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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




Rearrange:




Expand using von-Neumann series


Gathering


Product



Shooting
Idea: Only transport distribute energy from patches with high radiosity. Evaluate one colum of

Store a tuple





Repeat:
- Pick patch
with highest unshot radiosity
- Update all other patches
:
-


More efficient than Gathering but still


Karteninfo:
Autor: janisborn
Oberthema: Informatik
Thema: Computergrafik
Schule / Uni: RWTH Aachen
Ort: Aachen
Veröffentlicht: 18.05.2022