Multi-dimensional wavelets for scalable image decomposition: Orbital wavelets-Reference-Cited by-同舟云学术

Multi-dimensional wavelets for scalable image decomposition: Orbital wavelets

Published:2020-06-15 Issue:05 Volume:18 Page:2050038
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

de Oliveira H. M.¹,Vermehren V. V.²,Cintra R. J.¹³

Affiliation:

1. Departamento de Estatística, Universidade Federal de Pernambuco, Recife, PE, Brazil

2. Departamento de Engenharia Elétrica, Universidade do Estado do Amazonas, Manaus, AM, Brazil

3. Department of Electrical and Computer Engineering, University of Calgary, Calgary, AB, Canada

Abstract

Wavelets are closely related to Schrödinger’s wave functions and the interpretation of Born. Similar to the appearance of atomic orbital, it is proposed to combine anti-symmetric wavelets into orbital wavelets. The proposed approach allows the increase of the dimension of wavelets through this process. New orbital 2D-wavelets are introduced for the decomposition of still images, showing that it is possible to perform an analysis simultaneously in two distinct scales. An example of such an image analysis is shown.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691320500381

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