Lecture 13 - Radiosity I

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Unformatted text preview: B C B . C B .. C R.3 F32 1 . .. R.3 F3nA B . C = B . C BCBC @ B .3 31 C@ A @ A . . @ AB C B C @[email protected] Rn.Fn1 Rn.Fn2 Rn.Fn3 .. .. 1. En Bn Rn Fn1 Rn Fn2 Rn Fn3 . . 1 En Bn Graphics Lecture 13: Slide 13! . 9 / 29 . In matrix form In matrix form " 0 1 R2 F21 R3 F31 . Rn Fn1 B B B B @ R1 F12 1 R3 F32 . Rn Fn2 R1 F13 R2 F23 1 . Rn Fn3 . . . . . . . . . . 1 0B 1 0E 1 1 1 R 1 F1 n BCBC R2 F2n C B B2 C B E2 C CB . C B . C R 3 F3 n C B . C = B . C CB . C B . C A@ A @ A . 1 Bn En If •  If can solve solve this for Bi thenBwehen we able be renderto we we can this for every every i t will be will to able eachrender with a patch with amodel. light model. ! patch each correct light correct •  However, this is not so easy to do since ! However, this is factors need to be found! –  the form not so easy to do since I –  form reﬂectance equation is insolvable! thethe full factors need to be found. I –  full reﬂectance minimum 10000 by 10000 ! thethe matrix is big - equation is insoluble I the matrix is big - minimum 10000 by 10000 Graphics Lecture 13: Slide 14! . 10 / 29 Wavelengths" •  The radiosity values are wavelength dependent, hence we will need to compute a radiosity value for R, G and B.! •  Each patch will require a separate set of parameters for R, G and B. ! •  The three radiosity values are the values that the rendered pixels will receive. ! ! Graphics Lecture 13: Slide 15! Back to the reﬂectance function Back to the reﬂectance function " I!ref lected = ka Iincident + kd (n · l) Iincident + ks (r · v)q Iincident ! Note that the specular term depends on the relative positions of theNote that the specular term depends on the relative viewpoint and each light source v. positions of the viewpoint and each light source v. ! But now, every patch is a light source! ! But now, every patch is a light source! ! Graphics Lecture 13: Slide 16! . 12 / 29 Specular reﬂections " •  Moreover our light sources are no longer points,...
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## This document was uploaded on 03/26/2014.

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