Topological Modeling for Visualization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Modeling for Visualization write by Anatolij T. Fomenko. This book was released on 2013-04-17. Topological Modeling for Visualization available in PDF, EPUB and Kindle. The flood of information through various computer networks such as the In ternet characterizes the world situation in which we live. Information worlds, often called virtual spaces and cyberspaces, have been formed on computer networks. The complexity of information worlds has been increasing almost exponentially through the exponential growth of computer networks. Such nonlinearity in growth and in scope characterizes information worlds. In other words, the characterization of nonlinearity is the key to understanding, utiliz ing and living with the flood of information. The characterization approach is by characteristic points such as peaks, pits, and passes, according to the Morse theory. Another approach is by singularity signs such as folds and cusps. Atoms and molecules are the other fundamental characterization ap proach. Topology and geometry, including differential topology, serve as the framework for the characterization. Topological Modeling for Visualization is a textbook for those interested in this characterization, to understand what it is and how to do it. Understanding is the key to utilizing information worlds and to living with the changes in the real world. Writing this textbook required careful preparation by the authors. There are complex mathematical concepts that require designing a writing style that facilitates understanding and appeals to the reader. To evolve a style, we set as a main goal of this book the establishment of a link between the theoretical aspects of modern geometry and topology, on the one hand, and experimental computer geometry, on the other.
Topological Methods in Data Analysis and Visualization
Topological Methods in Data Analysis and Visualization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Methods in Data Analysis and Visualization write by Valerio Pascucci. This book was released on 2010-11-23. Topological Methods in Data Analysis and Visualization available in PDF, EPUB and Kindle. Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation of large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc. . The editors have brought together the most prominent and best recognized researchers in the field of topology-based data analysis and visualization for a joint discussion and scientific exchange of the latest results in the field. This book contains the best 20 peer-reviewed papers resulting from the discussions and presentations at the third workshop on "Topological Methods in Data Analysis and Visualization", held 2009 in Snowbird, Utah, US. The 2009 "TopoInVis" workshop follows the two successful workshops in 2005 (Slovakia) and 2007 (Germany).
Topological Data Analysis for Scientific Visualization
Topological Data Analysis for Scientific Visualization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Data Analysis for Scientific Visualization write by Julien Tierny. This book was released on 2018-01-16. Topological Data Analysis for Scientific Visualization available in PDF, EPUB and Kindle. Combining theoretical and practical aspects of topology, this book provides a comprehensive and self-contained introduction to topological methods for the analysis and visualization of scientific data. Theoretical concepts are presented in a painstaking but intuitive manner, with numerous high-quality color illustrations. Key algorithms for the computation and simplification of topological data representations are described in detail, and their application is carefully demonstrated in a chapter dedicated to concrete use cases. With its fine balance between theory and practice, "Topological Data Analysis for Scientific Visualization" constitutes an appealing introduction to the increasingly important topic of topological data analysis for lecturers, students and researchers.
Topological Methods in Data Analysis and Visualization IV
Topological Methods in Data Analysis and Visualization IV - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Methods in Data Analysis and Visualization IV write by Hamish Carr. This book was released on 2017-06-01. Topological Methods in Data Analysis and Visualization IV available in PDF, EPUB and Kindle. This book presents contributions on topics ranging from novel applications of topological analysis for particular problems, through studies of the effectiveness of modern topological methods, algorithmic improvements on existing methods, and parallel computation of topological structures, all the way to mathematical topologies not previously applied to data analysis. Topological methods are broadly recognized as valuable tools for analyzing the ever-increasing flood of data generated by simulation or acquisition. This is particularly the case in scientific visualization, where the data sets have long since surpassed the ability of the human mind to absorb every single byte of data. The biannual TopoInVis workshop has supported researchers in this area for a decade, and continues to serve as a vital forum for the presentation and discussion of novel results in applications in the area, creating a platform to disseminate knowledge about such implementations throughout and beyond the community. The present volume, resulting from the 2015 TopoInVis workshop held in Annweiler, Germany, will appeal to researchers in the fields of scientific visualization and mathematics, domain scientists with an interest in advanced visualization methods, and developers of visualization software systems.
Topological Methods in Data Analysis and Visualization III
Topological Methods in Data Analysis and Visualization III - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Methods in Data Analysis and Visualization III write by Peer-Timo Bremer. This book was released on 2014-04-22. Topological Methods in Data Analysis and Visualization III available in PDF, EPUB and Kindle. This collection of peer-reviewed conference papers provides comprehensive coverage of cutting-edge research in topological approaches to data analysis and visualization. It encompasses the full range of new algorithms and insights, including fast homology computation, comparative analysis of simplification techniques, and key applications in materials and medical science. The volume also features material on core research challenges such as the representation of large and complex datasets and integrating numerical methods with robust combinatorial algorithms. Reflecting the focus of the TopoInVis 2013 conference, the contributions evince the progress currently being made on finding experimental solutions to open problems in the sector. They provide an inclusive snapshot of state-of-the-art research that enables researchers to keep abreast of the latest developments and provides a foundation for future progress. With papers by some of the world’s leading experts in topological techniques, this volume is a major contribution to the literature in a field of growing importance with applications in disciplines that range from engineering to medicine.
