Spatially-Variant Directional Mathematical Morphology Operators Based on a Diffused Average Squared Gradient FieldReport as inadecuate




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1 Dept. Tecnologías de la Información y las Comunicaciones 2 CMM - Centre de Morphologie Mathématique

Abstract : This paper proposes an approach for mathematical morphology operators whose structuring element can locally adapt its orientation across the pixels of the image. The orientation at each pixel is extracted by means of a diffusion process of the average squared gradient field. The resulting vector field, the average squared gradient vector flow, extends the orientation information from the edges of the objects to the homogeneous areas of the image. The provided orientation field is then used to perform a spatially variant filtering with a linear structuring element. Results of erosion, dilation, opening and closing spatially-variant on binary images prove the validity of this theoretical sound and novel approach.

Keywords : Biometrics Mathematical morphology Pixels Vectors Visual communication Diffusion processes Gradient fields Gradient vector flows Homogeneous areas Linear structuring elements Orientation fields Orientation informations Structuring elements Vector fields





Author: Rafael Verdu-Monedero - Jesus Angulo -

Source: https://hal.archives-ouvertes.fr/



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