[IPOL announce] new article: Adaptive Anisotropic Morphological Filtering Based on Co-Circularity of Local Orientations

[announcements about the IPOL journal]

A new article is available in IPOL: http://www.ipol.im/pub/art/2022/397/

Samy Blusseau, Santiago Velasco-Forero, Jesús Angulo, and Isabelle Bloch,
Adaptive Anisotropic Morphological Filtering Based on Co-Circularity of 
Local Orientations,
Image Processing On Line, 12 (2022), pp. 111–141.
https://doi.org/10.5201/ipol.2022.397


Abstract
The algorithm presented in this paper is an application of a general 
framework for morphological processing of signals on weighted graphs. 
Here we apply it to images by defining what we call a co-circularity 
graph. In this graph, the vertices are the pixels and the weighted edges 
depend on a consistency criterion (co-circularity) between local 
orientations estimated from the structure tensors. This graph induces 
anisotropic adaptive morphological operators which are related both to 
anisotropic diffusion in images and path optimality in graphs. We 
present several applications such as the enhancement of fiber-like 
structures, completion of interrupted edges and the regularization of 
grayscale images. We also discuss the parameters setting depending on 
the application.