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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.
Index Terms- Statistical method
feature point extraction
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.
Copyright © 2004 IEEE. All rights reserved.
Pattern Analysis and Machine Intelligence