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Book Chapter
A Hierarchical Framework for Spectral Correspondence
Book Series
Lecture Notes in Computer Science
Publisher
Springer Berlin / Heidelberg
ISSN
0302-9743 (Print) 1611-3349 (Online)
Volume
Volume 2350/2002
Book
Computer Vision — ECCV 2002
DOI
10.1007/3-540-47969-4
Copyright
2002
ISBN
978-3-540-43745-1
DOI
10.1007/3-540-47969-4_18
Pages
266-281
Subject Collection
Computer Science
SpringerLink Date
Tuesday, January 01, 2002
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A Hierarchical Framework for Spectral Correspondence
Marco Carcassoni
7
and Edwin R. Hancock
7
(7)
Department of Computer Science, University of York, York, YO1 5DD, UK
Abstract
The modal correspondence method of Shapiro and Brady aims to match point-sets by comparing the eigenvectors of a pairwise point proximity matrix. Although elegant by means of its matrix representation, the method is notoriously susceptible to differences in the relational structure of the point-sets under consideration. In this paper we demonstrate how the method can be rendered robust to structural differences by adopting a hierarchical approach. We place the modal matching problem in a probabilistic setting in which the correspondences between pairwise clusters can be used to constrain the individual point correspondences. To meet this goal we commence by describing an iterative method which can be applied to the point proximity matrix to identify the locations of pairwise modal clusters. Once we have assigned points to clusters, we compute within-cluster and between-cluster proximity matrices. The modal co-efficients for these two sets of proximity matrices are used to compute cluster correspondence and cluster-conditional point correspondence probabilities. A sensitivity study on synthetic point-sets reveals that the method is considerably more robust than the conventional method to clutter or point-set contamination.
Marco
Carcassoni
Email:
marco@cs.york.ac.uk
Edwin
R.
Hancock
Email:
erh@cs.york.ac.uk
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