Riesz Transform Associated with Linear Canonical Transform: Definition and Its Application in Envelope Detection

Jian Yi Chen, Bing Zhao Li*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

This article presents a novel approach called the generalized Riesz transform (GRT) that addresses the issue of negative frequency components in linear canonical transform (LCT). The GRT is an isotropic extension of the two-dimensional Hilbert transform and finds applications in computer vision, medical imaging, and pattern recognition, with specific emphasis on edge detection, texture analysis, and feature extraction. The article defines the GRT within the framework of linear canonical domains using three-dimensional harmonic fields and properties of the LCT, and provides a spatial domain filtering formula for GRT. The effectiveness of GRT in capturing texture features is demonstrated through the concept of generalized monogenic signal, and an envelope detection algorithm based on GRT and phase consistency is proposed, showcasing superior performance compared to conventional methods.

Original languageEnglish
Title of host publicationIVSP 2024 - 2024 6th International Conference on Image, Video and Signal Processing
PublisherAssociation for Computing Machinery
Pages135-141
Number of pages7
ISBN (Electronic)9798400716829
DOIs
Publication statusPublished - 14 Mar 2024
Event6th International Conference on Image, Video and Signal Processing, IVSP 2024 - Hybrid, Kawasaki, Japan
Duration: 14 Mar 202416 Mar 2024

Publication series

NameACM International Conference Proceeding Series

Conference

Conference6th International Conference on Image, Video and Signal Processing, IVSP 2024
Country/TerritoryJapan
CityHybrid, Kawasaki
Period14/03/2416/03/24

Keywords

  • envelope detection
  • generalized monogenic signal
  • Generalized Riesz transform
  • linear canonical transform

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