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Fractional-Order Colour Image Processing

Author

Listed:
  • Manuel Henriques

    (IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal)

  • Duarte Valério

    (IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal)

  • Paulo Gordo

    (CENTRA, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, Portugal)

  • Rui Melicio

    (IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal
    ICT, Universidade de Évora, Rua Romão Ramalho 59, 7000-671 Évora, Portugal)

Abstract

Many image processing algorithms make use of derivatives. In such cases, fractional derivatives allow an extra degree of freedom, which can be used to obtain better results in applications such as edge detection. Published literature concentrates on grey-scale images; in this paper, algorithms of six fractional detectors for colour images are implemented, and their performance is illustrated. The algorithms are: Canny, Sobel, Roberts, Laplacian of Gaussian, CRONE, and fractional derivative.

Suggested Citation

  • Manuel Henriques & Duarte Valério & Paulo Gordo & Rui Melicio, 2021. "Fractional-Order Colour Image Processing," Mathematics, MDPI, vol. 9(5), pages 1-15, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:5:p:457-:d:504769
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    References listed on IDEAS

    as
    1. João Clímaco & João Paulo Costa & Gregory Kersten, 2015. "Introduction," Group Decision and Negotiation, Springer, vol. 24(4), pages 563-566, July.
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    Cited by:

    1. A. E. Matouk & T. N. Abdelhameed & D. K. Almutairi & M. A. Abdelkawy & M. A. E. Herzallah, 2023. "Existence of Self-Excited and Hidden Attractors in the Modified Autonomous Van Der Pol-Duffing Systems," Mathematics, MDPI, vol. 11(3), pages 1-13, January.
    2. Ru Zhao & Jingjing Liu, 2023. "Fractional-Order Variational Image Fusion and Denoising Based on Data-Driven Tight Frame," Mathematics, MDPI, vol. 11(10), pages 1-16, May.

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