Reeb Graph Based 3d Shape Modeling And Applications

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Reeb Graph Based 3D Shape Modeling and Applications

Author : Julien Tierny
Publisher :
ISBN 13 :
Total Pages : 249 pages
Book Rating : 4.:/5 (69 download)

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Book Synopsis Reeb Graph Based 3D Shape Modeling and Applications by : Julien Tierny

Download or read book Reeb Graph Based 3D Shape Modeling and Applications written by Julien Tierny and published by . This book was released on 2008 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Avec le développement récent des technologies 3D, les formes 3D sont devenues un type de données multimedia interactives de première importance. Leur représentation la plus courante, le maillage de polygones, souffre cependant de grande variabilité face à des transformations canoniques préservant la forme. Il est donc nécessaire de concevoir des techniques de modélisation intrinsèque de forme. Dans cette thèse, nous explorons la modélisation topologique par l'étude de structures basées sur les graphes de Reeb. En particulier, nous introduisons une nouvelle abstraction de forme, appelée squelette topologique avancé, qui permet non seulement l'étude de l'évolution topologique des lignes de niveau de fonctions de Morse mais aussi l'étude de leur évolution géométrique. Nous démontrons l'utilité de cette représentation intrinsèque de forme dans trois problèmes de recherche liés à l'Informatique Graphique et à la Vision par Ordinateur.Tout d'abord, nous introduisons la notion de calcul géométrique sur les graphes de Reeb pour le calcul automatique et stable de squelettes de contrôle pour la manipulation interactive de forme. Ensuite, en introduisant les notions de cartes de Reeb et de motifs de Reeb, nous proposons une nouvelle méthode pour l'estimation de similarité partielle entre formes 3D. Nous montrons que cette approche dépasse les méthodes participant au concours international de reconnaissance de forme 2007 (SHREC 2007) par un gain de 14%. Enfin, nous présentons deux techniques permettant de fournir une décomposition fonctionnelle d'une forme 3D, à la fois en considérant des heuristiques issues de la théorie de la perception humaine et des données 3D variant dans le temps.

Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis

Author : Jean-Luc Mari
Publisher : John Wiley & Sons
ISBN 13 : 1786300419
Total Pages : 194 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis by : Jean-Luc Mari

Download or read book Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis written by Jean-Luc Mari and published by John Wiley & Sons. This book was released on 2020-01-02 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three-dimensional surface meshes are the most common discrete representation of the exterior of a virtual shape. Extracting relevant geometric or topological features from them can simplify the way objects are looked at, help with their recognition, and facilitate description and categorization according to specific criteria. This book adopts the point of view of discrete mathematics, the aim of which is to propose discrete counterparts to concepts mathematically defined in continuous terms. It explains how standard geometric and topological notions of surfaces can be calculated and computed on a 3D surface mesh, as well as their use for shape analysis. Several applications are also detailed, demonstrating that each of them requires specific adjustments to fit with generic approaches. The book is intended not only for students, researchers and engineers in computer science and shape analysis, but also numerical geologists, anthropologists, biologists and other scientists looking for practical solutions to their shape analysis, understanding or recognition problems.

3D Imaging, Analysis and Applications

Author : Nick Pears
Publisher : Springer Science & Business Media
ISBN 13 : 144714063X
Total Pages : 506 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis 3D Imaging, Analysis and Applications by : Nick Pears

Download or read book 3D Imaging, Analysis and Applications written by Nick Pears and published by Springer Science & Business Media. This book was released on 2012-05-22 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3D Imaging, Analysis and Applications brings together core topics, both in terms of well-established fundamental techniques and the most promising recent techniques in the exciting field of 3D imaging and analysis. Many similar techniques are being used in a variety of subject areas and applications and the authors attempt to unify a range of related ideas. With contributions from high profile researchers and practitioners, the material presented is informative and authoritative and represents mainstream work and opinions within the community. Composed of three sections, the first examines 3D imaging and shape representation, the second, 3D shape analysis and processing, and the last section covers 3D imaging applications. Although 3D Imaging, Analysis and Applications is primarily a graduate text, aimed at masters-level and doctoral-level research students, much material is accessible to final-year undergraduate students. It will also serve as a reference text for professional academics, people working in commercial research and development labs and industrial practitioners.

Topological Data Analysis for Scientific Visualization

Author : Julien Tierny
Publisher : Springer
ISBN 13 : 3319715070
Total Pages : 158 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Topological Data Analysis for Scientific Visualization by : Julien Tierny

Download or read book Topological Data Analysis for Scientific Visualization written by Julien Tierny and published by Springer. This book was released on 2018-01-16 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Three-Dimensional Model Analysis and Processing

Author : Faxin Yu
Publisher : Springer Science & Business Media
ISBN 13 : 3642126510
Total Pages : 434 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Three-Dimensional Model Analysis and Processing by : Faxin Yu

Download or read book Three-Dimensional Model Analysis and Processing written by Faxin Yu and published by Springer Science & Business Media. This book was released on 2011-02-03 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the increasing popularization of the Internet, together with the rapid development of 3D scanning technologies and modeling tools, 3D model databases have become more and more common in fields such as biology, chemistry, archaeology and geography. People can distribute their own 3D works over the Internet, search and download 3D model data, and also carry out electronic trade over the Internet. However, some serious issues are related to this as follows: (1) How to efficiently transmit and store huge 3D model data with limited bandwidth and storage capacity; (2) How to prevent 3D works from being pirated and tampered with; (3) How to search for the desired 3D models in huge multimedia databases. This book is devoted to partially solving the above issues. Compression is useful because it helps reduce the consumption of expensive resources, such as hard disk space and transmission bandwidth. On the downside, compressed data must be decompressed to be used, and this extra processing may be detrimental to some applications. 3D polygonal mesh (with geometry, color, normal vector and texture coordinate information), as a common surface representation, is now heavily used in various multimedia applications such as computer games, animations and simulation applications. To maintain a convincing level of realism, many applications require highly detailed mesh models. However, such complex models demand broad network bandwidth and much storage capacity to transmit and store. To address these problems, 3D mesh compression is essential for reducing the size of 3D model representation.

Mathematical Tools for Shape Analysis and Description

Author : Silvia Biasotti
Publisher : Springer Nature
ISBN 13 : 303179558X
Total Pages : 124 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Mathematical Tools for Shape Analysis and Description by : Silvia Biasotti

Download or read book Mathematical Tools for Shape Analysis and Description written by Silvia Biasotti and published by Springer Nature. This book was released on 2022-06-01 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a guide for researchers and practitioners to the new frontiers of 3D shape analysis and the complex mathematical tools most methods rely on. The target reader includes students, researchers and professionals with an undergraduate mathematics background, who wish to understand the mathematics behind shape analysis. The authors begin with a quick review of basic concepts in geometry, topology, differential geometry, and proceed to advanced notions of algebraic topology, always keeping an eye on the application of the theory, through examples of shape analysis methods such as 3D segmentation, correspondence, and retrieval. A number of research solutions in the field come from advances in pure and applied mathematics, as well as from the re-reading of classical theories and their adaptation to the discrete setting. In a world where disciplines (fortunately) have blurred boundaries, the authors believe that this guide will help to bridge the distance between theory and practice. Table of Contents: Acknowledgments / Figure Credits / About this Book / 3D Shape Analysis in a Nutshell / Geometry, Topology, and Shape Representation / Differential Geometry and Shape Analysis / Spectral Methods for Shape Analysis / Maps and Distances between Spaces / Algebraic Topology and Topology Invariants / Differential Topology and Shape Analysis / Reeb Graphs / Morse and Morse-Smale Complexes / Topological Persistence / Beyond Geometry and Topology / Resources / Bibliography / Authors' Biographies

Structural, Syntactic, and Statistical Pattern Recognition

Author : Niels da Vitoria Lobo
Publisher : Springer
ISBN 13 : 3540896899
Total Pages : 1029 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Structural, Syntactic, and Statistical Pattern Recognition by : Niels da Vitoria Lobo

Download or read book Structural, Syntactic, and Statistical Pattern Recognition written by Niels da Vitoria Lobo and published by Springer. This book was released on 2008-12-02 with total page 1029 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the Springer Lecture Notes in Computer Science (LNCS) series contains 98 papers presented at the S+SSPR 2008 workshops. S+SSPR 2008 was the sixth time that the SPR and SSPR workshops organized by Technical Committees, TC1 and TC2, of the International Association for Pattern Rec- nition (IAPR) wereheld as joint workshops. S+SSPR 2008was held in Orlando, Florida, the family entertainment capital of the world, on the beautiful campus of the University of Central Florida, one of the up and coming metropolitan universities in the USA. S+SSPR 2008 was held during December 4–6, 2008 only a few days before the 19th International Conference on Pattern Recog- tion(ICPR2008),whichwasheldin Tampa,onlytwo hoursawayfromOrlando, thus giving the opportunity of both conferences to attendees to enjoy the many attractions o?ered by two neighboring cities in the state of Florida. SPR 2008 and SSPR 2008 received a total of 175 paper submissions from many di?erent countries around the world, thus giving the workshop an int- national clout, as was the case for past workshops. This volume contains 98 accepted papers: 56 for oral presentations and 42 for poster presentations. In addition to parallel oral sessions for SPR and SSPR, there was also one joint oral session with papers of interest to both the SPR and SSPR communities. A recent trend that has emerged in the pattern recognition and machine lea- ing research communities is the study of graph-based methods that integrate statistical andstructural approaches.

3D Shape Analysis

Author : Hamid Laga
Publisher : John Wiley & Sons
ISBN 13 : 1119405106
Total Pages : 368 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis 3D Shape Analysis by : Hamid Laga

Download or read book 3D Shape Analysis written by Hamid Laga and published by John Wiley & Sons. This book was released on 2019-01-07 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth description of the state-of-the-art of 3D shape analysis techniques and their applications This book discusses the different topics that come under the title of "3D shape analysis". It covers the theoretical foundations and the major solutions that have been presented in the literature. It also establishes links between solutions proposed by different communities that studied 3D shape, such as mathematics and statistics, medical imaging, computer vision, and computer graphics. The first part of 3D Shape Analysis: Fundamentals, Theory, and Applications provides a review of the background concepts such as methods for the acquisition and representation of 3D geometries, and the fundamentals of geometry and topology. It specifically covers stereo matching, structured light, and intrinsic vs. extrinsic properties of shape. Parts 2 and 3 present a range of mathematical and algorithmic tools (which are used for e.g., global descriptors, keypoint detectors, local feature descriptors, and algorithms) that are commonly used for the detection, registration, recognition, classification, and retrieval of 3D objects. Both also place strong emphasis on recent techniques motivated by the spread of commodity devices for 3D acquisition. Part 4 demonstrates the use of these techniques in a selection of 3D shape analysis applications. It covers 3D face recognition, object recognition in 3D scenes, and 3D shape retrieval. It also discusses examples of semantic applications and cross domain 3D retrieval, i.e. how to retrieve 3D models using various types of modalities, e.g. sketches and/or images. The book concludes with a summary of the main ideas and discussions of the future trends. 3D Shape Analysis: Fundamentals, Theory, and Applications is an excellent reference for graduate students, researchers, and professionals in different fields of mathematics, computer science, and engineering. It is also ideal for courses in computer vision and computer graphics, as well as for those seeking 3D industrial/commercial solutions.

3D Video and Its Applications

Author : Takashi Matsuyama
Publisher : Springer Science & Business Media
ISBN 13 : 1447141202
Total Pages : 353 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis 3D Video and Its Applications by : Takashi Matsuyama

Download or read book 3D Video and Its Applications written by Takashi Matsuyama and published by Springer Science & Business Media. This book was released on 2012-05-31 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad review of state-of-the-art 3D video production technologies and applications. The text opens with a concise introduction to the field, before examining the design and calibration methods for multi-view camera systems, including practical implementation technologies. A range of algorithms are then described for producing 3D video from video data. A selection of 3D video applications are also demonstrated. Features: describes real-time synchronized multi-view video capture, and object tracking with a group of active cameras; discusses geometric and photometric camera calibration, and 3D video studio design with active cameras; examines 3D shape and motion reconstruction, texture mapping and image rendering, and lighting environment estimation; demonstrates attractive 3D visualization, visual contents analysis and editing, 3D body action analysis, and data compression; highlights the remaining challenges and the exciting avenues for future research in 3D video technology.

Computational Topology for Data Analysis

Author : Tamal Krishna Dey
Publisher : Cambridge University Press
ISBN 13 : 1009103199
Total Pages : 456 pages
Book Rating : 4.0/5 (91 download)

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Book Synopsis Computational Topology for Data Analysis by : Tamal Krishna Dey

Download or read book Computational Topology for Data Analysis written by Tamal Krishna Dey and published by Cambridge University Press. This book was released on 2022-03-10 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies and applicability. Providing a computational and algorithmic foundation for techniques in TDA, this comprehensive, self-contained text introduces students and researchers in mathematics and computer science to the current state of the field. The book features a description of mathematical objects and constructs behind recent advances, the algorithms involved, computational considerations, as well as examples of topological structures or ideas that can be used in applications. It provides a thorough treatment of persistent homology together with various extensions – like zigzag persistence and multiparameter persistence – and their applications to different types of data, like point clouds, triangulations, or graph data. Other important topics covered include discrete Morse theory, the Mapper structure, optimal generating cycles, as well as recent advances in embedding TDA within machine learning frameworks.

3D Object Processing

Author : Jean-Luc Dugelay
Publisher : John Wiley & Sons
ISBN 13 : 0470510781
Total Pages : 210 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis 3D Object Processing by : Jean-Luc Dugelay

Download or read book 3D Object Processing written by Jean-Luc Dugelay and published by John Wiley & Sons. This book was released on 2008-07-31 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The arrival, and continuing evolution, of high quality 3D objects has been made possible by recent progress in 3D scanner acquisition and 3D graphics rendering. With this increasing quality comes a corresponding increase in the size and complexity of the data files and the necessity for advances in compression techniques. Effective indexing to facilitate the retrieval of the 3D data is then required to efficiently store, search and recapture the objects that have been compressed. The application of 3D images in fields such as communications, medicine and the military also calls for copyright protection, or watermarking, to secure the data for transmission. Written by expert contributors, this timely text brings together the three important and complementary topics of compression, retrieval and watermarking techniques for 3D objects. 3D object processing applications are developing rapidly and this book tackles the challenges and opportunities presented, focusing on the secure transmission, sharing and searching of 3D objects on networks, and includes: an introduction to the commonly used 3D representation schemes; the characteristics, advantages and limitations of polygonal meshes, surface based models and volumetric models; 3D compression techniques; the 3D coding and decoding schemes for reducing the size of 3D data to reduce transmission time and minimize distortion; state of the art responses to the intrinsic challenges of building a 3D-model search engine, considering view-based, structural and full-3D approaches; watermarking techniques for ensuring intellectual property protection and content security without altering the visual quality of the 3D object. 3D Object Processing: Compression, Indexing and Watermarking is an invaluable resource for graduate students and researchers working in signal and image processing, computer aided design, animation and imaging systems. Practising engineers who want to expand their knowledge of 3D video objects, including data compression, indexing, security, and copyrighting of information, will also find this book of great use.

Graph-Based Representations in Pattern Recognition

Author : Andrea Torsello
Publisher : Springer Science & Business Media
ISBN 13 : 3642021247
Total Pages : 387 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Graph-Based Representations in Pattern Recognition by : Andrea Torsello

Download or read book Graph-Based Representations in Pattern Recognition written by Andrea Torsello and published by Springer Science & Business Media. This book was released on 2009-07-09 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition, GbRPR 2009, held in Venice, Italy in May 2009. The 37 revised full papers presented were carefully reviewed and selected from 47 submissions. The papers are organized in topical sections on graph-based representation and recognition, graph matching, graph clustering and classification, pyramids, combinatorial maps, and homologies, as well as graph-based segmentation.

Computational Topology in Image Context

Author : Alexandra Bac
Publisher : Springer
ISBN 13 : 331939441X
Total Pages : 310 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Computational Topology in Image Context by : Alexandra Bac

Download or read book Computational Topology in Image Context written by Alexandra Bac and published by Springer. This book was released on 2016-06-01 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Proceedings

Author :
Publisher :
ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Proceedings by :

Download or read book Proceedings written by and published by . This book was released on 2003 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Heterogeneous Spatial Data

Author : Giuseppe Patanè
Publisher : Springer Nature
ISBN 13 : 303102589X
Total Pages : 129 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Heterogeneous Spatial Data by : Giuseppe Patanè

Download or read book Heterogeneous Spatial Data written by Giuseppe Patanè and published by Springer Nature. This book was released on 2022-05-31 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: New data acquisition techniques are emerging and are providing fast and efficient means for multidimensional spatial data collection. Airborne LIDAR surveys, SAR satellites, stereo-photogrammetry and mobile mapping systems are increasingly used for the digital reconstruction of the environment. All these systems provide extremely high volumes of raw data, often enriched with other sensor data (e.g., beam intensity). Improving methods to process and visually analyze this massive amount of geospatial and user-generated data is crucial to increase the efficiency of organizations and to better manage societal challenges. Within this context, this book proposes an up-to-date view of computational methods and tools for spatio-temporal data fusion, multivariate surface generation, and feature extraction, along with their main applications for surface approximation and rainfall analysis. The book is intended to attract interest from different fields, such as computer vision, computer graphics, geomatics, and remote sensing, working on the common goal of processing 3D data. To this end, it presents and compares methods that process and analyze the massive amount of geospatial data in order to support better management of societal challenges through more timely and better decision making, independent of a specific data modeling paradigm (e.g., 2D vector data, regular grids or 3D point clouds). We also show how current research is developing from the traditional layered approach, adopted by most GIS softwares, to intelligent methods for integrating existing data sets that might contain important information on a geographical area and environmental phenomenon. These services combine traditional map-oriented visualization with fully 3D visual decision support methods and exploit semantics-oriented information (e.g., a-priori knowledge, annotations, segmentations) when processing, merging, and integrating big pre-existing data sets.

Advances in Engineering Research and Application

Author : Kai-Uwe Sattler
Publisher : Springer Nature
ISBN 13 : 3030374971
Total Pages : 753 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Advances in Engineering Research and Application by : Kai-Uwe Sattler

Download or read book Advances in Engineering Research and Application written by Kai-Uwe Sattler and published by Springer Nature. This book was released on 2019-11-30 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers the outcomes of the International Conference on Engineering Research and Applications (ICERA 2019), which was held at Thai Nguyen University of Technology, Vietnam, on December 1–2, 2019 and provided an international forum for disseminating the latest theories and practices in engineering research and applications. The conference focused on original research work in a broad range of areas, including Mechanical Engineering, Materials and Mechanics of Materials, Mechatronics and Micromechatronics, Automotive Engineering, Electrical and Electronics Engineering, and Information and Communication Technology. By sharing the latest advances in these fields, the book will help academics and professionals alike to revisit their thinking on sustainable development.

Geo-Topology

Author : Fivos Papadimitrou
Publisher : Springer Nature
ISBN 13 : 3031481852
Total Pages : 192 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Geo-Topology by : Fivos Papadimitrou

Download or read book Geo-Topology written by Fivos Papadimitrou and published by Springer Nature. This book was released on 2024-01-05 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geo-Topology is an exploration of the depth and breadth of the relationships between Geography and Topology, with applications ranging from Landscape Geography to Social Geography and from Spatial Analysis to Geospatial Technologies. It shows how topics of geographical research (landscapes, borders, spatial social relationships etc) can be examined by using mathematical concepts and methods of Topology, exposing the realm of geo-topological modelling and visualization through Point-Set Topology, Knot Theory, Reeb graphs, Topological Surfaces (i.e. Möbius bands and Klein bottles), Differential Topology, Network Analysis, Combinatorial Topology, Braid Theory and Ultrametric Topology. Besides geographers, this book is a trove of new ideas for landscape ecologists, mathematicians, data scientists, sociologists, psychologists, anthropologists and educators. Geo-Topology is a systematic introduction to topological thinking in Geography, also by highlighting the significance of Topology for Geographical Education, as well as for the Philosophy and Epistemology of Geography.