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The construction of wavelets adapted to compact domains

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Abstract

A theoretical framework to construct wavelets adapted to compact domains has already been established, however technical considerations must be addressed to implement the construction on a larger variety of domains. In this article we generalize the theory further and provide a methodology to explicitly construct the wavelets. Examples of the construction for a rectangular surface, a triangular surface, and a smooth simplex in ℝ3 are given. An extension of the theory to triangulated manifolds of finite distortion in n dimensions is also explained.

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Authors and Affiliations

  1. University, 65 Glenbrook Rd, Stamford, CT, 06902, USA

    Dale W. Struble

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  1. Dale W. Struble
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Correspondence to Dale W. Struble.

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Communicated by Yuesheng Xu.

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Struble, D.W. The construction of wavelets adapted to compact domains. Adv Comput Math 38, 581–600 (2013). https://doi.org/10.1007/s10444-011-9250-z

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  • DOI: https://doi.org/10.1007/s10444-011-9250-z

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