2007 IEEE International Conference on Image Processing - San Antonio, Texas, U.S.A. - September 16-19, 2007

Technical Program

Paper Detail

Paper:TP-P4.12
Session:Image and Video Segmentation V
Time:Tuesday, September 18, 14:30 - 17:10
Presentation: Poster
Title: THE HOUGH TRANSFORM'S IMPLICIT BAYESIAN FOUNDATION
Authors: Neil Toronto; Brigham Young University 
 Bryan Morse; Brigham Young University 
 Dan Ventura; Brigham Young University 
 Kevin Seppi; Brigham Young University 
Abstract: This paper shows that the basic Hough transform is implicitly a Bayesian process---that it computes an unnormalized posterior distribution over the parameters of a single shape given feature points. The proof motivates a purely Bayesian approach to the problem of finding parameterized shapes in digital images. A proof-of-concept implementation that finds multiple shapes of four parameters is presented. Extensions to the basic model that are made more obvious by the presented reformulation are discussed.



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