Michael H. F. Wilkinson – författare

This book constitutes the refereed proceedings of the 4th International Joint Conference on Discrete Geometry and Mathematical Morphology, DGMM 2025, held in Groningen, The Netherlands, during November 3–6, 2025.The 37 full papers included in this book were carefully reviewed and selected from 52 submissions. They were organized in topical sections as follows: Discrete Geometry – Models, Transforms, and Visualization; Computational Aspects of Discrete Structures and Tilings; Discrete and Combinatorial Topology; Hierarchical and Graph-Based Models, Analysis and Segmentation; Algorithms; Morphological Filters, PDEs and Multivariate Morphology; Mathematical Morphology and Digital Geometry for Applications.

This book constitutes the refereed proceedings of the 4th International Joint Conference on Discrete Geometry and Mathematical Morphology, DGMM 2025, held in Groningen, The Netherlands, during November 3–6, 2025.The 37 full papers included in this book were carefully reviewed and selected from 52 submissions. They were organized in topical sections as follows: Discrete Geometry – Models, Transforms, and Visualization; Computational Aspects of Discrete Structures and Tilings; Discrete and Combinatorial Topology; Hierarchical and Graph-Based Models, Analysis and Segmentation; Algorithms; Morphological Filters, PDEs and Multivariate Morphology; Mathematical Morphology and Digital Geometry for Applications.

The 9th ISMM conference covered a very diverse collection of papers, bound together by the central themes of mathematical morphology, namely, the tre- ment of images in terms of set and lattice theory. Notwithstanding this central theme, this ISMM showed increasing interaction with other ?elds of image and signal processing, and several hybrid methods were presented, which combine the strengths of traditional morphological methods with those of, for example, linear ?ltering.This trendis particularlystrong in the emerging?eld of adaptive morphological ?ltering, where the local shape of structuring elements is det- mined by non-morphological techniques. This builds on previous developments of PDE-based methods in morphology and amoebas. In segmentation we see similar advancements, in the development of morphological active contours. Even within morphology itself, diversi?cation is great, and many new areas of research are being opened up. In particular, morphology of graph-based and complex-based image representations are being explored. Likewise, in the we- established area of connected ?ltering we ?nd new theory and new algorithms, but also expansion into the direction of hyperconnected ?lters. New advances in morphological machine learning, multi-valued and fuzzy morphology are also presented. Notwithstanding the often highly theoretical reputation of mathematical morphology, practitioners in this ?eld have always had an eye for the practical.