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Abstract:
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