Analytic and directional wavelet packets

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

doi:10.1109/SampTA45681.2019.9030914

Analytic and directional wavelet packets

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

School of Computer Science

University of Jyväskylä

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-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 language	English
Title of host publication	2019 13th International Conference on Sampling Theory and Applications, SampTA 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781728137414
DOIs	https://doi.org/10.1109/SampTA45681.2019.9030914
State	Published - Jul 2019
Event	13th International Conference on Sampling Theory and Applications, SampTA 2019 - Bordeaux, France Duration: 8 Jul 2019 → 12 Jul 2019

Publication series

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

Conference

Conference	13th International Conference on Sampling Theory and Applications, SampTA 2019
Country/Territory	France
City	Bordeaux
Period	8/07/19 → 12/07/19

Funding

Funders	Funder number
Blavatnik Computer Science Research Fund Israel Ministry of Science and Technology	3-13601
Suomen Akatemia	311514
Israel Science Foundation	1556/17

Access to Document

10.1109/SampTA45681.2019.9030914

Cite this

Averbuch, A. Z., Neittaanmäki, P., & Zheludev, V. A. (2019). Analytic and directional wavelet packets. In 2019 13th International Conference on Sampling Theory and Applications, SampTA 2019 Article 9030914 (2019 13th International Conference on Sampling Theory and Applications, SampTA 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SampTA45681.2019.9030914

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Averbuch, AZ, Neittaanmäki, P & Zheludev, VA 2019, Analytic and directional wavelet packets. in 2019 13th International Conference on Sampling Theory and Applications, SampTA 2019., 9030914, 2019 13th International Conference on Sampling Theory and Applications, SampTA 2019, Institute of Electrical and Electronics Engineers Inc., 13th International Conference on Sampling Theory and Applications, SampTA 2019, Bordeaux, France, 8/07/19. https://doi.org/10.1109/SampTA45681.2019.9030914

Analytic and directional wavelet packets. / Averbuch, Amir Z.; Neittaanmäki, Pekka; Zheludev, Valery A.
2019 13th International Conference on Sampling Theory and Applications, SampTA 2019. Institute of Electrical and Electronics Engineers Inc., 2019. 9030914 (2019 13th International Conference on Sampling Theory and Applications, SampTA 2019).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Analytic and directional wavelet packets

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