Unformatted text preview: , ymax } =
. .05 . .05 0. .05 0. .05
and !
and
and
{{xmin , ymin , xmax , ymax }= {{ 0045, , 0005, , 0055, , 005}}
xmin , ymin , xmax , ymax } =
. .45 . .05 . .55 0. .05 .. 26 / / 29
26 29 Solution
Solution "
For the top face cos
face)
Thus i = cos cos i j cos
⇡r2 Case 1: r = 1 so form factor is
Case 2, r = p = 1
r j A 0.01
⇡ 1.25, form factor is Graphics Lecture 13: Slide 31! (because z = 1 on the top A
=4
⇡r = 0.00318 0.01
1.56⇡ = 0.002 Projection of patches onto the hemicube Projection of patches onto the hemicube " • We now need to know which patch
is to know which patch is
We now needvisible from each hemicube pixel. ! visible from each hemicube pixel. • This could be done by ray tracing
(casting), or projection. ! This could be done by ray tracing
(casting), or projection. • Ray tracing neatly solves the
occlusion problem. ! Ray tracing neatly solves the occlusion
problem. • Projection would require zbuffering.!
Projection would require zbu↵ering. Graphics Lecture 13: Slide 32!
. 26 / 29 Projection of patches onto the hemicube Sum the pixels per patch" • Notice that all we need to determine
is to know which patch at
We now needthe nearest visiblepatch is each
hemicube pixel. ! visible from each hemicube pixel. • Once this is found we calculate the
This could fbe done by ray tracing by
orm factor for each patch...
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 Spring '14
 Energy, Light, form factor, Rendering

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