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Visualization and Processing of Tensor Fields pp 281–301Cite as

Monogenic Curvature Tensor as Image Model

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Part of the book series: Mathematics and Visualization ((MATHVISUAL))

Summary

In this chapter, a new rotation-invariant generalization of the analytic signal will be presented to analyze intrinsic 1D and 2D local image structures. By combining differential geometry and Clifford analysis, the monogenic curvature tensor can be derived to perform a split of identity and to enable simultaneous estimation of local amplitude, phase, main orientation, and angle of intersection in a monogenic scale-space framework.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Christian-Albrechts-University, Kiel, Germany

    Gerald Sommer, Lennart Wietzke & Di Zang

Authors
  1. Gerald Sommer
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  2. Lennart Wietzke
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  3. Di Zang
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Brown University, Box 1910, 02912, Providence, RI, USA

    David Laidlaw

  2. Faculty of Mathematics and Computer Science Mathematical Image Analysis Group, Saarland University, 66041, Saarbrücken, Germany

    Joachim Weickert

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Sommer, G., Wietzke, L., Zang, D. (2009). Monogenic Curvature Tensor as Image Model. In: Laidlaw, D., Weickert, J. (eds) Visualization and Processing of Tensor Fields. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88378-4_14

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