Omni 3D project
300R: Mathematics of 3D image synthesis
Office: SciCtr 434
This supervised reading and research course of Summer 2007 explored mathematical tools for extracting information about a scene from a sequence of pictures. These inverse problems involve different mathematical areas like projective geometry and algorithms from statistical optimization, linear algebra, dynamic programming and image processing. This research was done with Jose Luis Ramirez-Herran. We focussed primarily on the structure from motion problem in computer vison, which is the inverse problem to reconstruct camera and object from image data. Here are three papers, we wrote: For viewing online abstracts, see the papers page.

This reading and research course Maths300R was sponsored by the Harvard summer school in the Summer of 2007.

Update of November 25, 2008: the result on Ullman's theorem has been obtained earlier: by Huang, T. S. and Lee, C. H. 1989. Motion and Structure from Orthographic Projections. IEEE Trans. Pattern Anal. Mach. Intell. 11, 5 (May. 1989), 536-540. .

Questions and comments to
Oliver Knill | Department of Mathematics | Harvard Summer School | Harvard University
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