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homework 1 - Introduction to Computer Vision Name CSE 152...

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Unformatted text preview: Introduction to Computer Vision Name : CSE 152, Spring 2011 Student ID : David Kriegman E-Mail : Assignment #1 (Due date: 04/21/2011) Instructions • Attempt all questions • Please comment all your Matlab code adequately • Turn in a hard copy in class including your answer to paper-and-pencil questions as well as the printout of your code and results for programming questions. • In addition, please email to [email protected] a copy of your code. If it is a single file, just send the .m file. If it is contained in multiple files, send a zip or tar file. In the subject line, please put the string: “CSE152 Assignment 1”. Questions 1. [15 points] Consider a line in the 2D plane, whose equation is given by ax + by + c = 0 . This can equivalently be written as l T x = 0 , where l = (a, b, c) T and x = (x, y, 1) T . Noticing that x is a homogeneous representation of (x, y) T , we can view l as a homogeneous representation of the line ax + by + c = 0 . We see that the line is also defined up to a scale since (a, b, c) T and k(a, b, c) T with k ≠ represents the same line. All points (x, y) that lie on the line ax + by + c = 0 satisfy the equation l T x = 0. We note this down as a fact: Fact 1: A point x in homogeneous coordinates lies on the homogeneous line...
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homework 1 - Introduction to Computer Vision Name CSE 152...

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