activity
20162023
most citedUncertainty Principle for Measurable Sets and Signal Recovery in Quaternion Domains

18 citations · 25 across the 8 of their papers we have counts for

collaborators

8 papers

eess.IV2023

The Color Clifford Hardy Signal: Application to Color Edge Detection and Optical Flow

Xiaoxiao Hu, Kit Ian Kou, Cuiming Zou +1

This paper introduces the idea of the color Clifford Hardy signal, which can be used to process color images. As a complex analytic function's high-dimensional analogue, the color…

math.CA2019

Discrete Uncertainty Principle in Quaternion Setting and Application in Signal Reconstruction

Yan Yang, Kit Ian Kou, Cuiming Zou

In this paper, the uncertainty principle of discrete signals associated with Quaternion Fourier transform is investigated. It suggests how sparsity helps in the recovery of missing…

math.CA2016★ 1 cited

Prolate Spheroidal Wave Functions Associated with the Quaternionic Fourier Transform

Cuiming Zou, Kit Ian Kou, Joao Morais

One of the fundamental problems in communications is finding the energy distribution of signals in time and frequency domains. It should, therefore, be of great interest to find th…

math.CA2016★ 5 cited

Hypercomplex Signal Energy Concentration in the Spatial and Quaternionic Linear Canonical Frequency Domains

Cuiming Zou, Kit Ian Kou

Quaternionic Linear Canonical Transforms (QLCTs) are a family of integral transforms, which generalized the quaternionic Fourier transform and quaternionic fractional Fourier trans…

cs.IT2016★ 18 cited

Uncertainty Principle for Measurable Sets and Signal Recovery in Quaternion Domains

Kit Ian Kou, Yan Yang, Cuiming Zou

The classical uncertainty principle of harmonic analysis states that a nontrivial function and its Fourier transform cannot both be sharply localized. It plays an important role in…

stat.ME2016

Robust Signal Reconstruction Using the Prolate Spherical Wave Functions and Maximum Correntropy Criterion

Cuiming Zou, Kit Ian Kou

Signal Reconstruction is one of the most important problem in signal processing. This paper proposes a novel signal reconstruction method based on the prolate spherical wave functi…

math.CA2016★ 1 cited

Edge Detection Methods Based on Differential Phase Congruency of Monogenic Image

Yan Yang, Kit Ian Kou, Cuiming Zou

Edge Detection Methods Based on Differential Phase Congruency of Monogenic Image Abstract: Edge detection has been widely used in medical image processing and automatic diagnosis.…

cs.CV2016

Facial Expression Classification Using Rotation Slepian-based Moment Invariants

Cuiming Zou, Kit Ian Kou

Rotation moment invariants have been of great interest in image processing and pattern recognition. This paper presents a novel kind of rotation moment invariants based on the Slep…