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73
Write the Radiosity Equation as a linear system and explain two ways to evaluate it! Which approach is better?
Linear Radiosity System
where
are radiosity values
is emitted radiosity
is a diagonal matrix of reflectance values
is the form factor matrix
Rearrange:
Expand using von-Neumann series
Gathering
Product
requires row-wise evaluation of all form factors in 
(
complexity)
Shooting
Idea: Only transport distribute energy from patches with high radiosity. Evaluate one colum of at a time.
Store a tuple
for each patch:
: accumulated radiosity on patch 
: unshot radiosity on patch
Repeat:
More efficient than Gathering but still complexity.
where
are radiosity values is emitted radiosity is a diagonal matrix of reflectance values is the form factor matrixRearrange:
Expand using von-Neumann series
Gathering
Product
requires row-wise evaluation of all form factors in ( complexity)Shooting
Idea: Only transport distribute energy from patches with high radiosity. Evaluate one colum of
at a time.Store a tuple
for each patch:: accumulated radiosity on patch : unshot radiosity on patch Repeat:
- Pick patch
with highest unshot radiosity 
- Update all other patches
: -
More efficient than Gathering but still
complexity.
Flashcard info:
Author: janisborn
Main topic: Informatik
Topic: Computergrafik
School / Univ.: RWTH Aachen
City: Aachen
Published: 18.05.2022