Title
An affine invariant discriminate analysis with canonical correlation analysis.
Abstract
Canonical correlation analysis (CCA) is invariant with regard to affine transformation, but it cannot be directly applied to affine invariant pattern recognition. The reason mainly lies in that many existing CCA-based schemes represent the pattern by matrix-to-vector method, as a result, the structure and spatial information of the original pattern is discarded. In this paper, an affine invariant discriminate analysis (AIDA) method is developed for pattern recognition. Dislike the matrix-to-vector representation, an object is first converted to a projection matrix by central projection transform (CPT). After a point matching process, CCA is performed to projection matrices of the object and the model, and two vectors will be derived. Therefore, the object is classified to a model by the smallest distance between the obtained vectors. Comparisons of experimental results are given with respect to some existing methods, which demonstrate the effectiveness of the proposed AIDA method.
Year
DOI
Venue
2012
10.1016/j.neucom.2012.01.026
Neurocomputing
Keywords
Field
DocType
Affine invariant discriminate analysis (AIDA),Canonical correlation analysis (CCA),Central projection transform (CPT),Affine transformation
Affine transformation,Affine shape adaptation,Harris affine region detector,Pattern recognition,Affine combination,Affine coordinate system,Artificial intelligence,Affine group,Affine hull,Mathematics,Affine geometry of curves
Journal
Volume
Issue
ISSN
86
null
0925-2312
Citations 
PageRank 
References 
1
0.35
13
Authors
5
Name
Order
Citations
PageRank
Rushi Lan110015.72
Jianwei Yang25812.73
Yong Jiang310.35
Zhan Song410.35
Yuan Yan Tang52662209.20