English

Monogenic Signal Associated with Linear Canonical Transform and Application to Edge Detection Problems

Classical Analysis and ODEs 2022-09-20 v1

Abstract

Monogenic signal is regarded as a generalization of analytic signal from the one dimensional space to the high dimensional space. It is defined by an original signal with the combination of Riesz transform. Then it provides the signal features representation, such as the local attenuation and the local phase vector. The main objective of this study is to analyze the local phase vector and the local attenuation in the high dimensional spaces. The differential phase congruency is applied for the edge detection problems.

Cite

@article{arxiv.2209.08880,
  title  = {Monogenic Signal Associated with Linear Canonical Transform and Application to Edge Detection Problems},
  author = {Dong Cheng and Kit Ian Kou},
  journal= {arXiv preprint arXiv:2209.08880},
  year   = {2022}
}

Comments

11 pages, 2 figures

R2 v1 2026-06-28T01:34:30.258Z