Topology for Computing

Author: Afra J. Zomorodian

Publisher: Cambridge University Press

ISBN: 9781139442633

Category: Computers

Page: N.A

View: 2092


The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields. Recent applications include computer graphics, computer-aided design (CAD), and structural biology, all of which involve understanding the intrinsic shape of some real or abstract space. A primary goal of this book is to present basic concepts from topology and Morse theory to enable a non-specialist to grasp and participate in current research in computational topology. The author gives a self-contained presentation of the mathematical concepts from a computer scientist's point of view, combining point set topology, algebraic topology, group theory, differential manifolds, and Morse theory. He also presents some recent advances in the area, including topological persistence and hierarchical Morse complexes. Throughout, the focus is on computational challenges and on presenting algorithms and data structures when appropriate.

Computational Topology for Biomedical Image and Data Analysis

Theory and Applications

Author: Rodrigo Rojas Moraleda,Nektarios A. Valous,Wei Xiong,Niels Halama

Publisher: CRC Press

ISBN: 0429810989

Category: Medical

Page: 116

View: 9920


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

Distributed Autonomous Robotic Systems

The 13th International Symposium

Author: Roderich Groß,Andreas Kolling,Spring Berman,Emilio Frazzoli,Alcherio Martinoli,Fumitoshi Matsuno,Melvin Gauci

Publisher: Springer

ISBN: 3319730088

Category: Technology & Engineering

Page: 697

View: 1320


Distributed robotics is an interdisciplinary and rapidly growing area, combining research in computer science, communication and control systems, and electrical and mechanical engineering. Distributed robotic systems can autonomously solve complex problems while operating in highly unstructured real-world environments. They are expected to play a major role in addressing future societal needs, for example, by improving environmental impact assessment, food supply, transportation, manufacturing, security, and emergency and rescue services. The goal of the International Symposium on Distributed Autonomous Robotic Systems (DARS) is to provide a forum for scientific advances in the theory and practice of distributed autonomous robotic systems. This volume of proceedings include 47 original contributions presented at the 13th International Symposium on Distributed Autonomous Robotic Systems (DARS 2016), which was held at the Natural History Museum in London, UK, from November 7th to 9th, 2016. The selected papers in this volume are authored by leading researchers from around the world, thereby providing a broad coverage and perspective of the state-of-the-art technologies, algorithms, system architectures, and applications in distributed robotic systems. The book is organized into seven parts, representative of critical long-term and emerging research thrusts in the multi-robot community: Distributed Coverage and Exploration; Multi-Robot Control; Multi-Robot Estimation; Multi-Robot Planning; Modular Robots and Smart Materials; Swarm Robotics; and Multi-Robot Systems in Applications.

Computer Analysis of Images and Patterns

14th International Conference, CAIP 2011, Seville, Spain, August 29-31, 2011, Proceedings

Author: Ainhoa Berciano,Daniel Díaz-Pernil,Walter Kropatsch,Pedro Real,Helena Molina-Abril

Publisher: Springer Science & Business Media

ISBN: 3642236715

Category: Computers

Page: 611

View: 5252


The two volume set LNCS 6854/6855 constitutes the refereed proceedings of the International Conference on Computer Analysis of Images and Patterns, CAIP 2011, which took place in Seville, Spain, August 29-31, 2011. The 138 papers presented together with 2 invited talks were carefully reviewed and selected from 286 submissions. The papers are organized in topical section on: motion analysis, image and shape models, segmentation and grouping, shape recovery, kernel methods, medical imaging, structural pattern recognition, Biometrics, image and video processing, calibration; and tracking and stereo vision.

Geometry and Topology for Mesh Generation

Author: Herbert Edelsbrunner

Publisher: Cambridge University Press

ISBN: 9780521793094

Category: Mathematics

Page: 177

View: 8136


The book combines topics in mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation). The original motivation for these topics was the difficulty faced (both conceptually and in the technical execution) in any attempt to combine elements of combinatorial and of numerical algorithms. Mesh generation is a topic where a meaningful combination of these different approaches to problem solving is inevitable. The book develops methods from both areas that are amenable to combination, and explains recent breakthrough solutions to meshing that fit into this category.The book should be an ideal graduate text for courses on mesh generation. The specific material is selected giving preference to topics that are elementary, attractive, lend themselves to teaching, useful, and interesting.

Level Set Methods and Fast Marching Methods

Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science

Author: J. A. Sethian

Publisher: Cambridge University Press

ISBN: 9780521645577

Category: Computers

Page: 378

View: 6014


This new edition is an introduction to level set methods and fast marching methods.