Uncertainty In Geometric Computations

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Uncertainty in Geometric Computations

Author : Joab Winkler
Publisher : Springer Science & Business Media
ISBN 13 : 1461508134
Total Pages : 220 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Uncertainty in Geometric Computations by : Joab Winkler

Download or read book Uncertainty in Geometric Computations written by Joab Winkler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the workshop Uncertainty in Geomet ric Computations that was held in Sheffield, England, July 5-6, 2001. A total of 59 delegates from 5 countries in Europe, North America and Asia attended the workshop. The workshop provided a forum for the discussion of com putational methods for quantifying, representing and assessing the effects of uncertainty in geometric computations. It was organised around lectures by invited speakers, and presentations in poster form from participants. Computer simulations and modelling are used frequently in science and engi neering, in applications ranging from the understanding of natural and artificial phenomena, to the design, test and manufacturing stages of production. This widespread use necessarily implies that detailed knowledge of the limitations of computer simulations is required. In particular, the usefulness of a computer simulation is directly dependent on the user's knowledge of the uncertainty in the simulation. Although an understanding of the phenomena being modelled is an important requirement of a good computer simulation, the model will be plagued by deficiencies if the errors and uncertainties in it are not consid ered when the results are analysed. The applications of computer modelling are large and diverse, but the workshop focussed on the management of un certainty in three areas : Geometric modelling, computer vision, and computer graphics.

Computational Geometry With Independent And Dependent Uncertainties

Author : Rivka Gitik
Publisher : World Scientific
ISBN 13 : 9811253854
Total Pages : 160 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Computational Geometry With Independent And Dependent Uncertainties by : Rivka Gitik

Download or read book Computational Geometry With Independent And Dependent Uncertainties written by Rivka Gitik and published by World Scientific. This book was released on 2022-08-11 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive compendium describes a parametric model and algorithmic theory to represent geometric entities with dependent uncertainties between them. The theory, named Linear Parametric Geometric Uncertainty Model (LPGUM), is an expressive and computationally efficient framework that allows to systematically study geometric uncertainty and its related algorithms in computer geometry.The self-contained monograph is of great scientific, technical, and economic importance as geometric uncertainty is ubiquitous in mechanical CAD/CAM, robotics, computer vision, wireless networks and many other fields. Geometric models, in contrast, are usually exact and do not account for these inaccuracies.This useful reference text benefits academics, researchers, and practitioners in computer science, robotics, mechanical engineering and related fields.

The Geometry of Uncertainty

Author : Fabio Cuzzolin
Publisher : Springer Nature
ISBN 13 : 3030631532
Total Pages : 850 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis The Geometry of Uncertainty by : Fabio Cuzzolin

Download or read book The Geometry of Uncertainty written by Fabio Cuzzolin and published by Springer Nature. This book was released on 2020-12-17 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal aim of this book is to introduce to the widest possible audience an original view of belief calculus and uncertainty theory. In this geometric approach to uncertainty, uncertainty measures can be seen as points of a suitably complex geometric space, and manipulated in that space, for example, combined or conditioned. In the chapters in Part I, Theories of Uncertainty, the author offers an extensive recapitulation of the state of the art in the mathematics of uncertainty. This part of the book contains the most comprehensive summary to date of the whole of belief theory, with Chap. 4 outlining for the first time, and in a logical order, all the steps of the reasoning chain associated with modelling uncertainty using belief functions, in an attempt to provide a self-contained manual for the working scientist. In addition, the book proposes in Chap. 5 what is possibly the most detailed compendium available of all theories of uncertainty. Part II, The Geometry of Uncertainty, is the core of this book, as it introduces the author’s own geometric approach to uncertainty theory, starting with the geometry of belief functions: Chap. 7 studies the geometry of the space of belief functions, or belief space, both in terms of a simplex and in terms of its recursive bundle structure; Chap. 8 extends the analysis to Dempster’s rule of combination, introducing the notion of a conditional subspace and outlining a simple geometric construction for Dempster’s sum; Chap. 9 delves into the combinatorial properties of plausibility and commonality functions, as equivalent representations of the evidence carried by a belief function; then Chap. 10 starts extending the applicability of the geometric approach to other uncertainty measures, focusing in particular on possibility measures (consonant belief functions) and the related notion of a consistent belief function. The chapters in Part III, Geometric Interplays, are concerned with the interplay of uncertainty measures of different kinds, and the geometry of their relationship, with a particular focus on the approximation problem. Part IV, Geometric Reasoning, examines the application of the geometric approach to the various elements of the reasoning chain illustrated in Chap. 4, in particular conditioning and decision making. Part V concludes the book by outlining a future, complete statistical theory of random sets, future extensions of the geometric approach, and identifying high-impact applications to climate change, machine learning and artificial intelligence. The book is suitable for researchers in artificial intelligence, statistics, and applied science engaged with theories of uncertainty. The book is supported with the most comprehensive bibliography on belief and uncertainty theory.

Handbook of Geometric Computing

Author : Eduardo Bayro Corrochano
Publisher : Springer Science & Business Media
ISBN 13 : 3540282475
Total Pages : 773 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Handbook of Geometric Computing by : Eduardo Bayro Corrochano

Download or read book Handbook of Geometric Computing written by Eduardo Bayro Corrochano and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many computer scientists, engineers, applied mathematicians, and physicists use geometry theory and geometric computing methods in the design of perception-action systems, intelligent autonomous systems, and man-machine interfaces. This handbook brings together the most recent advances in the application of geometric computing for building such systems, with contributions from leading experts in the important fields of neuroscience, neural networks, image processing, pattern recognition, computer vision, uncertainty in geometric computations, conformal computational geometry, computer graphics and visualization, medical imagery, geometry and robotics, and reaching and motion planning. For the first time, the various methods are presented in a comprehensive, unified manner. This handbook is highly recommended for postgraduate students and researchers working on applications such as automated learning; geometric and fuzzy reasoning; human-like artificial vision; tele-operation; space maneuvering; haptics; rescue robots; man-machine interfaces; tele-immersion; computer- and robotics-aided neurosurgery or orthopedics; the assembly and design of humanoids; and systems for metalevel reasoning.

Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines

Author : Francesco Montomoli
Publisher : Springer
ISBN 13 : 3319929437
Total Pages : 198 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines by : Francesco Montomoli

Download or read book Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines written by Francesco Montomoli and published by Springer. This book was released on 2018-06-21 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces design techniques developed to increase the safety of aircraft engines, and demonstrates how the application of stochastic methods can overcome problems in the accurate prediction of engine lift caused by manufacturing error. This in turn addresses the issue of achieving required safety margins when hampered by limits in current design and manufacturing methods. The authors show that avoiding the potential catastrophe generated by the failure of an aircraft engine relies on the prediction of the correct behaviour of microscopic imperfections. This book shows how to quantify the possibility of such failure, and that it is possible to design components that are inherently less risky and more reliable. This new, updated and significantly expanded edition gives an introduction to engine reliability and safety to contextualise this important issue, evaluates newly-proposed methods for uncertainty quantification as applied to jet engines. Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines will be of use to gas turbine manufacturers and designers as well as CFD practitioners, specialists and researchers. Graduate and final year undergraduate students in aerospace or mathematical engineering may also find it of interest.

Dose Computation in Conformal Radiation Therapy Including Geometric Uncertainties

Author : Mihaela Rosu
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Dose Computation in Conformal Radiation Therapy Including Geometric Uncertainties by : Mihaela Rosu

Download or read book Dose Computation in Conformal Radiation Therapy Including Geometric Uncertainties written by Mihaela Rosu and published by . This book was released on 2005 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Uncertain Computation-based Decision Theory

Author : Aliev Rafig Aziz
Publisher : World Scientific
ISBN 13 : 9813228954
Total Pages : 540 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Uncertain Computation-based Decision Theory by : Aliev Rafig Aziz

Download or read book Uncertain Computation-based Decision Theory written by Aliev Rafig Aziz and published by World Scientific. This book was released on 2017-12-06 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncertain computation is a system of computation and reasoning in which the objects of computation are not values of variables but restrictions on values of variables. This compendium includes uncertain computation examples based on interval arithmetic, probabilistic arithmetic, fuzzy arithmetic, Z-number arithmetic, and arithmetic with geometric primitives. The principal problem with the existing decision theories is that they do not have capabilities to deal with such environment. Up to now, no books where decision theories based on all generalizations level of information are considered. Thus, this self-containing volume intends to overcome this gap between real-world settings' decisions and their formal analysis. Contents: Decision EnvironmentAnalysis of the Existing Decision TheoriesInterval ComputationProbabilistic ArithmeticFuzzy Type-1 and Fuzzy Type-2 ComputationsComputation with Z-NumbersComputation with U-NumbersFuzzy Geometry Based ComputationsInterval Granular-Based Decision MakingDecision Making in Fuzzy EnvironmentThe Z-Restriction Centered Decision TheorySimulation and Applications Readership: Researchers, academics, professionals and graduate students in fuzzy logic, decision sciences and mathematical economics. Keywords: Uncertain Computation;Decision Making;Interval Arithmetic;Fuzzy Arithmetic;Z-Number;Combined State;Fuzzy EconomicsReview:0

Uncertain Inputs for Convex Hulls and Clustering

Author : Hongyao Huang
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

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Book Synopsis Uncertain Inputs for Convex Hulls and Clustering by : Hongyao Huang

Download or read book Uncertain Inputs for Convex Hulls and Clustering written by Hongyao Huang and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric algorithms and inputs have received an increasing amount of attention with the explosion of data and computing challenges that arise from real world applications. This real world data is often uncertain in nature, either in the location or the existence of the data points. However, many classical computational geometry algorithms assume inputs to be precise. Thus the inherent presence of uncertainty in real data motivates the further exploration of classical geometric problems, though modeled to include uncertain inputs. This dissertation considers two of the most fundamental computational geometry problems, namely convex hulls and clustering, when the inputs are uncertain. We consider two different ways to model uncertainty: (i) uncertainty on location, where an uncertain point set is a collection of compact regions in the plane, and (ii) a probabilistic framework to model the existence of each point from the input point set. First, we study the complexity of the convex hull when the uncertain input points are modeled as a set of compact subsets, namely line segments. Here we seek the realization of the points whose convex hull has the fewest number of vertices. Next, we explore the classic k-center clustering problem for when the uncertain input points are a set of convex objects, for which we present several results. Finally, the last part of this dissertation concerns the k-center clustering problem with probabilistic centers, where each cluster center has a probability of failure. In presenting geometric properties, algorithms, and hardness results for convex hulls and clustering, this dissertation aims to give a better understanding to fundamental geometric problems with uncertain inputs.

Uncertainty Quantification

Author : Christian Soize
Publisher : Springer
ISBN 13 : 3319543393
Total Pages : 329 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Uncertainty Quantification by : Christian Soize

Download or read book Uncertainty Quantification written by Christian Soize and published by Springer. This book was released on 2017-04-24 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the fundamental notions and advanced mathematical tools in the stochastic modeling of uncertainties and their quantification for large-scale computational models in sciences and engineering. In particular, it focuses in parametric uncertainties, and non-parametric uncertainties with applications from the structural dynamics and vibroacoustics of complex mechanical systems, from micromechanics and multiscale mechanics of heterogeneous materials. Resulting from a course developed by the author, the book begins with a description of the fundamental mathematical tools of probability and statistics that are directly useful for uncertainty quantification. It proceeds with a well carried out description of some basic and advanced methods for constructing stochastic models of uncertainties, paying particular attention to the problem of calibrating and identifying a stochastic model of uncertainty when experimental data is available. This book is intended to be a graduate-level textbook for students as well as professionals interested in the theory, computation, and applications of risk and prediction in science and engineering fields.

Uncertainty Quantification in Computational Fluid Dynamics

Author : Hester Bijl
Publisher : Springer Science & Business Media
ISBN 13 : 3319008854
Total Pages : 333 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Uncertainty Quantification in Computational Fluid Dynamics by : Hester Bijl

Download or read book Uncertainty Quantification in Computational Fluid Dynamics written by Hester Bijl and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid flows are characterized by uncertain inputs such as random initial data, material and flux coefficients, and boundary conditions. The current volume addresses the pertinent issue of efficiently computing the flow uncertainty, given this initial randomness. It collects seven original review articles that cover improved versions of the Monte Carlo method (the so-called multi-level Monte Carlo method (MLMC)), moment-based stochastic Galerkin methods and modified versions of the stochastic collocation methods that use adaptive stencil selection of the ENO-WENO type in both physical and stochastic space. The methods are also complemented by concrete applications such as flows around aerofoils and rockets, problems of aeroelasticity (fluid-structure interactions), and shallow water flows for propagating water waves. The wealth of numerical examples provide evidence on the suitability of each proposed method as well as comparisons of different approaches.

Model Validation and Uncertainty Quantification, Volume 3

Author : Sez Atamturktur
Publisher : Springer
ISBN 13 : 3319297546
Total Pages : 379 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Model Validation and Uncertainty Quantification, Volume 3 by : Sez Atamturktur

Download or read book Model Validation and Uncertainty Quantification, Volume 3 written by Sez Atamturktur and published by Springer. This book was released on 2016-06-27 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model Validation and Uncertainty Quantifi cation, Volume 3. Proceedings of the 34th IMAC, A Conference and Exposition on Dynamics of Multiphysical Systems: From Active Materials to Vibroacoustics, 2016, the third volume of ten from the Conference brings together contributions to this important area of research and engineering. Th e collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: • Uncertainty Quantifi cation & Model Validation • Uncertainty Propagation in Structural Dynamics • Bayesian & Markov Chain Monte Carlo Methods • Practical Applications of MVUQ • Advances in MVUQ & Model Updating • Robustness in Design & Validation • Verifi cation & Validation Methods

Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1490110119
Total Pages : 1187 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition by :

Download or read book Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 1187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Random Structures and Algorithms. The editors have built Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Random Structures and Algorithms in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Advanced Concepts for Intelligent Vision Systems

Author : Jaques Blanc-Talon
Publisher : Springer
ISBN 13 : 3642236871
Total Pages : 777 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Advanced Concepts for Intelligent Vision Systems by : Jaques Blanc-Talon

Download or read book Advanced Concepts for Intelligent Vision Systems written by Jaques Blanc-Talon and published by Springer. This book was released on 2011-09-06 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2011, held in Ghent, Belgium, in August 2011. The 66 revised full papers presented were carefully reviewed and selected from 124 submissions. The papers are organized in topical sections on classification recognition, and tracking, segmentation, images analysis, image processing, video surveillance and biometrics, algorithms and optimization; and 3D, depth and scene understanding.

Forging Connections between Computational Mathematics and Computational Geometry

Author : Ke Chen
Publisher : Springer
ISBN 13 : 3319161393
Total Pages : 300 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Forging Connections between Computational Mathematics and Computational Geometry by : Ke Chen

Download or read book Forging Connections between Computational Mathematics and Computational Geometry written by Ke Chen and published by Springer. This book was released on 2016-01-03 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents original research contributed to the 3rd Annual International Conference on Computational Mathematics and Computational Geometry (CMCGS 2014), organized and administered by Global Science and Technology Forum (GSTF). Computational Mathematics and Computational Geometry are closely related subjects, but are often studied by separate communities and published in different venues. This volume is unique in its combination of these topics. After the conference, which took place in Singapore, selected contributions chosen for this volume and peer-reviewed. The section on Computational Mathematics contains papers that are concerned with developing new and efficient numerical algorithms for mathematical sciences or scientific computing. They also cover analysis of such algorithms to assess accuracy and reliability. The parts of this project that are related to Computational Geometry aim to develop effective and efficient algorithms for geometrical applications such as representation and computation of surfaces. Other sections in the volume cover Pure Mathematics and Statistics ranging from partial differential equations to matrix analysis, finite difference or finite element methods and function approximation. This volume will appeal to advanced students and researchers in these areas.

Algorithms and Computation

Author : Kam W. Ng
Publisher : Springer Science & Business Media
ISBN 13 : 9783540575689
Total Pages : 566 pages
Book Rating : 4.5/5 (756 download)

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Book Synopsis Algorithms and Computation by : Kam W. Ng

Download or read book Algorithms and Computation written by Kam W. Ng and published by Springer Science & Business Media. This book was released on 1993-11-26 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the fourth annual International Symposium on Algorithms and Computation, held in Hong Kong in December 1993.Numerous selected papers present original research in such areas as design and analysis of algorithms, computational complexity, and theory of computation. Topics covered include: - automata, languages, and computability, - combinatorial, graph, geometric, and randomized algorithms, - networks and distributed algorithms, - VLSIand parallel algorithms, - theory of learning and robotics, - number theory and robotics. Three invited papers are also included.

Vision Geometry

Author :
Publisher :
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Vision Geometry by :

Download or read book Vision Geometry written by and published by . This book was released on 2000 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Mathematical & Computational Tools in Metrology & Testing VIII

Author : Franco Pavese
Publisher : World Scientific
ISBN 13 : 9812839518
Total Pages : 419 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Advanced Mathematical & Computational Tools in Metrology & Testing VIII by : Franco Pavese

Download or read book Advanced Mathematical & Computational Tools in Metrology & Testing VIII written by Franco Pavese and published by World Scientific. This book was released on 2009 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of the AMCTM 2008 conference, reinforced by the establishment of IMEKO TC21, was to provide a central opportunity for the metrology and testing community worldwide to engage with applied mathematicians, statisticians and software engineers working in the relevant fields. This review volume consists of reviewed papers prepared on the basis of the oral and poster presentations of the Conference participants. It covers all the general matters of advanced statistical modeling (e.g. uncertainty evaluation, experimental design, optimization, data analysis and applications, multiple measurands, correlation, etc.), metrology software (e.g. engineering aspects, requirements or specification, risk assessment, software development, software examination, software tools for data analysis, visualization, experiment control, best practice, standards, etc.), numerical methods (e.g. numerical data analysis, numerical simulations, inverse problems, uncertainty evaluation of numerical algorithms, applications, etc.), and data fusion techniques and design and analysis of inter-laboratory comparisons.