\PY{p}{:}
\PY{c+c1}{\PYZsh{} Difference between GNSS Altitude + Depth and DEM Elevation}
\PY{n}{diff} \PY{o}{=} \PY{n}{dem}\PY{o}{.}\PY{n}{value\PYZus{}at\PYZus{}coords}\PY{p}{(}\PY{n}{row}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Easting}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{,} \PY{n}{row}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Northing}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{)} \PY{o}{\PYZhy{}} \PY{n}{row}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{glacier}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}
\PY{n}{differences}\PY{o}{.}\PY{n}{append}\PY{p}{(}\PY{n}{diff}\PY{p}{)}
\PY{n}{glacier\PYZus{}data}\PY{o}{.}\PY{n}{loc}\PY{p}{[}\PY{n}{i}\PY{p}{,} \PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Altitude}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{glacier}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{mark}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{fuffens}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{]} \PY{o}{+}\PY{o}{=} \PY{n}{diff}
\PY{c+c1}{\PYZsh{} Apply mean offset to ground with no glacier present.}
\PY{n}{mark\PYZus{}data}\PY{p}{[}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Altitude}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{mark}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{]} \PY{o}{+}\PY{o}{=} \PY{n}{np}\PY{o}{.}\PY{n}{mean}\PY{p}{(}\PY{n}{differences}\PY{p}{)}
\PY{n}{data} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{concat}\PY{p}{(}\PY{p}{[}\PY{n}{glacier\PYZus{}data}\PY{p}{,} \PY{n}{mark\PYZus{}data}\PY{p}{]}\PY{p}{)}\PY{o}{.}\PY{n}{sort\PYZus{}index}\PY{p}{(}\PY{p}{)}
\PY{k}{return} \PY{n}{data}
\end{Verbatim}
\textbf{Data preview}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}33}]:} \PY{n}{e\PYZus{}preview\PYZus{}data} \PY{o}{=} \PY{n}{e\PYZus{}correct\PYZus{}alt}\PY{p}{(}\PY{n}{d\PYZus{}preview\PYZus{}data}\PY{p}{,} \PY{n}{flight}\PY{o}{=}\PY{n}{preview\PYZus{}flight}\PY{p}{)}
\PY{n}{e\PYZus{}preview\PYZus{}data}\PY{o}{.}\PY{n}{dropna}\PY{p}{(}\PY{p}{)}\PY{o}{.}\PY{n}{head}\PY{p}{(}\PY{p}{)}
\end{Verbatim}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{outcolor}Out[{\color{outcolor}33}]:} Easting Northing Altitude mark \textbackslash{}
time
2012-04-16 09:18:57 654603.710526 7.556587e+06 1394.685596 1314.108925
2012-04-16 09:18:58 654579.098396 7.556585e+06 1397.876000 1314.747587
2012-04-16 09:18:59 654554.486266 7.556582e+06 1400.907956 1315.269452
2012-04-16 09:19:00 654530.237682 7.556580e+06 1404.080171 1315.931575
2012-04-16 09:19:01 654505.989098 7.556577e+06 1407.221136 1316.809116
glacier fuffens
time
2012-04-16 09:18:57 1362.689819 1332.342660
2012-04-16 09:18:58 1366.349243 1336.137791
2012-04-16 09:18:59 1369.850220 1339.774474
2012-04-16 09:19:00 1373.491455 1343.551417
2012-04-16 09:19:01 1377.101440 1347.051160
\end{Verbatim}
\subsection{Main application loop}\label{main-application-loop}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}34}]:} \PY{n}{auto\PYZus{}tag} \PY{o}{=} \PY{n}{datetime}\PY{o}{.}\PY{n}{datetime}\PY{o}{.}\PY{n}{today}\PY{p}{(}\PY{p}{)}\PY{o}{.}\PY{n}{strftime}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{\PYZpc{}}\PY{l+s+s2}{Y}\PY{l+s+s2}{\PYZpc{}}\PY{l+s+s2}{m}\PY{l+s+si}{\PYZpc{}d}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}\PY{p}{[}\PY{l+m+mi}{2}\PY{p}{:}\PY{p}{]} \PY{c+c1}{\PYZsh{} YYMMDD}
\PY{k}{def} \PY{n+nf}{prepare\PYZus{}radar}\PY{p}{(}\PY{n}{flights}\PY{p}{,} \PY{n}{save}\PY{o}{=}\PY{k+kc}{False}\PY{p}{,} \PY{n}{tag}\PY{o}{=}\PY{n}{auto\PYZus{}tag}\PY{p}{,} \PY{n}{unified}\PY{o}{=}\PY{k+kc}{False}\PY{p}{)}\PY{p}{:}
\PY{c+c1}{\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}}
\PY{c+c1}{\PYZsh{} Flight selections}
\PY{c+c1}{\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}}
\PY{c+c1}{\PYZsh{} If \PYZsq{}all\PYZsq{} is entered, use every flight in the structure table indices}
\PY{k}{if} \PY{n}{flights} \PY{o}{==} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{all}\PY{l+s+s2}{\PYZdq{}}\PY{p}{:}
\PY{n}{flights} \PY{o}{=} \PY{n+nb}{list}\PY{p}{(}\PY{n}{structure}\PY{o}{.}\PY{n}{index}\PY{o}{.}\PY{n}{values}\PY{p}{)}
\PY{c+c1}{\PYZsh{} If input is a single flight as a string, convert it to a list for compatibility}
\PY{k}{elif} \PY{n+nb}{isinstance}\PY{p}{(}\PY{n}{flights}\PY{p}{,} \PY{n+nb}{str}\PY{p}{)}\PY{p}{:}
\PY{n}{flights} \PY{o}{=} \PY{p}{[}\PY{n}{flights}\PY{p}{]}
\PY{c+c1}{\PYZsh{} Properties of the different steps}
\PY{n}{steps} \PY{o}{=} \PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{a}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{b}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{c}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{d}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{e}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}
\PY{n}{functions} \PY{o}{=} \PY{p}{[}\PY{n}{a\PYZus{}read\PYZus{}radar}\PY{p}{,} \PY{n}{b\PYZus{}shot\PYZus{}sync}\PY{p}{,} \PY{n}{c\PYZus{}georeference}\PY{p}{,} \PY{n}{d\PYZus{}depth\PYZus{}from\PYZus{}y}\PY{p}{,} \PY{n}{e\PYZus{}correct\PYZus{}alt}\PY{p}{]}
\PY{n}{step\PYZus{}function} \PY{o}{=} \PY{n+nb}{dict}\PY{p}{(}\PY{n+nb}{zip}\PY{p}{(}\PY{n}{steps}\PY{p}{,} \PY{n}{functions}\PY{p}{)}\PY{p}{)}
\PY{c+c1}{\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}}
\PY{c+c1}{\PYZsh{} Perform steps}
\PY{c+c1}{\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}\PYZsh{}}
\PY{n}{data} \PY{o}{=} \PY{p}{\PYZob{}}\PY{p}{\PYZcb{}}
\PY{n}{flight\PYZus{}data} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{DataFrame}\PY{p}{(}\PY{p}{)} \PY{c+c1}{\PYZsh{} Needed to not raise an error at A}
\PY{k}{for} \PY{n}{flight} \PY{o+ow}{in} \PY{n}{flights}\PY{p}{:}
\PY{k}{for} \PY{n}{step} \PY{o+ow}{in} \PY{n}{steps}\PY{p}{:}
\PY{n}{flight\PYZus{}data} \PY{o}{=} \PY{n}{step\PYZus{}function}\PY{p}{[}\PY{n}{step}\PY{p}{]}\PY{p}{(}\PY{n}{flight\PYZus{}data}\PY{p}{,} \PY{n}{flight}\PY{p}{)}
\PY{c+c1}{\PYZsh{} Add flight data to data dictionary}
\PY{n}{data}\PY{p}{[}\PY{n}{flight}\PY{p}{]} \PY{o}{=} \PY{n}{flight\PYZus{}data}
\PY{c+c1}{\PYZsh{} Save data}
\PY{k}{if} \PY{n}{save} \PY{o+ow}{and} \PY{o+ow}{not} \PY{n}{unified}\PY{p}{:}
\PY{n}{flight\PYZus{}data}\PY{o}{.}\PY{n}{to\PYZus{}csv}\PY{p}{(}\PY{n}{f}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{data/}\PY{l+s+si}{\PYZob{}flight\PYZcb{}}\PY{l+s+s2}{\PYZus{}}\PY{l+s+si}{\PYZob{}tag\PYZcb{}}\PY{l+s+s2}{.csv}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}
\PY{n+nb}{print}\PY{p}{(}\PY{n}{f}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+si}{\PYZob{}flight\PYZcb{}}\PY{l+s+s2}{ finished.}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}
\PY{c+c1}{\PYZsh{} Option to return a DataFrame with a flight column, instead of dictionary with flight as a key}
\PY{k}{if} \PY{n}{unified}\PY{p}{:}
\PY{n}{all\PYZus{}data} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{DataFrame}\PY{p}{(}\PY{p}{)}
\PY{k}{for} \PY{n}{name}\PY{p}{,} \PY{n}{df} \PY{o+ow}{in} \PY{n}{data}\PY{o}{.}\PY{n}{items}\PY{p}{(}\PY{p}{)}\PY{p}{:}
\PY{n}{df}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Name}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]} \PY{o}{=} \PY{n}{name}
\PY{n}{all\PYZus{}data} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{concat}\PY{p}{(}\PY{p}{[}\PY{n}{all\PYZus{}data}\PY{p}{,} \PY{n}{df}\PY{p}{]}\PY{p}{)}
\PY{n}{all\PYZus{}data}\PY{o}{.}\PY{n}{to\PYZus{}csv}\PY{p}{(}\PY{n}{f}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{data/unified\PYZus{}}\PY{l+s+si}{\PYZob{}tag\PYZcb{}}\PY{l+s+s2}{.csv}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}
\PY{k}{return} \PY{n}{all\PYZus{}data}
\PY{k}{if} \PY{n+nb}{len}\PY{p}{(}\PY{n}{flights}\PY{p}{)} \PY{o}{==} \PY{l+m+mi}{1}\PY{p}{:}
\PY{k}{return} \PY{n}{flight\PYZus{}data}
\PY{k}{else}\PY{p}{:}
\PY{k}{return} \PY{n}{data}
\end{Verbatim}
\textbf{Data preview}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}35}]:} \PY{n}{data} \PY{o}{=} \PY{n}{prepare\PYZus{}radar}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{all}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{n}{save}\PY{o}{=}\PY{k+kc}{True}\PY{p}{,} \PY{n}{unified}\PY{o}{=}\PY{k+kc}{True}\PY{p}{)}
\PY{n}{os}\PY{o}{.}\PY{n}{listdir}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{data/}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{:}\PY{p}{]}
\end{Verbatim}
\begin{Verbatim}[commandchars=\\\{\}]
erik1 finished.
erik2 finished.
erik3 finished.
klara2 finished.
anders1 finished.
\end{Verbatim}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{outcolor}Out[{\color{outcolor}35}]:} ['anders1\_180228.csv',
'erik1\_180228.csv',
'erik2\_180228.csv',
'unified\_180228.csv',
'unified\_180301.csv']
\end{Verbatim}
\subsection{Point cloud preparation}\label{point-cloud-preparation}
This function prepares three csv's (one for each type) and prepares them
to be easily read by point cloud software, such as CloudCompare. Color
is also given appropriately.
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor}36}]:} \PY{k}{def} \PY{n+nf}{export\PYZus{}points}\PY{p}{(}\PY{n}{tag}\PY{o}{=}\PY{n}{auto\PYZus{}tag}\PY{p}{)}\PY{p}{:}
\PY{n}{data} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{read\PYZus{}csv}\PY{p}{(}\PY{n}{f}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{data/unified\PYZus{}}\PY{l+s+si}{\PYZob{}tag\PYZcb{}}\PY{l+s+s2}{.csv}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{n}{index\PYZus{}col}\PY{o}{=}\PY{l+m+mi}{0}\PY{p}{)} \PY{c+c1}{\PYZsh{} Reads unified csv with specified tag}
\PY{c+c1}{\PYZsh{} Convert data names to integers (sorted alphabetically)}
\PY{n}{names} \PY{o}{=} \PY{n}{data}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Name}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{o}{.}\PY{n}{unique}\PY{p}{(}\PY{p}{)}\PY{o}{.}\PY{n}{tolist}\PY{p}{(}\PY{p}{)}
\PY{n}{names}\PY{o}{.}\PY{n}{sort}\PY{p}{(}\PY{p}{)}
\PY{n}{data}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Name}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]} \PY{o}{=} \PY{n}{data}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Name}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{o}{.}\PY{n}{apply}\PY{p}{(}\PY{k}{lambda} \PY{n}{x}\PY{p}{:} \PY{n}{names}\PY{o}{.}\PY{n}{index}\PY{p}{(}\PY{n}{x}\PY{p}{)}\PY{p}{)}
\PY{n}{colors} \PY{o}{=} \PY{p}{[}\PY{p}{(}\PY{l+m+mi}{190}\PY{p}{,} \PY{l+m+mi}{121}\PY{p}{,} \PY{l+m+mi}{74}\PY{p}{)}\PY{p}{,} \PY{p}{(}\PY{l+m+mi}{56}\PY{p}{,} \PY{l+m+mi}{57}\PY{p}{,} \PY{l+m+mi}{255}\PY{p}{)}\PY{p}{,} \PY{p}{(}\PY{l+m+mi}{248}\PY{p}{,} \PY{l+m+mi}{57}\PY{p}{,} \PY{l+m+mi}{4}\PY{p}{)}\PY{p}{]} \PY{c+c1}{\PYZsh{} Brown, blue and red for respective data type}
\PY{c+c1}{\PYZsh{} Create one file for each data type}
\PY{n}{data}\PY{o}{.}\PY{n}{drop}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Altitude}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{n}{axis}\PY{o}{=}\PY{l+m+mi}{1}\PY{p}{,} \PY{n}{inplace}\PY{o}{=}\PY{k+kc}{True}\PY{p}{)}
\PY{k}{for} \PY{n}{i}\PY{p}{,} \PY{n}{col} \PY{o+ow}{in} \PY{n+nb}{enumerate}\PY{p}{(}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{mark}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{glacier}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{fuffens}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{)}\PY{p}{:}
\PY{n}{csv} \PY{o}{=} \PY{n}{data}\PY{o}{.}\PY{n}{reset\PYZus{}index}\PY{p}{(}\PY{n}{drop}\PY{o}{=}\PY{k+kc}{True}\PY{p}{)}
\PY{c+c1}{\PYZsh{} Add color columns}
\PY{k}{for} \PY{n}{c\PYZus{}i}\PY{p}{,} \PY{n}{c} \PY{o+ow}{in} \PY{n+nb}{enumerate}\PY{p}{(}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{r}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{g}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{b}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{)}\PY{p}{:}
\PY{n}{csv}\PY{p}{[}\PY{n}{c}\PY{p}{]} \PY{o}{=} \PY{n}{colors}\PY{p}{[}\PY{n}{i}\PY{p}{]}\PY{p}{[}\PY{n}{c\PYZus{}i}\PY{p}{]}
\PY{c+c1}{\PYZsh{} Write csv with correctly ordered columns}
\PY{n}{csv} \PY{o}{=} \PY{n}{csv}\PY{p}{[}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Easting}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Northing}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{n}{col}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{r}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{g}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{b}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Name}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{]}\PY{o}{.}\PY{n}{dropna}\PY{p}{(}\PY{p}{)}
\PY{n}{csv}\PY{o}{.}\PY{n}{to\PYZus{}csv}\PY{p}{(}\PY{n}{f}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{export/clouds/radar\PYZus{}}\PY{l+s+si}{\PYZob{}col\PYZcb{}}\PY{l+s+s2}{\PYZus{}}\PY{l+s+si}{\PYZob{}tag\PYZcb{}}\PY{l+s+s2}{.csv}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{n}{index}\PY{o}{=}\PY{k+kc}{False}\PY{p}{)}
\PY{n}{export\PYZus{}points}\PY{p}{(}\PY{p}{)}
\end{Verbatim}
% Add a bibliography block to the postdoc
\end{document}