How does the hemispherical integration of radiance account for varying intensities of light coming from different parts of the environment?
colinsteidtmann
Maybe this is a silly question, but I've never worked with so much math in programming. How do we integrate and do derivatives in programming languages like C++, or do we even need to do them at all?
Edge7481
@colinsteidtmann There are numerical methods that can perform integrations like monte carlo integration that provide a good approximation by randomly choosing points to evaluate the integrand
agao25
Ren's lecture example of an ant looking up from a surface at all the "light" around is a really intuitive explanation for how we get from radiance to irradiance. I appreciate the clarification that we assume the surface is opaque and thus any light from under the surface/area would essentially not be captured. We need to integrate because the light above the surface won't necessarily be a uniform distribution, and so we need to use integration and sum up all the differentials of light.
keeratsingh2002
@sritejavij
Hemispherical integration of radiance sums up the light coming from every direction over a hemisphere, with each direction’s contribution adjusted for angle and distance. This gives a measure of total illumination from the environment and captures the variations in light intensity and distribution.
How does the hemispherical integration of radiance account for varying intensities of light coming from different parts of the environment?
Maybe this is a silly question, but I've never worked with so much math in programming. How do we integrate and do derivatives in programming languages like C++, or do we even need to do them at all?
@colinsteidtmann There are numerical methods that can perform integrations like monte carlo integration that provide a good approximation by randomly choosing points to evaluate the integrand
Ren's lecture example of an ant looking up from a surface at all the "light" around is a really intuitive explanation for how we get from radiance to irradiance. I appreciate the clarification that we assume the surface is opaque and thus any light from under the surface/area would essentially not be captured. We need to integrate because the light above the surface won't necessarily be a uniform distribution, and so we need to use integration and sum up all the differentials of light.
@sritejavij Hemispherical integration of radiance sums up the light coming from every direction over a hemisphere, with each direction’s contribution adjusted for angle and distance. This gives a measure of total illumination from the environment and captures the variations in light intensity and distribution.