López Molina, CarlosMontero De Juan, Francisco JavierBustince, HumbertoDe Baets, BernardOlaso, PabloRojas Patuelli, KarinaGómez González, DanielMontero De Juan, Francisco Javier2023-06-182023-06-182017Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K.T., Krawczak, M. eds: Advances in Fuzzy Logic and Technology 2017. Springer International Publishing, Cham (2018)978-331966826010.1007/978-3-319-66824-6 38https://hdl.handle.net/20.500.14352/19473International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets Proceedings of the Conference of the European Society for Fuzzy Logic and TechnologyWhile 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.engGradient Fusion Operators for Vector-Valued Image Processingbook parthttps//doi.org/10.1007/978-3-319-66824-6 38https://link.springer.com/chapter/10.1007/978-3-319-66824-6_38restricted access510.6Vector-valued imagesDifferentiationJacobian matrixInformation fusionLógica simbólica y matemática (Matemáticas)1102.14 Lógica Simbólica