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International Workshop on Algebraic Frames for the Perception-Action Cycle

AFPAC 1997: Algebraic Frames for the Perception-Action Cycle pp 164–175Cite as

On Hestenes' formalization for describing linear image transforms

  • Recognition of Visual Structure
  • Conference paper
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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1315))

Abstract

In the framework of D.Hestenes conception of Clifford algebras a description of linear image transforms is considered. It is show that the geometric algebra of a space with degenerate metric is an obvious and effective tool. It is stated that a lot of linear image transforms are realized with screwing (generalized rotation + shift) of this algebra.

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Authors and Affiliations

  1. Image Processing Systems Institute of RAS, 151 Molodogvardeiskaya st., IPSI RAS, 443001, Samara, Russia

    Andrew V. Chernov & Vladimir M. Chernov

Authors
  1. Andrew V. Chernov
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  2. Vladimir M. Chernov
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Editor information

Gerald Sommer Jan J. Koenderink

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© 1997 Springer-Verlag Berlin Heidelberg

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Chernov, A.V., Chernov, V.M. (1997). On Hestenes' formalization for describing linear image transforms. In: Sommer, G., Koenderink, J.J. (eds) Algebraic Frames for the Perception-Action Cycle. AFPAC 1997. Lecture Notes in Computer Science, vol 1315. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0017866

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  • DOI: https://doi.org/10.1007/BFb0017866

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63517-8

  • Online ISBN: 978-3-540-69589-9

  • eBook Packages: Springer Book Archive

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