New Algorithm for Constructing and Computing Scale Invariants of 3D Tchebichef Moments

Scale invariants of Tchebichef moments are usually achieved by a linear combination of corresponding invariants of geometric moments or via an iterative algorithm to eliminate the scale factor. According to the properties of Tchebichef polynomials, we propose a new approach to construct scale invari...

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Bibliographic Details
Published inMathematical problems in engineering Vol. 2013; no. 2013; pp. 1 - 8
Main Authors Wu, Haiyong, Shu, Huazhong, Coatrieux, Jean Louis
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2013
Hindawi Limited
Subjects
Bioengineering
Computer Science
Engineering Sciences
Invariants
Iterative algorithms
Iterative methods
Life Sciences
Mathematical problems
Pattern recognition
Signal and Image processing
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Summary:Scale invariants of Tchebichef moments are usually achieved by a linear combination of corresponding invariants of geometric moments or via an iterative algorithm to eliminate the scale factor. According to the properties of Tchebichef polynomials, we propose a new approach to construct scale invariants of Tchebichef moments. An algorithm based on matrix multiplication is also provided to efficiently compute the 3D moments and invariants. Several experiments are carried out to validate the effectiveness of our descriptors and algorithm.
ISSN:1024-123X
1563-5147
DOI:10.1155/2013/813606