On the choice of consistent canonical form during moment normalization
作者： Yani Zhang , Changyun Wen , Ying Zhang , Yeng Chai Soh
DOI: 10.1016/J.PATREC.2003.08.006
关键词: Affine transformation 、 Mathematical analysis 、 Ambiguity 、 Invariant (mathematics) 、 Canonical form 、 Mathematics 、 Geometric transformation 、 Applied mathematics
摘要: The key issue in normalization with respect to geometric transformation is how obtain a consistent canonical form which remains unchanged for different related images. Due ambiguities inherent the specified methods, more than one may occur during procedure. This causes difficulties obtaining expected invariant features or parameters through normalization. paper aims provide general schemes analyze ambiguity characteristics and derive matrices can be eliminated. Three kinds of caused by multi-roots high-order polynomials, symmetrical constraints, reflection are addressed solutions provided each kind ambiguities.
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