[PDF] Computational Topology

Computational Topology PDF
Author: Herbert Edelsbrunner
Publisher: American Mathematical Soc.
ISBN: 0821849255
Size: 24.34 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 241
View: 4660

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Computational Topology

by Herbert Edelsbrunner, release date 2010, Computational Topology Books available in PDF, EPUB, Mobi Format. Download Computational Topology books, Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering. The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.




[PDF] Research In Computational Topology

Research in Computational Topology PDF
Author: Erin Wolf Chambers
Publisher: Springer
ISBN: 3319895931
Size: 37.40 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 202
View: 377

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Research In Computational Topology

by Erin Wolf Chambers, release date 2018-07-30, Research In Computational Topology Books available in PDF, EPUB, Mobi Format. Download Research In Computational Topology books, Based on the first Workshop for Women in Computational Topology that took place in 2016, this volume assembles new research and applications in computational topology. Featured articles range over the breadth of the discipline, including topics such as surface reconstruction, topological data analysis, persistent homology, algorithms, and surface-embedded graphs. Applications in graphics, medical imaging, and GIS are discussed throughout the book. Four of the papers in this volume are the product of working groups that were established and developed during the workshop. Additional papers were also solicited from the broader Women in Computational Topology network. The volume is accessible to a broad range of researchers, both within the field of computational topology and in related disciplines such as statistics, computational biology, and machine learning.




[PDF] Computational Topology In Image Context

Computational Topology in Image Context PDF
Author: Rebeca Marfil
Publisher: Springer
ISBN: 3030108287
Size: 37.60 MB
Format: PDF, ePub
Category : Computers
Languages : en
Pages : 191
View: 6828

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Computational Topology In Image Context

by Rebeca Marfil, release date 2019-02-15, Computational Topology In Image Context Books available in PDF, EPUB, Mobi Format. Download Computational Topology In Image Context books, This book constitutes the proceedings of the 7th International Workshop on Computational Topology in Image Context, CTIC 2019, held in Málaga, Spain, in January 2019. The 14 papers presented in this volume were carefully reviewed and selected from 21 submissions. Papers deal with theoretical issues but most of them put the attention on the applicability of concepts and algorithms. These were designed to deal with objects and images, but also with the speech signal. The final application must be for instance in the medical domain or in the robotics one.




[PDF] Computational Topology In Image Context

Computational Topology in Image Context PDF
Author: Massimo Ferri
Publisher: Springer
ISBN: 3642302386
Size: 33.33 MB
Format: PDF, ePub
Category : Computers
Languages : en
Pages : 157
View: 4935

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Computational Topology In Image Context

by Massimo Ferri, release date 2012-06-13, Computational Topology In Image Context Books available in PDF, EPUB, Mobi Format. Download Computational Topology In Image Context books, 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.




[PDF] Computational Topology In Image Context

Computational Topology in Image Context PDF
Author: Alexandra Bac
Publisher: Springer
ISBN: 9783319394404
Size: 24.52 MB
Format: PDF, Mobi
Category : Computers
Languages : en
Pages : 303
View: 2213

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Computational Topology In Image Context

by Alexandra Bac, release date 2016-06-02, Computational Topology In Image Context Books available in PDF, EPUB, Mobi Format. Download Computational Topology In Image Context books, 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.




[PDF] Computational Topology For Biomedical Image And Data Analysis

Computational Topology for Biomedical Image and Data Analysis PDF
Author: Rodrigo Rojas Moraleda
Publisher: CRC Press
ISBN: 0429810989
Size: 44.38 MB
Format: PDF, ePub, Docs
Category : Medical
Languages : en
Pages : 116
View: 6180

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Computational Topology For Biomedical Image And Data Analysis

by Rodrigo Rojas Moraleda, release date 2019-07-12, Computational Topology For Biomedical Image And Data Analysis Books available in PDF, EPUB, Mobi Format. Download Computational Topology For Biomedical Image And Data Analysis books, 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




[PDF] Computational Geometry Topology And Physics Of Digital Images With Applications

Computational Geometry  Topology and Physics of Digital Images with Applications PDF
Author: James F. Peters
Publisher: Springer Nature
ISBN: 303022192X
Size: 51.51 MB
Format: PDF, ePub
Category : Technology & Engineering
Languages : en
Pages : 440
View: 5669

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Computational Geometry Topology And Physics Of Digital Images With Applications

by James F. Peters, release date 2019-10-03, Computational Geometry Topology And Physics Of Digital Images With Applications Books available in PDF, EPUB, Mobi Format. Download Computational Geometry Topology And Physics Of Digital Images With Applications books, 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.




[PDF] Advances In Applied And Computational Topology

Advances in Applied and Computational Topology PDF
Author: American Mathematical Society. Short Course on Computational Topology
Publisher: American Mathematical Soc.
ISBN: 0821853279
Size: 35.82 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 232
View: 6652

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Advances In Applied And Computational Topology

by American Mathematical Society. Short Course on Computational Topology, release date 2012-07-05, Advances In Applied And Computational Topology Books available in PDF, EPUB, Mobi Format. Download Advances In Applied And Computational Topology books, What is the shape of data? How do we describe flows? Can we count by integrating? How do we plan with uncertainty? What is the most compact representation? These questions, while unrelated, become similar when recast into a computational setting. Our input is a set of finite, discrete, noisy samples that describes an abstract space. Our goal is to compute qualitative features of the unknown space. It turns out that topology is sufficiently tolerant to provide us with robust tools. This volume is based on lectures delivered at the 2011 AMS Short Course on Computational Topology, held January 4-5, 2011 in New Orleans, Louisiana. The aim of the volume is to provide a broad introduction to recent techniques from applied and computational topology. Afra Zomorodian focuses on topological data analysis via efficient construction of combinatorial structures and recent theories of persistence. Marian Mrozek analyzes asymptotic behavior of dynamical systems via efficient computation of cubical homology. Justin Curry, Robert Ghrist, and Michael Robinson present Euler Calculus, an integral calculus based on the Euler characteristic, and apply it to sensor and network data aggregation. Michael Erdmann explores the relationship of topology, planning, and probability with the strategy complex. Jeff Erickson surveys algorithms and hardness results for topological optimization problems.




[PDF] A Short Course In Computational Geometry And Topology

A Short Course in Computational Geometry and Topology PDF
Author: Herbert Edelsbrunner
Publisher: Springer
ISBN: 9783319059563
Size: 72.84 MB
Format: PDF
Category : Computers
Languages : en
Pages : 110
View: 2220

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A Short Course In Computational Geometry And Topology

by Herbert Edelsbrunner, release date 2014-05-12, A Short Course In Computational Geometry And Topology Books available in PDF, EPUB, Mobi Format. Download A Short Course In Computational Geometry And Topology books, This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams and Delaunay triangulations, then it presents the theory of alpha complexes which play a crucial role in biology. The central part of the book is the homology theory and their computation, including the theory of persistence which is indispensable for applications, e.g. shape reconstruction. The target audience comprises researchers and practitioners in mathematics, biology, neuroscience and computer science, but the book may also be beneficial to graduate students of these fields.




[PDF] Computational Topology For Biomedical Image And Data Analysis

Computational Topology for Biomedical Image and Data Analysis PDF
Author: Rodrigo Rojas Moraleda
Publisher: CRC Press
ISBN: 0429810997
Size: 53.48 MB
Format: PDF, Kindle
Category : Medical
Languages : en
Pages : 116
View: 5522

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Computational Topology For Biomedical Image And Data Analysis

by Rodrigo Rojas Moraleda, release date 2019-07-12, Computational Topology For Biomedical Image And Data Analysis Books available in PDF, EPUB, Mobi Format. Download Computational Topology For Biomedical Image And Data Analysis books, 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