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Gradient Fusion Operators for Vector-Valued Image Processing

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Advances in Fuzzy Logic and Technology 2017 (EUSFLAT 2017, IWIFSGN 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 642))

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Abstract

While classical image processing algorithms were designed for scalar-valued (binary or grayscale) images, new technologies have made it commonplace to work with vector-valued ones. These technologies can involve new types of sensors, as in remote sensing, but also mathematical models leading to an increased cardinality at each pixel. This work analyzes the role of first-order differentiation in vector-valued images; specifically, we explore a novel operator to produce a 2D vector from a Jacobian matrix, in order to represent the variation in a vector-valued image as a planar feature.

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Notes

  1. 1.

    Non-standard situations, such as saddle points, can lead to secondary, more intricate considerations on this geometrical interpretation.

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Author information

Authors and Affiliations

  1. Dpto. Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain

    Carlos Lopez-Molina & Humberto Bustince

  2. Faculty of Mathematics, Complutense University and Geosciences Institute IGEO (CSIC-UCM), Madrid, Spain

    Javier Montero

  3. KERMIT, Department of Mathematical Modelling, Statistics and Bioinformatics, Ghent University, Ghent, Belgium

    Bernard De Baets

Authors
  1. Carlos Lopez-Molina
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  2. Javier Montero
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  3. Humberto Bustince
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  4. Bernard De Baets
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Corresponding author

Correspondence to Carlos Lopez-Molina .

Editor information

Editors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Eulalia Szmidt

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Slawomir Zadrożny

  4. Department of Telecommunications and Information Processing, Bulgarian Academy of Sciences, Sofia, Bulgaria

    K. T. Atanassov

  5. WIT - Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

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Lopez-Molina, C., Montero, J., Bustince, H., De Baets, B. (2018). Gradient Fusion Operators for Vector-Valued Image Processing. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 642. Springer, Cham. https://doi.org/10.1007/978-3-319-66824-6_38

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  • DOI: https://doi.org/10.1007/978-3-319-66824-6_38

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66823-9

  • Online ISBN: 978-3-319-66824-6

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