Phase Based Edge Detection Algorithms

Residential College	false
Status	已發表Published
	Phase Based Edge Detection Algorithms
	Hu, X. X.; Kou, K. I.
	2018-07-30
Source Publication	Mathematical Methods in the Applied Sciences
ISSN	1099-1476
Pages	4148-4169
Abstract	Quaternion analytic signal is regarded as a generalization of analytic signal from 1D to 4D space. It is defined by an original signal with its quaternion partial and total Hilbert transforms. The quaternion analytic signal provides the signal features representation, such as the local amplitude and local phase angle, the latter includes the structural information of the original signal. The aim of the present study is twofold. Firstly, it attempts to analyze the Plemelj-Sokhotzkis formula associated with QFT and QLCT. With these formulas, we show that the quaternion analytic signals are the boundary values of quaternion Hardy functions in the upper half space of two complex variables space. Secondly, the quaternion analytic signal can be extended to the quaternion Hardy function in the upper half space of two complex variables space. Two novel types of phase based edge detectors are proposed, namely Quaternion Differential Phase Angle and Quaternion Differential Phase Congruency methods. In term of peak signal-to-noise ratio (PSNR) and structural similarity index measure (SSIM), comparisons with competing methods on real-world images consistently show the superiority of the proposed methods.
Keyword	Edge Detection Quaternion Analytic Signal Quaternion Fourier Transform Hardy Space Plemelj-sokhotzkis Formulaes
Indexed By	SCIE
Language	英語English
The Source to Article	PB_Publication
Document Type	Journal article
Collection	University of Macau
Corresponding Author	Kou, K. I.
Affiliation	1.University of Macau 2.University of Macau
Recommended Citation GB/T 7714	Hu, X. X.,Kou, K. I.. Phase Based Edge Detection Algorithms[J]. Mathematical Methods in the Applied Sciences, 2018, 4148-4169.
APA	Hu, X. X.., & Kou, K. I. (2018). Phase Based Edge Detection Algorithms. Mathematical Methods in the Applied Sciences, 4148-4169.
MLA	Hu, X. X.,et al."Phase Based Edge Detection Algorithms".Mathematical Methods in the Applied Sciences (2018):4148-4169.

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