Computational Geometry, Topology and Physics of Digital Images with Applications
Title | Computational Geometry, Topology and Physics of Digital Images with Applications PDF eBook |
Author | James F. Peters |
Publisher | Springer Nature |
Pages | 440 |
Release | 2019-10-03 |
Genre | Technology & Engineering |
ISBN | 303022192X |
This book discusses the computational geometry, topology and physics of digital images and video frame sequences. This trio of computational approaches encompasses the study of shape complexes, optical vortex nerves and proximities embedded in triangulated video frames and single images, while computational geometry focuses on the geometric structures that infuse triangulated visual scenes. The book first addresses the topology of cellular complexes to provide a basis for an introductory study of the computational topology of visual scenes, exploring the fabric, shapes and structures typically found in visual scenes. The book then examines the inherent geometry and topology of visual scenes, and the fine structure of light and light caustics of visual scenes, which bring into play catastrophe theory and the appearance of light caustic folds and cusps. Following on from this, the book introduces optical vortex nerves in triangulated digital images. In this context, computational physics is synonymous with the study of the fine structure of light choreographed in video frames. This choreography appears as a sequence of snapshots of light reflected and refracted from surface shapes, providing a solid foundation for detecting, analyzing and classifying visual scene shapes.
Computational Topology for Biomedical Image and Data Analysis
Title | Computational Topology for Biomedical Image and Data Analysis PDF eBook |
Author | Rodrigo Rojas Moraleda |
Publisher | CRC Press |
Pages | 116 |
Release | 2019-07-12 |
Genre | Medical |
ISBN | 0429810997 |
This book provides an accessible yet rigorous introduction to topology and homology focused on the simplicial space. It presents a compact pipeline from the foundations of topology to biomedical applications. It will be of interest to medical physicists, computer scientists, and engineers, as well as undergraduate and graduate students interested in this topic. Features: Presents a practical guide to algebraic topology as well as persistence homology Contains application examples in the field of biomedicine, including the analysis of histological images and point cloud data
Advances in Computational Neuroscience
Title | Advances in Computational Neuroscience PDF eBook |
Author | Thomas Nowotny |
Publisher | Frontiers Media SA |
Pages | 253 |
Release | 2022-02-23 |
Genre | Science |
ISBN | 2889745015 |
Computational Topology in Image Context
Title | Computational Topology in Image Context PDF eBook |
Author | Massimo Ferri |
Publisher | Springer |
Pages | 166 |
Release | 2012-06-13 |
Genre | Computers |
ISBN | 3642302386 |
This book constitutes the proceedings of the 4th International Workshop on Computational Topology in Image Context, CTIC 2012, held in Bertinoro, Italy, in May 2012. The 16 papers presented in this volume were carefully reviewed and selected for inclusion in this book. They focus on the topology and computation in image context. The workshop is devoted to computational methods using topology for the analysis and comparison of images. The involved research fields comprise computational topology and geometry, discrete topology and geometry, geometrical modeling, algebraic topology for image applications, and any other field involving a geometric-topological approach to image processing.
Computational Topology in Image Context
Title | Computational Topology in Image Context PDF eBook |
Author | Alexandra Bac |
Publisher | Springer |
Pages | 310 |
Release | 2016-06-01 |
Genre | Computers |
ISBN | 331939441X |
This book constitutes the proceedings of the 6th International Workshop on Computational Topology in Image Context, CTIC 2016, held in Marseille, France, in June 2016. The 24 papers presented in this volume were carefully reviewed and selected from 35 submissions. Additionally, this volume contains 2 invited papers. CTIC covers a wide range of topics such as: topological invariants and their computation, homology, cohomology, linking number, fundamental groups; algorithm optimization in discrete geometry, transfer of mathematical tools, parallel computation in multi-dimensional volume context, hierarchical approaches; experimental evaluation of algorithms and heuristics; combinatorial or multi-resolution models; discrete or computational topology; geometric modeling guided by topological constraints; computational topological dynamics; and use of topological information in discrete geometry applications.
Digital Geometry
Title | Digital Geometry PDF eBook |
Author | Reinhard Klette |
Publisher | Morgan Kaufmann |
Pages | 676 |
Release | 2004-08-06 |
Genre | Computers |
ISBN | 1558608613 |
The first book on digital geometry by the leaders in the field.
New Trends in Applied Analysis and Computational Mathematics
Title | New Trends in Applied Analysis and Computational Mathematics PDF eBook |
Author | Susanta Kumar Paikray |
Publisher | Springer Nature |
Pages | 322 |
Release | 2021-06-28 |
Genre | Technology & Engineering |
ISBN | 9811614024 |
The volume contains original research papers as the Proceedings of the International Conference on Advances in Mathematics and Computing, held at Veer Surendra Sai University of Technology, Odisha, India, on 7-8 February, 2020. It focuses on new trends in applied analysis, computational mathematics and related areas. It also includes certain new models, image analysis technique, fluid flow problems, etc. as applications of mathematical analysis and computational mathematics. The volume should bring forward new and emerging topics of mathematics and computing having potential applications and uses in other areas of sciences. It can serve as a valuable resource for graduate students, researchers and educators interested in mathematical tools and techniques for solving various problems arising in science and engineering.