Analytic and directional wavelet packets

Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The paper presents a versatile library of analytic and quasi-analytic complex-valued wavelet packets (WPs) which originate from discrete splines of arbitrary orders. The real parts of quasi-analytic WPs are the regular spline-based orthonormal WPs designed in [1]. The imaginary parts are the so-called complementary orthonormal WPs, which, unlike the symmetric regular WPs, are antisymmetric. Tensor products of 1D quasi-analytic WPs provide a diversity of 2D WPs oriented in multiple directions. For example, the set of fourth-level WPs comprise 62 different directions. The designed computational scheme enables extremely fast and easy implementation of the WP transforms.

Original languageEnglish
Title of host publication2019 13th International Conference on Sampling Theory and Applications, SampTA 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728137414
DOIs
StatePublished - Jul 2019
Event13th International Conference on Sampling Theory and Applications, SampTA 2019 - Bordeaux, France
Duration: 8 Jul 201912 Jul 2019

Publication series

Name2019 13th International Conference on Sampling Theory and Applications, SampTA 2019

Conference

Conference13th International Conference on Sampling Theory and Applications, SampTA 2019
Country/TerritoryFrance
CityBordeaux
Period8/07/1912/07/19

Fingerprint

Dive into the research topics of 'Analytic and directional wavelet packets'. Together they form a unique fingerprint.

Cite this