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Book Chapter

A Higher-Order Structure Tensor


Schultz,  Thomas
Computer Graphics, MPI for Informatics, Max Planck Society;


Seidel,  Hans-Peter
Computer Graphics, MPI for Informatics, Max Planck Society;

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Schultz, T., Weickert, J., & Seidel, H.-P. (2009). A Higher-Order Structure Tensor. In D. H. Laidlaw, & J. Weickert (Eds.), Visualization and Processing of Tensor Fields - Advances and Perspectives (pp. 263-280). Berlin: Springer.

Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-196B-4
Structure tensors are a common tool for orientation estimation in image processing and computer vision. We present a generalization of the traditional second-order model to a higher-order structure tensor (HOST), which is able to model more than one significant orientation, as found in corners, junctions, and multi-channel images. We provide a theoretical analysis and a number of mathematical tools that facilitate practical use of the HOST, visualize it using a novel glyph for higher-order tensors, and demonstrate how it can be applied in an improved integrated edge, corner, and junction detector.