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Unformatted text preview: ECE 181b Homework 4 Two View Geometry April 27, 2006 In this homework you will explore the geometry of two views (focusing on the epipolar constraint and the fundamental matrix) using the tools of projective geometry. Henceforth we will adopt the following conventions (READ CAREFULLY): • Boldface letters indicate points or vectors. • For vectors/points in P 3 we use capital letters, Sans font (e.g. X ), for vectors/points in P 2 we use lower case letters, Sans font (e.g. x ). • For vectors/points in R 3 we use capital letters, normal font (e.g. X ), for vectors/points in R 2 we use lower case letters, normal font (e.g. x ). • All the quantities related to the second camera are identified using the superscript prime ( ). • We will assume that the world coordinate system coincides with the coordinate system of the first camera. • For sake of convenience we will adopt the coordinate system convention described at http://vision.ece.ucsb.edu/ ~ zuliani/Code/lattice.png . Caveat. To receive full credit your answers must be clearly justified. Make sure to include the relevant steps that were required to obtain the numerical answer.the relevant steps that were required to obtain the numerical answer....
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This note was uploaded on 12/29/2011 for the course ECE 181b taught by Professor Staff during the Fall '08 term at UCSB.
- Fall '08