Ray intersection sometimes ends up behind shape surface with inaccuracy larger than shadow epsilon #171

leroyvn · 2020-06-08T17:29:46Z

Ray intersection is sometimes behind surface with inaccuracy larger than shadow epsilon. This may result in wrong occlusion.

System configuration

Platform: macOS 10.15.4
Compiler: Apple clang version 11.0.0 (clang-1100.0.33.17)
Python version: Python 3.7.6 :: Anaconda, Inc.
Mitsuba 2 version: leroyvn/mitsuba2@ed00d49 [branched off abf6938]
Compiled variants:

scalar_mono
scalar_mono_double

Problem

I sometimes get intersections located at the wrong side of the associated surface. While it's usually not an issue, the error in positioning can become larger that ShadowEpsilon if scene dimensions become too large. At this point, this become problematic, as the surface will occlude while is actually should not. I tried with the rectangle and sphere shape plugins.

Note that I encountered this issue only with the distant sensor plugin (see #143). I suspect that this is due to the fact that the ray origin moves further away from the scene as its size increases, which increases the tolerance on positioning.

Any idea about what can be done to ensure that the intersection point will end up at the correct side of the surface? (Or at least closer than ShadowEpsilon?)

Steps to reproduce

Compile Mitsuba with the aforementioned variants.
Run the following script (problematic configurations will be reported with a '⚠️'):

from itertools import product
import numpy as np
import mitsuba


def scene_dict(scene_size=1., shape="rectangle"):
    from mitsuba.core import ScalarTransform4f, ScalarVector3f

    if shape == "rectangle":
        to_world = ScalarTransform4f.scale(
            ScalarVector3f(scene_size, scene_size, 1.)
        )
    elif shape == "sphere":
        to_world = ScalarTransform4f(
            [[scene_size, 0, 0, 0],
             [0, scene_size, 0, 0],
             [0, 0, scene_size, -scene_size],
             [0, 0, 0, 1]]
        )
    else:
        raise ValueError(f"unsupported shape {shape}")

    return {
        "type": "scene",
        "surface": {
            "type": shape,
            "to_world": to_world,
            "bsdf": {
                "type": "diffuse",
                "reflectance": {"type": "uniform", "value": 0.5}
            }
        },
        "illumination": {
            "type": "directional",
            "direction": [0, 0, -1],
            "irradiance": {"type": "uniform", "value": 1.0}
        },
        "integrator": {"type": "volpath"},
        "measure": {
            "type": "distant",
            "direction": [-1, 0, -1],
            "target": [0, 0, 0],
            "sampler": {"type": "independent", "sample_count": 1},
            "film": {
                "type": "hdrfilm",
                "width": 1,
                "height": 1,
                "pixel_format": "luminance",
                "component_format": "float32",
                "rfilter": {"type": "box"}
            }
        }
    }


for shape, variant in product(["rectangle", "sphere"],
                              ["scalar_mono", "scalar_mono_double"]):
    mitsuba.set_variant(variant)

    from mitsuba.core.xml import load_dict
    from mitsuba.core.math import ShadowEpsilon

    from mitsuba.core import Thread
    Thread.thread().logger().clear_appenders()

    print(f"{shape}, {variant} (ShadowEpsilon = {ShadowEpsilon:.4g})")

    for scene_size in [10**i for i in range(8)]:
        print(f"  scene_size = {scene_size:.4g}")

        scene = load_dict(scene_dict(scene_size))
        sensor = scene.sensors()[0]
        sampler = sensor.sampler()

        # Cast a ray from the sensor
        ray, _ = sensor.sample_ray_differential(
            sampler.next_1d(),
            sampler.next_1d(),
            sampler.next_2d(),
            sampler.next_2d()
        )
        si = scene.ray_intersect(ray)
        print(f"    si.p.z        = {si.p.z:.4g}")
        print(f"    relative      = {si.p.z / ShadowEpsilon:.4g}")

        # Sample illumination from surface interaction point
        ds, emitter_val = scene.sample_emitter_direction(si, sampler.next_2d())
        emitter_val = np.squeeze(emitter_val)
        icon = "⚠️" if emitter_val == 0. else " "
        print(f"  {icon} emitter_val   = {emitter_val}")
        print()

The text was updated successfully, but these errors were encountered:

Speierers · 2021-06-09T11:09:08Z

Hi @leroyvn,

I couldn't reproduce this bug on my end, could you try again with the latest distant sensor to see if it works on your side?

leroyvn · 2021-06-09T13:32:13Z

Thanks for looking into it :) I rebased my distant branch onto the latest master, ran the script and got the following output:

rectangle, scalar_mono (ShadowEpsilon = 0.0008941)
  scene_size = 1
    si.p.z        = -1.798e-07
    relative      = -0.0002011
    emitter_val   = 1.0

  scene_size = 10
    si.p.z        = -5.067e-07
    relative      = -0.0005668
    emitter_val   = 1.0

  scene_size = 100
    si.p.z        = 2.371e-06
    relative      = 0.002651
    emitter_val   = 1.0

  scene_size = 1000
    si.p.z        = -5.521e-05
    relative      = -0.06175
    emitter_val   = 1.0

  scene_size = 1e+04
    si.p.z        = -0.0007543
    relative      = -0.8437
  ⚠️ emitter_val   = 0.0

  scene_size = 1e+05
    si.p.z        = 0.002558
    relative      = 2.861
    emitter_val   = 1.0

  scene_size = 1e+06
    si.p.z        = 0.02558
    relative      = 28.61
    emitter_val   = 1.0

  scene_size = 1e+07
    si.p.z        = -1.658
    relative      = -1855
  ⚠️ emitter_val   = 0.0

rectangle, scalar_mono_double (ShadowEpsilon = 1.665e-12)
  scene_size = 1
    si.p.z        = -4.948e-17
    relative      = -2.971e-05
    emitter_val   = 1.0

  scene_size = 10
    si.p.z        = 2.553e-17
    relative      = 1.533e-05
    emitter_val   = 1.0

  scene_size = 100
    si.p.z        = -1.101e-14
    relative      = -0.006613
    emitter_val   = 1.0

  scene_size = 1000
    si.p.z        = 9.37e-14
    relative      = 0.05627
    emitter_val   = 1.0

  scene_size = 1e+04
    si.p.z        = 8.59e-13
    relative      = 0.5158
    emitter_val   = 1.0

  scene_size = 1e+05
    si.p.z        = -6.844e-12
    relative      = -4.11
  ⚠️ emitter_val   = 0.0

  scene_size = 1e+06
    si.p.z        = -3.435e-11
    relative      = -20.62
  ⚠️ emitter_val   = 0.0

  scene_size = 1e+07
    si.p.z        = 1.246e-09
    relative      = 748.4
    emitter_val   = 1.0

sphere, scalar_mono (ShadowEpsilon = 0.0008941)
  scene_size = 1
    si.p.z        = -1.798e-07
    relative      = -0.0002011
    emitter_val   = 1.0

  scene_size = 10
    si.p.z        = -5.067e-07
    relative      = -0.0005668
    emitter_val   = 1.0

  scene_size = 100
    si.p.z        = 2.371e-06
    relative      = 0.002651
    emitter_val   = 1.0

  scene_size = 1000
    si.p.z        = -5.521e-05
    relative      = -0.06175
    emitter_val   = 1.0

  scene_size = 1e+04
    si.p.z        = -0.0007543
    relative      = -0.8437
  ⚠️ emitter_val   = 0.0

  scene_size = 1e+05
    si.p.z        = 0.002558
    relative      = 2.861
    emitter_val   = 1.0

  scene_size = 1e+06
    si.p.z        = 0.02558
    relative      = 28.61
    emitter_val   = 1.0

  scene_size = 1e+07
    si.p.z        = -1.658
    relative      = -1855
  ⚠️ emitter_val   = 0.0

sphere, scalar_mono_double (ShadowEpsilon = 1.665e-12)
  scene_size = 1
    si.p.z        = -4.948e-17
    relative      = -2.971e-05
    emitter_val   = 1.0

  scene_size = 10
    si.p.z        = 2.553e-17
    relative      = 1.533e-05
    emitter_val   = 1.0

  scene_size = 100
    si.p.z        = -1.101e-14
    relative      = -0.006613
    emitter_val   = 1.0

  scene_size = 1000
    si.p.z        = 9.37e-14
    relative      = 0.05627
    emitter_val   = 1.0

  scene_size = 1e+04
    si.p.z        = 8.59e-13
    relative      = 0.5158
    emitter_val   = 1.0

  scene_size = 1e+05
    si.p.z        = -6.844e-12
    relative      = -4.11
  ⚠️ emitter_val   = 0.0

  scene_size = 1e+06
    si.p.z        = -3.435e-11
    relative      = -20.62
  ⚠️ emitter_val   = 0.0

  scene_size = 1e+07
    si.p.z        = 1.246e-09
    relative      = 748.4
    emitter_val   = 1.0

System information

Platform: macOS 11.4
Compiler: Apple clang version 12.0.5 (clang-1205.0.22.9)
Python version: Python 3.8.8 :: Anaconda, Inc.
Mitsuba 2 version: leroyvn/mitsuba2@c9282a0 [branched off 2cd84c8]
Compiled variants:

scalar_mono
scalar_mono_double

Speierers · 2021-06-09T13:38:44Z

Interesting, I have only tested this on a Linux machine. This is running with Embree I suppose?

leroyvn · 2021-06-09T13:43:06Z

AFAIK I'm running with the kd-tree (I set MTS_ENABLE_EMBREE to OFF).

Speierers · 2021-06-10T06:17:14Z

Same here actually. Would it be possible for you to try on a Linux machine?

leroyvn · 2021-06-11T08:59:08Z

I got exactly the same results on a WSL (Ubuntu 20.04). I'll attach my CMake cache file just in case.

CMakeCache.txt

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# If you do not want to change any of the values, simply exit the editor.
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//Value Computed by CMake
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//Value Computed by CMake
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//Value Computed by CMake
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//Value Computed by CMake
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//Dependencies for the target
orthogonal_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;

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//Dependencies for the target
radiancemeter_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;

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//Value Computed by CMake
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//Value Computed by CMake
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//Dependencies for the target
roughconductor_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;

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sphere_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;

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spot_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;

//Dependencies for the target
srgb_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;

//Dependencies for the target
srgb_d65_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;

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stokes_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;

//Dependencies for the target
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//Value Computed by CMake
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//Dependencies for the target
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//Value Computed by CMake
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//Dependencies for the target
tent_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;

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thindielectric_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;

//Dependencies for the target
thinlens_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;

//Dependencies for the target
twosided_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;

//Dependencies for the target
uniform_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;

//Dependencies for the target
volpath_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;

//Dependencies for the target
volpathmis_LIB_DEPENDS:STATIC=general;mitsuba-core;general;mitsuba-render;general;tbb;


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leroyvn mentioned this issue Apr 27, 2021

Distant sensor plugin #143

Open

Speierers self-assigned this Jun 8, 2021

wint3ria mentioned this issue Feb 15, 2022

Invalid Eradiate results on a white Lambertian surface eradiate/eradiate#173

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Speierers removed their assignment Aug 15, 2022

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Ray intersection sometimes ends up behind shape surface with inaccuracy larger than shadow epsilon #171

Ray intersection sometimes ends up behind shape surface with inaccuracy larger than shadow epsilon #171

leroyvn commented Jun 8, 2020 •

edited

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Speierers commented Jun 9, 2021

leroyvn commented Jun 9, 2021 •

edited

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Speierers commented Jun 9, 2021

leroyvn commented Jun 9, 2021

Speierers commented Jun 10, 2021

leroyvn commented Jun 11, 2021

Ray intersection sometimes ends up behind shape surface with inaccuracy larger than shadow epsilon #171

Ray intersection sometimes ends up behind shape surface with inaccuracy larger than shadow epsilon #171

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leroyvn commented Jun 8, 2020 • edited Loading

System configuration

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Speierers commented Jun 9, 2021

leroyvn commented Jun 9, 2021 • edited Loading

System information

Speierers commented Jun 9, 2021

leroyvn commented Jun 9, 2021

Speierers commented Jun 10, 2021

leroyvn commented Jun 11, 2021

leroyvn commented Jun 8, 2020 •

edited

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leroyvn commented Jun 9, 2021 •

edited

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