Topological Methods In Data Analysis And Visualization Iii

Topological Methods In Data Analysis And Visualization Iii Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Topological Methods In Data Analysis And Visualization Iii book. This book definitely worth reading, it is an incredibly well-written.

Topological Methods in Data Analysis and Visualization III

Peer-Timo Bremer,Ingrid Hotz,Valerio Pascucci,Ronald Peikert
Topological Methods in Data Analysis and Visualization III Book PDF

Author : Peer-Timo Bremer,Ingrid Hotz,Valerio Pascucci,Ronald Peikert
Publisher : Springer Science & Business
Page : 279 pages
File Size : 48,7 Mb
Release : 2014-04-22
Category : Mathematics
ISBN : 9783319040998

Get Book

Topological Methods in Data Analysis and Visualization III by Peer-Timo Bremer,Ingrid Hotz,Valerio Pascucci,Ronald Peikert Pdf

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.

Topological Methods in Data Analysis and Visualization

Valerio Pascucci,Xavier Tricoche,Hans Hagen,Julien Tierny
Topological Methods in Data Analysis and Visualization Book PDF

Author : Valerio Pascucci,Xavier Tricoche,Hans Hagen,Julien Tierny
Publisher : Springer Science & Business Media
Page : 265 pages
File Size : 53,9 Mb
Release : 2010-11-23
Category : Mathematics
ISBN : 9783642150142

Get Book

Topological Methods in Data Analysis and Visualization by Valerio Pascucci,Xavier Tricoche,Hans Hagen,Julien Tierny Pdf

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 Methods in Data Analysis and Visualization II

Ronald Peikert,Helwig Hauser,Hamish Carr,Raphael Fuchs
Topological Methods in Data Analysis and Visualization II Book PDF

Author : Ronald Peikert,Helwig Hauser,Hamish Carr,Raphael Fuchs
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 49,7 Mb
Release : 2012-01-10
Category : Mathematics
ISBN : 9783642231759

Get Book

Topological Methods in Data Analysis and Visualization II by Ronald Peikert,Helwig Hauser,Hamish Carr,Raphael Fuchs Pdf

When scientists analyze datasets in a search for underlying phenomena, patterns or causal factors, their first step is often an automatic or semi-automatic search for structures in the data. Of these feature-extraction methods, topological ones stand out due to their solid mathematical foundation. Topologically defined structures—as found in scalar, vector and tensor fields—have proven their merit in a wide range of scientific domains, and scientists have found them to be revealing in subjects such as physics, engineering, and medicine. Full of state-of-the-art research and contemporary hot topics in the subject, this volume is a selection of peer-reviewed papers originally presented at the fourth Workshop on Topology-Based Methods in Data Analysis and Visualization, TopoInVis 2011, held in Zurich, Switzerland. The workshop brought together many of the leading lights in the field for a mixture of formal presentations and discussion. One topic currently generating a great deal of interest, and explored in several chapters here, is the search for topological structures in time-dependent flows, and their relationship with Lagrangian coherent structures. Contributors also focus on discrete topologies of scalar and vector fields, and on persistence-based simplification, among other issues of note. The new research results included in this volume relate to all three key areas in data analysis—theory, algorithms and applications.

Topological Data Analysis for Scientific Visualization

Julien Tierny
Topological Data Analysis for Scientific Visualization Book PDF

Author : Julien Tierny
Publisher : Springer
Page : 150 pages
File Size : 55,9 Mb
Release : 2018-01-16
Category : Mathematics
ISBN : 9783319715070

Get Book

Topological Data Analysis for Scientific Visualization by Julien Tierny Pdf

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 VI

Ingrid Hotz,Talha Bin Masood,Filip Sadlo,Julien Tierny
Topological Methods in Data Analysis and Visualization VI Book PDF

Author : Ingrid Hotz,Talha Bin Masood,Filip Sadlo,Julien Tierny
Publisher : Springer Nature
Page : 372 pages
File Size : 42,9 Mb
Release : 2021-09-28
Category : Mathematics
ISBN : 9783030835002

Get Book

Topological Methods in Data Analysis and Visualization VI by Ingrid Hotz,Talha Bin Masood,Filip Sadlo,Julien Tierny Pdf

This book is a result of a workshop, the 8th of the successful TopoInVis workshop series, held in 2019 in Nyköping, Sweden. The workshop regularly gathers some of the world’s leading experts in this field. Thereby, it provides a forum for discussions on the latest advances in the field with a focus on finding practical solutions to open problems in topological data analysis for visualization. The contributions provide introductory and novel research articles including new concepts for the analysis of multivariate and time-dependent data, robust computational approaches for the extraction and approximations of topological structures with theoretical guarantees, and applications of topological scalar and vector field analysis for visualization. The applications span a wide range of scientific areas comprising climate science, material sciences, fluid dynamics, and astronomy. In addition, community efforts with respect to joint software development are reported and discussed.

Topological Methods in Data Analysis and Visualization V

Hamish Carr,Issei Fujishiro,Filip Sadlo,Shigeo Takahashi
Topological Methods in Data Analysis and Visualization V Book PDF

Author : Hamish Carr,Issei Fujishiro,Filip Sadlo,Shigeo Takahashi
Publisher : Springer Nature
Page : 264 pages
File Size : 40,9 Mb
Release : 2020-12-10
Category : Mathematics
ISBN : 9783030430368

Get Book

Topological Methods in Data Analysis and Visualization V by Hamish Carr,Issei Fujishiro,Filip Sadlo,Shigeo Takahashi Pdf

This collection of peer-reviewed workshop papers provides comprehensive coverage of cutting-edge research into 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 book also addresses core research challenges such as the representation of large and complex datasets, and integrating numerical methods with robust combinatorial algorithms. In keeping with the focus of the TopoInVis 2017 Workshop, the contributions reflect the latest advances in finding experimental solutions to open problems in the sector. They provide an essential snapshot of state-of-the-art research, helping researchers to keep abreast of the latest developments and providing a basis for future work. Gathering papers by some of the world’s leading experts on topological techniques, the book represents a valuable contribution to a field of growing importance, with applications in disciplines ranging from engineering to medicine.

Topological Methods in Data Analysis and Visualization IV

Hamish Carr,Christoph Garth,Tino Weinkauf
Topological Methods in Data Analysis and Visualization IV Book PDF

Author : Hamish Carr,Christoph Garth,Tino Weinkauf
Publisher : Springer
Page : 363 pages
File Size : 54,8 Mb
Release : 2017-06-01
Category : Mathematics
ISBN : 9783319446844

Get Book

Topological Methods in Data Analysis and Visualization IV by Hamish Carr,Christoph Garth,Tino Weinkauf Pdf

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.

Topology-Based Methods in Visualization II

Hans-Christian Hege,Konrad Polthier,Gerik Scheuermann
Topology Based Methods in Visualization II Book PDF

Author : Hans-Christian Hege,Konrad Polthier,Gerik Scheuermann
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 49,7 Mb
Release : 2009-02-07
Category : Mathematics
ISBN : 9783540886068

Get Book

Topology-Based Methods in Visualization II by Hans-Christian Hege,Konrad Polthier,Gerik Scheuermann Pdf

Visualization research aims to provide insight into large, complicated data sets and the phenomena behind them. While there are di?erent methods of reaching this goal, topological methods stand out for their solid mathem- ical foundation, which guides the algorithmic analysis and its presentation. Topology-based methods in visualization have been around since the beg- ning of visualization as a scienti?c discipline, but they initially played only a minor role. In recent years,interest in topology-basedvisualization has grown andsigni?cantinnovationhasledto newconceptsandsuccessfulapplications. The latest trends adapt basic topological concepts to precisely express user interests in topological properties of the data. This book is the outcome of the second workshop on Topological Methods in Visualization, which was held March 4–6, 2007 in Kloster Nimbschen near Leipzig,Germany.Theworkshopbroughttogethermorethan40international researchers to present and discuss the state of the art and new trends in the ?eld of topology-based visualization. Two inspiring invited talks by George Haller, MIT, and Nelson Max, LLNL, were accompanied by 14 presentations by participants and two panel discussions on current and future trends in visualization research. This book contains thirteen research papers that have been peer-reviewed in a two-stage review process. In the ?rst phase, submitted papers where peer-reviewed by the international program committee. After the workshop accepted papers went through a revision and a second review process taking into account comments from the ?rst round and discussions at the workshop. Abouthalfthepapersconcerntopology-basedanalysisandvisualizationof ?uid?owsimulations;twopapersconcernmoregeneraltopologicalalgorithms, while the remaining papers discuss topology-based visualization methods in application areas like biology, medical imaging and electromagnetism.

Topology-based Methods in Visualization

Helwig Hauser,Hans Hagen,Holger Theisel
Topology based Methods in Visualization Book PDF

Author : Helwig Hauser,Hans Hagen,Holger Theisel
Publisher : Springer Science & Business Media
Page : 222 pages
File Size : 42,7 Mb
Release : 2007-05-24
Category : Mathematics
ISBN : 9783540708230

Get Book

Topology-based Methods in Visualization by Helwig Hauser,Hans Hagen,Holger Theisel Pdf

This book presents 13 peer-reviewed papers as written results from the 2005 workshop "Topology-Based Methods in Visualization" that was initiated to enable additional stimulation in this field. It contains a survey of the state-of-the-art, as well original work by leading experts that has not been published before, spanning both theory and applications. It captures key concepts and novel ideas and serves as an overview of current trends in its subject.

Computational Topology for Data Analysis

Tamal Krishna Dey,Yusu Wang
Computational Topology for Data Analysis Book PDF

Author : Tamal Krishna Dey,Yusu Wang
Publisher : Cambridge University Press
Page : 455 pages
File Size : 55,6 Mb
Release : 2022-03-10
Category : Computers
ISBN : 9781009098168

Get Book

Computational Topology for Data Analysis by Tamal Krishna Dey,Yusu Wang Pdf

This book provides a computational and algorithmic foundation for techniques in topological data analysis, with examples and exercises.

Topological and Statistical Methods for Complex Data

Janine Bennett,Fabien Vivodtzev,Valerio Pascucci
Topological and Statistical Methods for Complex Data Book PDF

Author : Janine Bennett,Fabien Vivodtzev,Valerio Pascucci
Publisher : Springer
Page : 297 pages
File Size : 53,7 Mb
Release : 2014-11-19
Category : Mathematics
ISBN : 9783662449004

Get Book

Topological and Statistical Methods for Complex Data by Janine Bennett,Fabien Vivodtzev,Valerio Pascucci Pdf

This book contains papers presented at the Workshop on the Analysis of Large-scale, High-Dimensional, and Multi-Variate Data Using Topology and Statistics, held in Le Barp, France, June 2013. It features the work of some of the most prominent and recognized leaders in the field who examine challenges as well as detail solutions to the analysis of extreme scale data. The book presents new methods that leverage the mutual strengths of both topological and statistical techniques to support the management, analysis, and visualization of complex data. It covers both theory and application and provides readers with an overview of important key concepts and the latest research trends. Coverage in the book includes multi-variate and/or high-dimensional analysis techniques, feature-based statistical methods, combinatorial algorithms, scalable statistics algorithms, scalar and vector field topology, and multi-scale representations. In addition, the book details algorithms that are broadly applicable and can be used by application scientists to glean insight from a wide range of complex data sets.

Persistence Theory: From Quiver Representations to Data Analysis

Steve Y. Oudot
Persistence Theory From Quiver Representations to Data Analysis Book PDF

Author : Steve Y. Oudot
Publisher : American Mathematical Soc.
Page : 218 pages
File Size : 55,5 Mb
Release : 2017-05-17
Category : Electronic
ISBN : 9781470434434

Get Book

Persistence Theory: From Quiver Representations to Data Analysis by Steve Y. Oudot Pdf

Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of the subject, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis. The level of detail of the exposition has been set so as to keep a survey style, while providing sufficient insights into the proofs so the reader can understand the mechanisms at work. The book is organized into three parts. The first part is dedicated to the foundations of persistence and emphasizes its connection to quiver representation theory. The second part focuses on its connection to applications through a few selected topics. The third part provides perspectives for both the theory and its applications. The book can be used as a text for a course on applied topology or data analysis.

Modeling, Analysis, and Visualization of Anisotropy

Thomas Schultz,Evren Özarslan,Ingrid Hotz
Modeling Analysis and Visualization of Anisotropy Book PDF

Author : Thomas Schultz,Evren Özarslan,Ingrid Hotz
Publisher : Springer
Page : 407 pages
File Size : 50,9 Mb
Release : 2017-10-14
Category : Mathematics
ISBN : 9783319613581

Get Book

Modeling, Analysis, and Visualization of Anisotropy by Thomas Schultz,Evren Özarslan,Ingrid Hotz Pdf

This book focuses on the modeling, processing and visualization of anisotropy, irrespective of the context in which it emerges, using state-of-the-art mathematical tools. As such, it differs substantially from conventional reference works, which are centered on a particular application. It covers the following topics: (i) the geometric structure of tensors, (ii) statistical methods for tensor field processing, (iii) challenges in mapping neural connectivity and structural mechanics, (iv) processing of uncertainty, and (v) visualizing higher-order representations. In addition to original research contributions, it provides insightful reviews. This multidisciplinary book is the sixth in a series that aims to foster scientific exchange between communities employing tensors and other higher-order representations of directionally dependent data. A significant number of the chapters were co-authored by the participants of the workshop titled Multidisciplinary Approaches to Multivalued Data: Modeling, Visualization, Analysis, which was held in Dagstuhl, Germany in April 2016. It offers a valuable resource for those working in the field of multi-directional data, vital inspirations for the development of new models, and essential analysis and visualization techniques, thus furthering the state-of-the-art in studies involving anisotropy.

Mathematical Software -- ICMS 2014

Hoon Hong,Chee Yap
Mathematical Software ICMS 2014 Book PDF

Author : Hoon Hong,Chee Yap
Publisher : Springer
Page : 735 pages
File Size : 52,5 Mb
Release : 2014-08-01
Category : Computers
ISBN : 9783662441992

Get Book

Mathematical Software -- ICMS 2014 by Hoon Hong,Chee Yap Pdf

This book constitutes the proceedings of the 4th International Conference on Mathematical Software, ICMS 2014, held in Seoul, South Korea, in August 2014. The 108 papers included in this volume were carefully reviewed and selected from 150 submissions. The papers are organized in topical sections named: invited; exploration; group; coding; topology; algebraic; geometry; surfaces; reasoning; special; Groebner; triangular; parametric; interfaces and general.

Geometric and Topological Inference

Jean-Daniel Boissonnat,Frédéric Chazal,Mariette Yvinec
Geometric and Topological Inference Book PDF

Author : Jean-Daniel Boissonnat,Frédéric Chazal,Mariette Yvinec
Publisher : Cambridge University Press
Page : 247 pages
File Size : 49,6 Mb
Release : 2018-09-27
Category : Computers
ISBN : 9781108419390

Get Book

Geometric and Topological Inference by Jean-Daniel Boissonnat,Frédéric Chazal,Mariette Yvinec Pdf

A rigorous introduction to geometric and topological inference, for anyone interested in a geometric approach to data science.