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Unified Mathematical Formulation of Monogenic Phase Congruency

Author

Listed:
  • Manuel G. Forero

    (Semillero Lún, Grupo D+Tec, Faculty of Engineering, Universidad de Ibagué, Ibagué 730007, Colombia
    These authors contributed equally to this work.)

  • Carlos A. Jacanamejoy

    (Semillero Lún, Grupo Naturatu, Faculty of Natural Sciences and Mathematics, Universidad de Ibagué, Ibagué 730007, Colombia
    These authors contributed equally to this work.)

Abstract

Phase congruency is a technique that has been used for edge, corner and symmetry detection. Its implementation through the use of monogenic filters has improved its computational cost. For this purpose, different methods of implementation have been published, but they do not use a common notation, which makes it difficult to understand. Therefore, this paper presents a unified mathematical formulation that allows a general understanding of the Monogenic phase congruency concepts and establishes criteria for its use. A new protocol for parameter tuning is also described, allowing better practical results to be obtained with this technique. Some examples are presented allowing one to observe the changes produced in the parameter tuning, evidencing the validity of the proposed criteria.

Suggested Citation

  • Manuel G. Forero & Carlos A. Jacanamejoy, 2021. "Unified Mathematical Formulation of Monogenic Phase Congruency," Mathematics, MDPI, vol. 9(23), pages 1-17, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:23:p:3080-:d:691373
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    Cited by:

    1. Manuel G. Forero & Carlos A. Jacanamejoy & Maximiliano Machado & Karla L. Penagos, 2023. "Generalized Quantification Function of Monogenic Phase Congruency," Mathematics, MDPI, vol. 11(17), pages 1-16, September.

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