A Construction of Biorthogonal Wavelets With a Compact Operator
Mehmet Ersoy (LAMA)
TL;DR
This paper introduces a method to construct biorthogonal wavelets using a compact operator, enhancing properties like regularity, vanishing moments, and support, along with an algorithm for filter computation.
Contribution
The paper proposes a novel construction technique for biorthogonal wavelets leveraging a compact operator, improving key wavelet properties and providing a practical filter computation algorithm.
Findings
Enhanced wavelet regularity and vanishing moments
Preservation of symmetry and compact support
Efficient algorithm for filter design
Abstract
We present a construction of biorthogonal wavelets using a compact operator which allows to preserve or increase some properties: regularity/vanishing moments, parity, compact supported. We build then a simple algorithm which computes new filters.
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Taxonomy
TopicsImage and Signal Denoising Methods · Advanced Image Fusion Techniques · Mathematical Analysis and Transform Methods