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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 detector.