hwp3_04

# hwp3_04 - Massachusetts Institute of Technology Department...

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Massachusetts Institute of Technology Department of Computer Science and Electrical Engineering 6.801/6.866 Machine Vision Handed out: 2004 Oct. 7th Due on: 2004 Oct. 14th Problem 1: Do Problem 11-5 in Robot Vision (Shape from shading ambiguity). Problem 2: Do Problem 11-7 in Robot Vision (Importance of singular point). Problem 3: Do Problem 11-16 a–c in Robot Vision (Recovering source direction). Problem 4: (Unknown normals and sources) Let’s try and use photometric stereo methods to recover surface orientation and light source direction from multiple images. Suppose we have N planar surface facets with unit normals ˆ n i , and M light source directions given by the unit vectors s ˆ j . Deﬁne n i = ρ i ˆ n i and s j = I j s ˆ j , where ρ i is the albedo of the i -th facet and I j is the intensity of the j -th source. The brightness recorded in the j -th image of the i -th facet then can be written E ij = n j · s j With N facets and M light source directions we can gather NM brightness

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## This note was uploaded on 10/06/2009 for the course ECE Vision taught by Professor Bertholdhorn during the Spring '04 term at MIT.

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hwp3_04 - Massachusetts Institute of Technology Department...

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