Image Analysis Using Quaternion Wavelets

Leonardo Traversoni

Chapter Chapter 16 in Geometric Algebra with Applications in Science and Engineering, 2001, pp 326-345 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0159-5_16

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DOI: 10.1007/978-1-4612-0159-5_16

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