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Image Analysis Using Quaternion Wavelets

In: Geometric Algebra with Applications in Science and Engineering

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  • Leonardo Traversoni

Abstract

The idea for Quaternion Wavelets comes from the need to represent evolving objects without the use of sequencial pictures of the object in different positions. We present a short introduction to ordinary wavelets, emphazising those concepts that are needed to translate the ideas to a quaternion framework. We also set up the quaternionic framework for the theory, because even when it is known, it has been used in so many different ways that a coherent picture becomes very difficult.

Suggested Citation

  • Leonardo Traversoni, 2001. "Image Analysis Using Quaternion Wavelets," Springer Books, in: Eduardo Bayro Corrochano & Garret Sobczyk (ed.), Geometric Algebra with Applications in Science and Engineering, chapter 0, pages 326-345, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4612-0159-5_16
    DOI: 10.1007/978-1-4612-0159-5_16
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