2001 StructuralGraphMatchingUsingEMandSVD

• (Luo & Hancock, 2001) ⇒ Bin Luo, and Edwin R. Hancock. (2001). “Structural Graph Matching Using the EM Algorithm and Singular Value Decomposition.” In: IEEE Transactions on Pattern Analysis and Machine Intelligence, 23(10). doi:10.1109/34.954602

Subject Headings: Graph Matching Task, Graph Distance Function, EM Algorithm, Matrix Factorization, Mixture Model, Delaunay Triangulation, Singular Value Decomposition.

Notes

• It presents an algorithm for Inexact Graph Matching.
• It uses only Graph Structure information.
• It show how Point-Sets of different sizes can be matched using Singular Value Decomposition.
• It can handle Graph Structure Noise by using the EM Algorithm.
• It cast the problem into Matrix Operation and solves it using Singular Value Decomposition.
• It is a Journal Paper of a their Conference Paper at ICPR 2000.

Cited By

• ~226 http://scholar.google.com/scholar?q=%22Structural+Graph+Matching+Using+the+EM+Algorithm+and+Singular+Value+Decomposition%22+2001

Quotes

Abstract

This paper describes an efficient algorithm for inexact graph matching. The method is purely structural, that is, it uses only the edge or connectivity structure of the graph and does not draw on node or edge attributes. We make two contributions: 1) commencing from a probability distribution for matching errors, we show how the problem of graph matching can be posed as maximum-likelihood estimation using the apparatus of the EM algorithm; and 2) we cast the recovery of correspondence matches between the graph nodes in a matrix framework. This allows one to efficiently recover correspondence matches using the singular value decomposition. We experiment with the method on both real-world and synthetic data. Here, we demonstrate that the method offers comparable performance to more computationally demanding methods

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	Author	volume	Date Value	title	type	journal	titleUrl	doi	note	year
2001 StructuralGraphMatchingUsingEMandSVD	Bin Luo Edwin R. Hancock			Structural Graph Matching Using the EM Algorithm and Singular Value Decomposition		IEEE Transactions on Pattern Analysis and Machine Intelligence	http://www.aprs.org.au/accv2002/accv2002 proceedings/Luo75.pdf	10.1109/34.954602		2001