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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.

Keywords

Clifford Algebra Monogenic Function Dyadic Cube Cauchy Kernel Dual Quaternion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Leonardo Traversoni

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