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 multichannel 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.
CITATION STYLE
Schultz, T., Weickert, J., & Seidel, H. P. (2009). A higher-order structure tensor. In Mathematics and Visualization (Vol. 0, pp. 263–279). Springer Heidelberg. https://doi.org/10.1007/978-3-540-88378-4_13
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