The Independence of the Affine Moment Invariants

2006 ◽  
Author(s):  
Tomáš Suk ◽  
Jan Flusser
Keyword(s):  
Moment Invariants ◽  
Affine Moment Invariants

An automatic method for generating affine moment invariants

2007 ◽  
Vol 28 (16) ◽  
pp. 2295-2304 ◽  
Author(s):  
Jin Liu ◽  
Deren Li ◽  
Wenbing Tao ◽  
Li Yan
Keyword(s):  
Moment Invariants ◽  
Automatic Method ◽  
Affine Moment Invariants

The Complete Set of Independent Affine Moment Invariants of Color Images

2019 ◽  
Vol 33 (05) ◽  
pp. 1954018
Author(s):  
YuanBin Wang ◽  
XingWei Wang
Keyword(s):  
Independent Set ◽  
Color Images ◽  
Moving Frame ◽  
Moment Invariants ◽  
Open Problems ◽  
Complete Set ◽  
Moving Frame Method ◽  
Frame Method ◽  
Affine Moment Invariants ◽  
Color Moment

Moment invariants of images are important features for pattern recognition and image processing. Many methods have been proposed to derive moment invariants of images under different group actions. However, the completeness and independence of a set of moment invariants are two open problems. In this paper, we use the moving frame method to derive affine moment invariants of color images. The moving frame for the normalized color moment space under the action of the affine group is presented. Using this moving frame, we obtain a complete and independent set of affine moment invariants of color images. This system of affine moment invariants is also invariant under diagonal photometric changes. Experimental results are provided to validate the correctness of the derivation.

Reference Points Recognition in Fabric Drape Measurement Using Affine Moment Invariants and Kernel Fisher Linear Discriminant

2011 ◽  
Vol 66-68 ◽  
pp. 1539-1544
Author(s):  
Hao Liu ◽  
Yu Xiu Wang ◽  
Xiao Jiu Li ◽  
Guan Xiong Qiu
Keyword(s):  
Discriminant Analysis ◽  
Reference Points ◽  
Experimental Result ◽  
Moment Invariants ◽  
Fisher Discriminant Analysis ◽  
Fisher Discriminant ◽  
Kernel Fisher Discriminant Analysis ◽  
Fabric Drape ◽  
Fabric Surface ◽  
Affine Moment Invariants

In this paper, Kernel Fisher discriminant analysis and affine moment invariants are presented for recognizing the reference points on fabric surface. The planar images and spatial images of reference points that are indexed and attached on fabric are acquired by camera at different angle and focus, subsequently, the binary image of reference points are extracted by a series of algorithms such as filter, enhancement and binaryzation etc. Experimental result shows Kernel Fisher discriminant analysis has the better recognition ratio than routine nearest distance discriminant method. Correction recognition of reference points is the important step for the matching of multi-images and reconstruction of fabric surface morphology which provide the more information for fabric drape performance evaluation.

Affine moment invariants generated by graph method

2011 ◽  
Vol 44 (9) ◽  
pp. 2047-2056 ◽  
Author(s):  
Tomáš Suk ◽  
Jan Flusser
Keyword(s):  
Moment Invariants ◽  
Graph Method ◽  
Affine Moment Invariants
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