Generalized Quantification Function of Monogenic Phase Congruency

Manuel G. Forero (), Carlos A. Jacanamejoy, Maximiliano Machado and Karla L. Penagos
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Manuel G. Forero: Professional School of Systems Engineering, Faculty of Engineering, Architecture and Urban Planning, Universidad Señor de Sipán, Chiclayo 14000, Lambayeque, Peru
Carlos A. Jacanamejoy: Semillero Lún, Grupo Naturatu, Faculty of Natural Sciences and Mathematics, Universidad de Ibagué, Ibagué 730002, Colombia
Maximiliano Machado: Grupo Naturatu, Faculty of Natural Sciences and Mathematics, Universidad de Ibagué, Ibagué 730002, Colombia
Karla L. Penagos: Semillero Lún, Grupo D+Tec, Faculty of Engineering, Universidad de Ibagué, Ibagué 730002, Colombia

Mathematics, 2023, vol. 11, issue 17, 1-16

Abstract: Edge detection is a technique in digital image processing that detects the contours of objects based on changes in brightness. Edges can be used to determine the size, orientation, and properties of the object of interest within an image. There are different techniques employed for edge detection, one of them being phase congruency, a recently developed but still relatively unknown technique due to its mathematical and computational complexity compared to more popular methods. Additionally, it requires the adjustment of a greater number of parameters than traditional techniques. Recently, a unique formulation was proposed for the mathematical description of phase congruency, leading to a better understanding of the technique. This formulation consists of three factors, including a quantification function, which, depending on its characteristics, allows for improved edge detection. However, a detailed study of the characteristics had not been conducted. Therefore, this article proposes the development of a generalized function for quantifying phase congruency, based on the family of functions that, according to a previous study, yielded the best results in edge detection.

Keywords: phase congruency; monogenic filters; edge detection; local energy; log-Gabor filter; Fourier transform (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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