Empirical Voronoi wavelets

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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Dec 01, 2022
Source ID
10.33205/cma.1181174

Entities

People

  • Jérôme Gilles

Organizations

  • Air Force Office of Scientific Research
  • San Diego State University

Tags

Fields of Study

  • Computer science

Readers

  • Agricultural Chemistry/Soil Science
  • Calculus or Mathematical Analysis
  • Image Processing and Computer Vision.