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ID 30017
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Abstract

We first investigate the meaning of "statistical methods" for geometric inference based on image feature points. Tracing back the origin of feature uncertainty to image processing operations, we discuss the implications of asymptotic analysis in reference to "geometric fitting" and "geometric model selection" and point out that a correspondence exists between the standard statistical analysis and the geometric inference problem. Then, we derive the "geometric AIC" and the "geometric MDL" as counterparts of Akaike's AIC and Rissanen's MDL. We show by experiments that the two criteria have contrasting characteristics in detecting degeneracy.

Keywords
65
Index Terms- Statistical method
asymptotic evaluation
feature point extraction
geometric AIC
geometric
MDL.
Note
Digital Object Identifier: 10.1109/TPAMI.2004.93
Published with permission from the copyright holder.this is the institute's copy, as published in Pattern Analysis and Machine Intelligence, IEEE Transactions on, Oct. 2004, Volume: 26, Issue: 10, Pages 1307-1319.
Publisher URL:http://dx.doi.org/10.1109/TPAMI.2004.93
Copyright © 2004 IEEE. All rights reserved.
Published Date
2004-10
Publication Title
Pattern Analysis and Machine Intelligence
Start Page
1307
End Page
1319
Content Type
Journal Article
language
English
Refereed
True
DOI
Submission Path
industrial_engineering/111