Spatially-Variant Anisotropic Morphological Filters Driven By Gradient Fields

Rafael Verdu-Monedero (1) , Jesus Angulo (2) , Jean Serra (3)

1 Dept. Tecnologías de la Información y las Comunicaciones
2 CMM - Centre de Morphologie Mathématique
3 A2SI - Laboratoire Algorithmique et Architecture des Systèmes Informatiques

This paper deals with the theory and applications of spatially-variant mathematical morphology. We formalize the definition of spatially variant dilation/erosion and opening/closing for gray-level images using exclusively the structuring function, without resorting to complement. This sound theoretical framework allows to build morphological operators whose structuring elements can locally adapt their orientation across the dominant direction of image structures. The orientation at each pixel is extracted by means of a diffusion process of the average square gradient field, which regularizes and extends the orientation information from the edges of the objects to the homogeneous areas of the image. The proposed filters are used for enhancement of anisotropic images features such as coherent, flow-like structures.

Mots clés: Mathematical morphology; Anisotropic image; Diffusion process; Dilation/erosion; Gradient fields; Gray level image; Image Structures; Morphological filters; Morphological operator; Orientation information; Structuring element; Theoretical framework; Anisotropy; Image analysis; Imaging systems; Mathematical operators

Domaines: Informatique [cs]; Traitement des images [eess.IV]

Rafael Verdu-Monedero, Jesus Angulo, Jean Serra. Spatially-Variant Anisotropic Morphological Filters Driven By Gradient Fields. 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing, ISMM 2009, Aug 2009, Groningen, Netherlands. pp.115-125, ⟨10.1007/978-3-642-03613-2_11⟩. ⟨hal-00834389⟩