Empirical Voronoi wavelets

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Constructive Mathematical Analysis
Volume:5 Issue:4
Empirical Voronoi wavelets

Empirical Voronoi wavelets

Pages : 183-189

View : 12 | Download : 5

Publication Date : 2022-12-01

Article Type : Research Paper

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

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