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

Abstract : 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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https://www.hal.inserm.fr/inserm-00839754
Contributor : Lotfi Senhadji <>
Submitted on : Monday, July 1, 2013 - 2:38:29 PM
Last modification on : Friday, July 5, 2019 - 10:16:02 AM
Long-term archiving on: : Wednesday, October 2, 2013 - 4:10:40 AM

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Haiyong Wu, Jean-Louis Coatrieux, Huazhong Shu. New Algorithm for Constructing and Computing Scale Invariants of 3D Tchebichef Moments. Mathematical Problems in Engineering, Hindawi Publishing Corporation, 2013, pp.813606. ⟨10.1155/2013/813606⟩. ⟨inserm-00839754⟩

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