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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Published in | Mathematical problems in engineering Vol. 2013; no. 2013; pp. 1 - 8 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Cairo, Egypt
Hindawi Publishing Corporation
01.01.2013
Hindawi Limited |
Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 1024-123X 1563-5147 |
DOI: | 10.1155/2013/813606 |