Hugues Talbot - Böcker

Mathematical Morphology allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, topology, and random functions. It is the basis of morphological image processing, and finds applications in fields including digital image processing (DSP), as well as areas for graphs, surface meshes, solids, and other spatial structures. This book presents an up-to-date treatment of mathematical morphology, based on the three pillars that made it an important field of theoretical work and practical application: a solid theoretical foundation, a large body of applications and an efficient implementation.The book is divided into five parts and includes 20 chapters. The five parts are structured as follows: Part I sets out the fundamental aspects of the discipline, starting with a general introduction, followed by two more theory-focused chapters, one addressing its mathematical structure and including an updated formalism, which is the result of several decades of work.Part II extends this formalism to some non-deterministic aspects of the theory, in particular detailing links with other disciplines such as stereology, geostatistics and fuzzy logic.Part III addresses the theory of morphological filtering and segmentation, featuring modern connected approaches, from both theoretical and practical aspects.Part IV features practical aspects of mathematical morphology, in particular how to deal with color and multivariate data, links to discrete geometry and topology, and some algorithmic aspects; without which applications would be impossible.Part V showcases all the previously noted fields of work through a sample of interesting, representative and varied applications.

This book constitutes the thoroughly refereed post-workshop proceedings of the Second International Workshop on Reproducible Research in Pattern Recognition, RRPR 2018, in Beijing, China in August 2018.The 8 revised full papers, presented together 6 short papers, were carefully reviewed and selected from 14 submissions. This year the workshop did focus on Digital Geometry and Mathematical Morphology. The first track 1 on RR Framework was dedicated to the general topics of Reproducible Research in Computer Sciencewith a potential link to Image Processing and Pattern Recognition. In the second track 2 the authors described their works in terms of Reproducible Research.

This book constitutes the thoroughly refereed post-workshop proceedings of the Third International Workshop on Reproducible Research in Pattern Recognition, RRPR 2021, held as a virtual event, in January 2021. The 8 revised full papers, presented together with 6 short papers, were carefully reviewed and selected from 18 submissions.