A systematic approach to nD orientation representation
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摘要
In this paper, we present new insights in methods to solve the orientation representation problem in arbitrary dimensions. The gradient structure tensor is one of the most used descriptors for local structure in multi-dimensional images. We will relate its properties to the double angle method (2D) and the Knutsson mapping. We present a general scheme to reduce the dimensionality of the Knutsson mapping and derive some properties of these reduced mappings.
论文关键词：Gradient structure tensor,Knutsson mapping,Continuous orientation representation,Local structure
论文评审过程：Received 17 July 2002, Revised 14 November 2003, Accepted 18 November 2003, Available online 22 January 2004.
论文官网地址：https://doi.org/10.1016/j.imavis.2003.11.005
