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The processing of multispectral images is a challenging task due to the fact that the pixel content is vectorial and the definition of an order is difficult. A new geometrical framework based on double hypersimplices and the Loewner ordering is illustrated to define the two fundamental operations dilation and erosion for multispectral images. These are the two main building blocks of mathematical morphology to define higher morphological operations such as top hats, gradients, and the morphological Laplacian. Numerical results are given to show the advantages and shortcomings of the new proposed approach.
This presentation is part of Minisymposium “MS48 - Recent Advances in Mathematical Morphology: Algebraic and PDE-based Approaches”
organized by: Martin Welk (Private University for Health Sciences, Medical Informatics and Technology (UMIT)) , Michael Breuss (Brandenburg University of Technology) .