MPI-INF/SWS Research Reports 1991-2021

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A higher-order structure tensor

Schultz, Thomas and Weickert, Joachim and Seidel, Hans-Peter

July 2007, 29 pages.

Status: available - back from printing

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

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  AUTHOR = {Schultz, Thomas and Weickert, Joachim and Seidel, Hans-Peter},
  TITLE = {A higher-order structure tensor},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-2007-4-005},
  MONTH = {July},
  YEAR = {2007},
  ISSN = {0946-011X},