Empirical Voronoi wavelets

Year 2022, , 183 - 189, 01.12.2022

Jerome Gilles

https://doi.org/10.33205/cma.1181174

Abstract

Recently, the construction of 2D empirical wavelets based on partitioning the Fourier domain with the watershed transform has been proposed. If such approach can build partitions of completely arbitrary shapes, for some applications, it is desirable to keep a certain level of regularity in the geometry of the obtained partitions. In this paper, we propose to build such partition using Voronoi diagrams. This solution allows us to keep a high level of adaptability while guaranteeing a minimum level of geometric regularity in the detected partition.

Keywords

Empirical wavelet, Voronoi diagram, adaptive partitioning, harmonic mode decomposition

Supporting Institution

Air Force Office of Scientific Research

Project Number

FA9550-21-1-0275

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