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Advances in Applied Clifford Algebras

, Volume 24, Issue 2, pp 293–312 | Cite as

Spin Geometry and Image Processing

  • Michel Berthier
Article
  • 243 Downloads

Abstract

We give a survey of applications of spin geometry to image processing. We mainly focus on the problem of defining geometric Fourier transforms for both grey-level and color images. The definitions we propose rely on a spin generalization of the usual notion of character. We consider three possibilities for the actions of these spin characters: by using the spinor representation of grey-level image surfaces; by considering grey-level and color images as sections of associated bundles built first with standard representations and then with spin representations. Examples of applications to low-pass filtering are presented.

Keywords

Spin Geometry Image Processing Clifford Fourier Transform 

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.MIA LaboratoryLa Rochelle UniversityLa RochelleFrance

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