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Averaged Template Matching Equations

Hirani, Anil N. and Marsden, Jerrold E. and Arvo, James (2001) Averaged Template Matching Equations. In: Energy minimization methods in computer vision and pattern recognition. Lecture notes in computer science. No.2134. Springer , Berlin, pp. 528-543. ISBN 3-540-42523-3.

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By exploiting an analogy with averaging procedures in fluid dynamics, we present a set of averaged template matching equations. These equations are analogs of the exact template matching equations that retain all the geometric properties associated with the diffeomorphismgrou p, and which are expected to average out small scale features and so should, as in hydrodynamics, be more computationally efficient for resolving the larger scale features. Froma geometric point of view, the new equations may be viewed as coming from a change in norm that is used to measure the distance between images. The results in this paper represent first steps in a longer termpro gram: what is here is only for binary images and an algorithm for numerical computation is not yet operational. Some suggestions for further steps to develop the results given in this paper are suggested.

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Additional Information:© 2001 Springer. We would like to thank J. Tilak Ratnanather for bringing the TME to our attention in 1999 and keeping us informed of their work since then. We would also like to thank Steve Shkoller, Antonio Hernandez, Sergey Pekarsky and Banavara Shashikanth for helpful discussions. Comments from the mutual review group in Caltech Computer Science, especially the detailed suggestions from Min Chen were very useful in improving the organization of the paper.
Series Name:Lecture notes in computer science
Issue or Number:2134
Record Number:CaltechAUTHORS:20101007-085033743
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20329
Deposited By: Tony Diaz
Deposited On:19 Nov 2010 23:44
Last Modified:08 Nov 2021 23:58

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