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Journal Article

A systematic approach to nD orientation representation


Rieger,  B.
Department of Molecular Biology, MPI for biophysical chemistry, Max Planck Society;

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Rieger, B., & van Vliet, L. J. (2004). A systematic approach to nD orientation representation. Image & Vision Computing, 22(6): doi:10.1016/j.imavis.2003.11.005, pp. 453-459. Retrieved from http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6V09-4BHK3PK-1-52&_cdi=5641&_user=38661&_orig=search&_coverDate=06%2F01%2F2004&_sk=999779993&view=c&wchp=dGLzVtb-zSkzV&md5=5f4c6182a41333d0368a65af0245f991&ie=/sdarticle.pdf.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-EE6A-5
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.