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Author: Chiung-Tung Thomas Kao
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 288
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Book Description
Author: Chiung-Tung Thomas Kao
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 288
Get Book Here
Book Description
Author: Thomas C. Kao
Publisher:
ISBN:
Category : Computational geometry
Languages : en
Pages : 85
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Book Description
Guibas, Knuth and Sharir proved that randomized incremental construction of the Delaunay triangulation (DT) of n points can be computed in O(n log n) expected time. We present the first efficient algorithm (O(log n) expected time per operation) that allows both point insertions as well as point deletions for the dynamic maintenance of DTs. The algorithm can be extended to higher dimensions. We present an algorithm for the dynamic maintenance of DTs with constraint chords. Constrained DTs are practical extensions to DTs and are widely used in numerical grid generation and geographic data processing.
Author: Jean-Daniel Boissonnat
Publisher: Cambridge University Press
ISBN: 9780521565295
Category : Computers
Languages : en
Pages : 548
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Book Description
The design and analysis of geometric algorithms have seen remarkable growth in recent years, due to their application in, for example, computer vision, graphics, medical imaging and CAD. The goals of this book are twofold: first to provide a coherent and systematic treatment of the foundations; secondly to present algorithmic solutions that are amenable to rigorous analysis and are efficient in practical situations. When possible, the algorithms are presented in their most general d-dimensional setting. Specific developments are given for the 2- or 3-dimensional cases when this results in significant improvements. The presentation is confined to Euclidean affine geometry, though the authors indicate whenever the treatment can be extended to curves and surfaces. The prerequisites for using the book are few, which will make it ideal for teaching advanced undergraduate or beginning graduate courses in computational geometry.
Author: Burkhard Monien
Publisher: Springer Science & Business Media
ISBN: 9783540554882
Category : Computers
Languages : en
Pages : 406
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Book Description
Myocarditis and idiopathic dilated cardiomyopathy are being increasingly recognized as important causes of heart disease and heart failure. Immunological mechanisms have long been suspected as playing a role in thesediseases but direct evidence has been lacking. Recently, animal models have be- come available, in which myocarditis can be induced either by infection with cardiotropic viruses or by autoimmuniza- tion with heart-specific antigens. This book presents and analyzes the latest information obtained from experimental models, relating it to the practical problems of diagnosis and treatment of myocarditis.
Author: Sariel Har-Peled
Publisher: American Mathematical Soc.
ISBN: 0821849115
Category : Computers
Languages : en
Pages : 378
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Book Description
Exact algorithms for dealing with geometric objects are complicated, hard to implement in practice, and slow. Over the last 20 years a theory of geometric approximation algorithms has emerged. These algorithms tend to be simple, fast, and more robust than their exact counterparts. This book is the first to cover geometric approximation algorithms in detail. In addition, more traditional computational geometry techniques that are widely used in developing such algorithms, like sampling, linear programming, etc., are also surveyed. Other topics covered include approximate nearest-neighbor search, shape approximation, coresets, dimension reduction, and embeddings. The topics covered are relatively independent and are supplemented by exercises. Close to 200 color figures are included in the text to illustrate proofs and ideas.
Author: Prosenjit Gupta
Publisher:
ISBN:
Category :
Languages : en
Pages : 376
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Book Description
Author: Jean-Daniel Boissonnat
Publisher: Springer Science & Business Media
ISBN: 3540332596
Category : Mathematics
Languages : en
Pages : 352
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Book Description
This book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter fully details and provides a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and efficient in practice. Coverage includes references to open source software and discussion of potential applications of the presented techniques.
Author: Yiqiu Wang (Computer scientist)
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
This thesis presents novel parallel shared-memory multi-core algorithms, implementations, and frameworks for efficiently solving large-scale spatial clustering and computational geometry problems. The primary focus is on designing theoretically-efficient and practical algorithms that can handle the increasing demand for faster processing speeds in spatial data sets. In the first part of the thesis, we introduce new parallel algorithms and framework for spatial clustering. We design new parallel algorithms for exact and approximate DBSCAN, which match the work complexity of the best sequential algorithms while maintaining low depth. Extensive experiments demonstrate that our algorithms achieve massive speedup over existing algorithms and can efficiently process large-scale data sets. We also present new parallel algorithms for hierarchical DBSCAN (HDBSCAN) and Euclidean minimum spanning tree (EMST), including several theoretical results and practical optimizations. Furthermore, we propose a method to generate a dendrogram from the minimum spanning tree (MST) of the HDBSCAN or EMST problem. The EMST also solves single-linkage clustering. Lastly, we also design a framework for implementing parallel grid-based clustering algorithms. The second part of the thesis introduces our contributions to parallel algorithms and a library for computational geometry. We contribute to three problems in computational geometry: a new parallel reservation-based algorithm that can express both randomized incremental convex hull and quickhull algorithms; a sampling-based algorithm to reduce work for the smallest enclosing ball problem; and a parallel batch-dynamic data structure for dynamic closest pair problem. We also introduce ParGeo, a library for parallel computational geometry that provides various parallel geometric algorithms, data structures, and graph generators. Our experimental evaluations show significant speedups achieved by our proposed algorithms across different problems. Overall, this thesis demonstrates that parallel shared-memory multi-core algorithms, implementations, and frameworks can efficiently solve large-scale spatial clustering and computational geometry problems both in theory and practice.
Author: Matthias Müller-Hannemann
Publisher: Springer
ISBN: 3642148662
Category : Computers
Languages : en
Pages : 526
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Book Description
Algorithms are essential building blocks of computer applications. However, advancements in computer hardware, which render traditional computer models more and more unrealistic, and an ever increasing demand for efficient solution to actual real world problems have led to a rising gap between classical algorithm theory and algorithmics in practice. The emerging discipline of Algorithm Engineering aims at bridging this gap. Driven by concrete applications, Algorithm Engineering complements theory by the benefits of experimentation and puts equal emphasis on all aspects arising during a cyclic solution process ranging from realistic modeling, design, analysis, robust and efficient implementations to careful experiments. This tutorial - outcome of a GI-Dagstuhl Seminar held in Dagstuhl Castle in September 2006 - covers the essential aspects of this process in ten chapters on basic ideas, modeling and design issues, analysis of algorithms, realistic computer models, implementation aspects and algorithmic software libraries, selected case studies, as well as challenges in Algorithm Engineering. Both researchers and practitioners in the field will find it useful as a state-of-the-art survey.
Author: Marcus Brazil
Publisher: Springer
ISBN: 3319139150
Category : Mathematics
Languages : en
Pages : 359
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Book Description
This book explores fundamental aspects of geometric network optimisation with applications to a variety of real world problems. It presents, for the first time in the literature, a cohesive mathematical framework within which the properties of such optimal interconnection networks can be understood across a wide range of metrics and cost functions. The book makes use of this mathematical theory to develop efficient algorithms for constructing such networks, with an emphasis on exact solutions. Marcus Brazil and Martin Zachariasen focus principally on the geometric structure of optimal interconnection networks, also known as Steiner trees, in the plane. They show readers how an understanding of this structure can lead to practical exact algorithms for constructing such trees. The book also details numerous breakthroughs in this area over the past 20 years, features clearly written proofs, and is supported by 135 colour and 15 black and white figures. It will help graduate students, working mathematicians, engineers and computer scientists to understand the principles required for designing interconnection networks in the plane that are as cost efficient as possible.
