__Claremont Graduate University__ | __Claremont McKenna__ | __Harvey Mudd__ | __Pitzer__ | __Pomona__ | __Scripps__

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When

Start: 10/13/2010 - 4:15pm

End : 10/13/2010 - 5:15pm

End : 10/13/2010 - 5:15pm

Category

Colloquium

Speaker

Emek Kose Can Loyola Marymount University

Abstract

Imaging devices that combine cameras and mirrors are called catadioptric sensors. The

main problem of catadioptric sensor design is to find a mirror surface such that the sensor

realizes a certain projection, which generally does not have a solution. In this talk, I will

present my work on overcoming the limitations of single-mirror catadioptric sensors by de-

signing the camera projection as well as the mirror surface. This novel construction allows

one to exactly achieve any desired projection, not only orthographic or perspective. The

key in finding the mirror surface and the camera projection is constructing a vector field

normal to the sought-after mirror surface. The integrability of the normal vector field is

provided by the Frobenius Integration Theorem for differential forms, which yields a system

of quasilinear PDEs. The camera projection is obtained by numerical solution of this system

and the mirror surface is computed by numerical integration of the vector field. I present

my results for different system designs.

Where

Millikan 134, Pomona College

Misc. Information

Refreshments served at 3:45 p.m.

Harry Mullikin Room, Millikan 209

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The dinner will be hosted by Prof. Stephan Garcia

If interested in attending, email stephan.garcia@pomona.edu