Geometric Computations With Interval And New Robust Methods
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Geometric Computations With Interval And New Robust Methods
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Author : H Ratschek
language : en
Publisher: Elsevier
Release Date : 2003-12-01
Geometric Computations With Interval And New Robust Methods written by H Ratschek and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-01 with Mathematics categories.
This undergraduate and postgraduate text will familiarise readers with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations plus the means for alleviating the effects of the errors. It also considers computations on geometric point-sets, which are neither robust nor reliable in processing with standard methods. The authors provide two effective tools for obtaining correct results: (a) interval arithmetic, and (b) ESSA the new powerful algorithm which improves many geometric computations and makes them rounding error free. - Familiarises the reader with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations - Provides two effective methods for obtaining correct results in interval arithmetic and ESSA
Numerical Validation In Current Hardware Architectures
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Author : Annie A.M. Cuyt
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-24
Numerical Validation In Current Hardware Architectures written by Annie A.M. Cuyt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-24 with Computers categories.
The major emphasis of the Dagstuhl Seminar on “Numerical Validation in C- rent Hardware Architectures” lay on numerical validation in current hardware architecturesand softwareenvironments. The generalidea wasto bring together experts who are concerned with computer arithmetic in systems with actual processor architectures and scientists who develop, use, and need techniques from veri?ed computation in their applications. Topics of the seminar therefore included: – The ongoing revision of the IEEE 754/854 standard for ?oating-point ari- metic – Feasible ways to implement multiple precision (multiword) arithmetic and to compute the actual precision at run-time according to the needs of input data – The achievement of a similar behavior of ?xed-point, ?oating-point and - terval arithmetic across language compliant implementations – The design of robust and e?cient numerical programsportable from diverse computers to those that adhere to the IEEE standard – The development and propagation of validated special-purpose software in di?erent application areas – Error analysis in several contexts – Certi?cation of numerical programs, veri?cation and validation assessment Computer arithmetic plays an important role at the hardware and software level, when microprocessors, embedded systems, or grids are designed. The re- ability of numerical softwarestrongly depends on the compliance with the cor- sponding ?oating-point norms. Standard CISC processors follow the 1985 IEEE norm 754, which is currently under revision, but the new highly performing CELL processor is not fully IEEE compliant.
Interval Analysis
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Author : Günter Mayer
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-04-10
Interval Analysis written by Günter Mayer and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-10 with Mathematics categories.
This self-contained text is a step-by-step introduction and a complete overview of interval computation and result verification, a subject whose importance has steadily increased over the past many years. The author, an expert in the field, gently presents the theory of interval analysis through many examples and exercises, and guides the reader from the basics of the theory to current research topics in the mathematics of computation. Contents Preliminaries Real intervals Interval vectors, interval matrices Expressions, P-contraction, ε-inflation Linear systems of equations Nonlinear systems of equations Eigenvalue problems Automatic differentiation Complex intervals
Scale Space And Variational Methods In Computer Vision
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Author : Luca Calatroni
language : en
Publisher: Springer Nature
Release Date : 2023-05-09
Scale Space And Variational Methods In Computer Vision written by Luca Calatroni and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-09 with Computers categories.
This book constitutes the proceedings of the 9th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2023, which took place in Santa Margherita di Pula, Italy, in May 2023. The 57 papers presented in this volume were carefully reviewed and selected from 72 submissions. They were organized in topical sections as follows: Inverse Problems in Imaging; Machine and Deep Learning in Imaging; Optimization for Imaging: Theory and Methods; Scale Space, PDEs, Flow, Motion and Registration.
Probability And Random Variables
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Author : G P Beaumont
language : en
Publisher: Elsevier
Release Date : 2005-03-15
Probability And Random Variables written by G P Beaumont and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-15 with Mathematics categories.
This undergraduate text distils the wisdom of an experienced teacher and yields, to the mutual advantage of students and their instructors, a sound and stimulating introduction to probability theory. The accent is on its essential role in statistical theory and practice, built on the use of illustrative examples and the solution of problems from typical examination papers. Mathematically-friendly for first and second year undergraduate students, the book is also a reference source for workers in a wide range of disciplines who are aware that even the simpler aspects of probability theory are not simple. - Provides a sound and stimulating introduction to probability theory - Places emphasis on the role of probability theory in statistical theory and practice, built on the use of illustrative examples and the solution of problems from typical examination papers
Efficient Algorithms
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Author : Helmut Alt
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-28
Efficient Algorithms written by Helmut Alt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-28 with Computers categories.
This Festschrift volume, published in honor of Kurt Mehlhorn on the occasion of his 60th birthday, contains 28 papers written by his former Ph.D. students and colleagues as well as by his former Ph.D. advisor, Bob Constable. The volume's title is a translation of the title of Kurt Mehlhorn's first book, "Effiziente Algorithmen", published by Teubner-Verlag in 1977. This Festschrift demonstrates how the field of algorithmics has developed and matured in the decades since then. The papers included in this volume are organized in topical sections on models of computation and complexity; sorting and searching; combinatorial optimization with applications; computational geometry and geometric graphs; and algorithm engineering, exactness and robustness.
Computing And Combinatorics
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Author : Thang N. Dinh
language : en
Publisher: Springer
Release Date : 2016-07-19
Computing And Combinatorics written by Thang N. Dinh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-19 with Computers categories.
This book constitutes the refereed proceedings of the 22nd International Conference on Computing and Combinatorics, COCOON 2016, held in Ho Chi Minh City, Vietnam, in August 2016. The 50 revised full papers papers presented in this book were carefully reviewed and selected from various submissions. The papers cover various topics including: Theory and Algorithms; Parameterized Complexity and Algorithms; Database and Data Structures; Computational Complexity; Approximation Algorithms; Cryptography; Network and Algorithms; Graph Theory and Algorithms; Computational Geometry; Scheduling Algorithms and Circuit Complexity; Computational Geometry and Computational Biology; and Logic, Algebra and Automata.
Reliable Implementation Of Real Number Algorithms Theory And Practice
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Author : Peter Hertling
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-28
Reliable Implementation Of Real Number Algorithms Theory And Practice written by Peter Hertling and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-28 with Computers categories.
This book constitutes the revised papers of the International Seminar on Reliable Implementation of Real Number Algorithms, held at Dagstuhl Castle, Germany, in January 2006. The Seminar was inteded to stimulate an exchange of ideas between the different communities that deal with the problem of reliable implementation of real number algorithms. Topics included formal proofs, software libraries, systems and platforms, as well as computational geometry and solid modelling.
Journal Of Graphics Tools
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Author :
language : en
Publisher:
Release Date : 2004
Journal Of Graphics Tools written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computer graphics categories.
Numerical Software With Result Verification
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Author : René Alt
language : en
Publisher: Springer
Release Date : 2004-02-12
Numerical Software With Result Verification written by René Alt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-12 with Computers categories.
Reliable computing techniques are essential if the validity of the output of a - merical algorithm is to be guaranteed to be correct. Our society relies more and more on computer systems. Usually, our systems appear to work successfully, but there are sometimes serious, and often minor, errors. Validated computing is one essential technology to achieve increased software reliability. Formal - gor in the de?nition of data types, the computer arithmetic, in algorithm design, and in program execution allows us to guarantee that the stated problem has (or does not have) a solution in an enclosing interval we compute. If the enclosure is narrow, we are certain that the result can be used. Otherwise, we have a clear warning that the uncertainty of input values might be large and the algorithm and the model have to be improved. The use of interval data types and al- rithms with controlled rounding and result veri?cation capture uncertainty in modeling and problem formulation, in model parameter estimation, in algorithm truncation, in operation round-o?, and in model interpretation. The techniques of validated computing have proven their merits in many scienti?c and engineering applications. They are based on solid and interesting theoretical studies in mathematics and computer science. Contributions from ?elds including real, complex and functional analysis, semigroups, probability, statistics,fuzzyintervalanalysis,fuzzylogic,automaticdi?erentiation,computer hardware, operating systems, compiler construction, programming languages, object-oriented modeling, parallel processing, and software engineering are all essential.