Computational Geometry Topology And Physics Of Digital Images With Applications
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| Author | : James F. Peters |
| Publisher | : Springer Nature |
| Total Pages | : 440 |
| Release | : 2019-10-03 |
| Genre | : Technology & Engineering |
| ISBN | : 303022192X |
Download Computational Geometry, Topology and Physics of Digital Images with Applications Book in PDF, Epub and Kindle
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.
| Author | : Rodrigo Rojas Moraleda |
| Publisher | : CRC Press |
| Total Pages | : 116 |
| Release | : 2019-07-12 |
| Genre | : Medical |
| ISBN | : 0429810997 |
Download Computational Topology for Biomedical Image and Data Analysis Book in PDF, Epub and Kindle
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
| Author | : Reinhard Klette |
| Publisher | : Morgan Kaufmann |
| Total Pages | : 676 |
| Release | : 2004-08-06 |
| Genre | : Computers |
| ISBN | : 1558608613 |
Download Digital Geometry Book in PDF, Epub and Kindle
The first book on digital geometry by the leaders in the field.
| Author | : Thomas Nowotny |
| Publisher | : Frontiers Media SA |
| Total Pages | : 253 |
| Release | : 2022-02-23 |
| Genre | : Science |
| ISBN | : 2889745015 |
Download Advances in Computational Neuroscience Book in PDF, Epub and Kindle
| Author | : Massimo Ferri |
| Publisher | : Springer |
| Total Pages | : 166 |
| Release | : 2012-06-13 |
| Genre | : Computers |
| ISBN | : 3642302386 |
Download Computational Topology in Image Context Book in PDF, Epub and Kindle
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.
| Author | : Alexandra Bac |
| Publisher | : Springer |
| Total Pages | : 310 |
| Release | : 2016-06-01 |
| Genre | : Computers |
| ISBN | : 331939441X |
Download Computational Topology in Image Context Book in PDF, Epub and Kindle
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.
| Author | : Susanta Kumar Paikray |
| Publisher | : Springer Nature |
| Total Pages | : 322 |
| Release | : 2021-06-28 |
| Genre | : Technology & Engineering |
| ISBN | : 9811614024 |
Download New Trends in Applied Analysis and Computational Mathematics Book in PDF, Epub and Kindle
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.
| Author | : Hemen Dutta |
| Publisher | : American Mathematical Society |
| Total Pages | : 174 |
| Release | : 2023-07-07 |
| Genre | : Mathematics |
| ISBN | : 1470469650 |
Download Mathematical Modelling Book in PDF, Epub and Kindle
This volume is a collection of chapters that present key ideas and theories, as well as their rigorous applications, required for the development of mathematical models in areas such as travelling waves, epidemiology, the chemotaxis system, atrial fibrillation, and vortex nerve complexes. The techniques, methodologies and approaches adopted in this book have relevance in several other fields including physics, biology, and sociology. Each chapter should also assist readers in comfortably comprehending the related and underlying ideas. The companion volume (Contemporary Mathematics, Volume 786) is devoted to principle and theory.
| Author | : Yu-Jin Zhang |
| Publisher | : Springer Nature |
| Total Pages | : 480 |
| Release | : |
| Genre | : Computer vision |
| ISBN | : 9811976031 |
Download 3D Computer Vision Book in PDF, Epub and Kindle
Zusammenfassung: This book offers a comprehensive and unbiased introduction to 3D Computer Vision, ranging from its foundations and essential principles to advanced methodologies and technologies. Divided into 11 chapters, it covers the main workflow of 3D computer vision as follows: camera imaging and calibration models; various modes and means of 3D image acquisition; binocular, trinocular and multi-ocular stereo vision matching techniques; monocular single-image and multi-image scene restoration methods; point cloud data processing and modeling; simultaneous location and mapping; generalized image and scene matching; and understanding spatial-temporal behavior. Each topic is addressed in a uniform manner: the dedicated chapter first covers the essential concepts and basic principles before presenting a selection of typical, specific methods and practical techniques. In turn, it introduces readers to the most important recent developments, especially in the last three years. This approach allows them to quickly familiarize themselves with the subject, implement the techniques discussed, and design or improve their own methods for specific applications. The book can be used as a textbook for graduate courses in computer science, computer engineering, electrical engineering, data science, and related subjects. It also offers a valuable reference guide for researchers and practitioners alike
| Author | : Valentin E. Brimkov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 430 |
| Release | : 2012-05-20 |
| Genre | : Technology & Engineering |
| ISBN | : 940074174X |
Download Digital Geometry Algorithms Book in PDF, Epub and Kindle
Digital geometry emerged as an independent discipline in the second half of the last century. It deals with geometric properties of digital objects and is developed with the unambiguous goal to provide rigorous theoretical foundations for devising new advanced approaches and algorithms for various problems of visual computing. Different aspects of digital geometry have been addressed in the literature. This book is the first one that explicitly focuses on the presentation of the most important digital geometry algorithms. Each chapter provides a brief survey on a major research area related to the general volume theme, description and analysis of related fundamental algorithms, as well as new original contributions by the authors. Every chapter contains a section in which interesting open problems are addressed.
