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test_fig3_shadows.py
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test_fig3_shadows.py
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import numpy as np
import os
import mitsuba
import enoki as ek
mts_variant = 'rgb'
mitsuba.set_variant('gpu_autodiff_' + mts_variant)
from mitsuba.core import Transform4f, Bitmap
from mitsuba.core.xml import load_string
from mitsuba.python.util import traverse
from utils import test_finite_difference
test_name = "test_fig3_shadows"
def make_scene(integrator, spp, translateX, rotateZ, scale):
return load_string("""
<?xml version="1.0"?>
<scene version="2.0.0">
{integrator}
<sensor type="perspective">
<string name="fov_axis" value="smaller"/>
<float name="near_clip" value="0.1"/>
<float name="far_clip" value="2800"/>
<float name="focus_distance" value="10"/>
<transform name="to_world">
<lookat origin="0, 0, 10" target="0, 0, 0" up="0, 1, 0"/>
</transform>
<float name="fov" value="25.00"/>
<sampler type="independent">
<integer name="sample_count" value="{spp}"/>
</sampler>
<film type="hdrfilm">
<integer name="width" value="128"/>
<integer name="height" value="128"/>
<rfilter type="box"/>
</film>
</sensor>
<shape type="obj">
<transform name="to_world">
<rotate x="1" angle="180"/>
<translate x="0" y="-5" z="150"/>
</transform>
<string name="filename" value="data/meshes/xy_plane.obj"/>
<emitter type="smootharea" id="smooth_area_light">
<spectrum name="radiance" value="8000"/>
</emitter>
</shape>
<shape type="obj" id="object">
<string name="filename" value="data/meshes/smooth_empty_cube.obj"/>
<transform name="to_world">
<scale value="2.5"/>
<rotate x="0.0" y="0.0" z="1.0" angle="0"/>
<translate x="0.0" y="0.0" z="12.0"/>
<rotate x="0.0" y="0.0" z="1.0" angle="{rotateZ}"/>
<translate x="{translateX}" y="0.0" z="0.0"/>
<scale value="{scale}"/>
</transform>
<bsdf type="diffuse">
<spectrum name="reflectance" value="0.0"/>
</bsdf>
</shape>
<shape type="obj" id="planemesh">
<string name="filename" value="data/meshes/xy_plane.obj"/>
<bsdf type="diffuse">
<texture type="checkerboard" name="reflectance">
<transform name="to_uv">
<scale value="5.0"/>
</transform>
<spectrum name="color0" value="0.6"/>
<spectrum name="color1" value="0.2"/>
</texture>
</bsdf>
<transform name="to_world">
<scale value="8.0"/>
<translate x="0.0" y="0.0" z="0.0"/>
<rotate x="1.0" y="0.0" z="0.0" angle="-60"/>
</transform>
</shape>
</scene>
""".format(integrator=integrator, spp=spp,
translateX=translateX, rotateZ=rotateZ, scale=scale))
# Rotation (Z axis)
def make_scene_rotation(integrator, spp, param):
return make_scene(integrator, spp, 0, param, 1)
def get_diff_param_rotation(scene):
# Create a differentiable hyperparameter
diff_param = mitsuba.core.Float(0.0);
ek.set_requires_gradient(diff_param);
# Update vertices so that they depend on diff_param
properties = traverse(scene)
t = mitsuba.core.Transform4f.rotate(mitsuba.core.Vector3f(0.0,0.0,1.0), diff_param)
vertex_positions = properties['object.vertex_positions']
vertex_positions_t = t.transform_point(vertex_positions)
properties['object.vertex_positions'] = vertex_positions_t
# Update the scene
properties.update()
return diff_param
# Translation (X axis)
def make_scene_translation(integrator, spp, param):
return make_scene(integrator, spp, param, 0, 1)
def get_diff_param_translation(scene):
# Create a differentiable hyperparameter
diff_param = mitsuba.core.Float(0.0);
ek.set_requires_gradient(diff_param);
# Update vertices so that they depend on diff_param
properties = traverse(scene)
t = mitsuba.core.Transform4f.translate(mitsuba.core.Vector3f(1.0,0.0,0.0) * diff_param)
vertex_positions = properties['object.vertex_positions']
vertex_positions_t = t.transform_point(vertex_positions)
properties['object.vertex_positions'] = vertex_positions_t
# Update the scene
properties.update()
return diff_param
# Scale
def make_scene_scale(integrator, spp, param):
return make_scene(integrator, spp, 0, 0, param+1)
def get_diff_param_scale(scene):
# Create a differentiable hyperparameter
diff_param = mitsuba.core.Float(1.0);
ek.set_requires_gradient(diff_param);
# Update vertices so that they depend on diff_param
properties = traverse(scene)
vertex_positions = properties['object.vertex_positions']
vertex_positions_t = vertex_positions * diff_param
properties['object.vertex_positions'] = vertex_positions_t
# Update the scene
properties.update()
return diff_param
fd_spp = 256
fd_passes = 10
fd_integrator = """<integrator type="path">
<integer name="max_depth" value="2"/>
</integrator>"""
diff_spp = 16
diff_passes = 10
diff_integrator = """<integrator type="pathreparam">
<integer name="max_depth" value="2"/>
</integrator>"""
test_finite_difference(test_name + "/rotation", make_scene_rotation, get_diff_param_rotation,
diff_integrator, diff_spp, diff_passes,
fd_integrator, fd_spp, fd_passes, 0.03)
test_finite_difference(test_name + "/translation", make_scene_translation, get_diff_param_translation,
diff_integrator, diff_spp, diff_passes,
fd_integrator, fd_spp, fd_passes, 0.001)
test_finite_difference(test_name + "/scale", make_scene_scale, get_diff_param_scale,
diff_integrator, diff_spp, diff_passes,
fd_integrator, fd_spp, fd_passes, 0.005)