Shape Preserving Representations In Computer Aided Geometric Design

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Shape Preserving Representations in Computer-aided Geometric Design

Author : Juan M. Peña
Publisher : Nova Publishers
ISBN 13 : 9781560726913
Total Pages : 258 pages
Book Rating : 4.7/5 (269 download)

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Book Synopsis Shape Preserving Representations in Computer-aided Geometric Design by : Juan M. Peña

Download or read book Shape Preserving Representations in Computer-aided Geometric Design written by Juan M. Peña and published by Nova Publishers. This book was released on 1999 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents recent important advances in the field of computer-aided geometric design in the study of shape-preserving representations of curves and surfaces. The volume's dozen papers are organized into five sections on: shape preserving representations of curves, optimality of B-bases, blossoming and geometric approach, shape preserving representations of surfaces, and trigonometric bases for the representation of curves and surfaces. The index spans the admissible (in design algorithms for spline curves) to the weak Chebyshev space and system. Contributors hail from six European countries. Annotation copyrighted by Book News, Inc., Portland, OR

Mathematical Methods in Computer Aided Geometric Design

Author : Tom Lyche
Publisher : Academic Press
ISBN 13 : 1483257800
Total Pages : 632 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Methods in Computer Aided Geometric Design by : Tom Lyche

Download or read book Mathematical Methods in Computer Aided Geometric Design written by Tom Lyche and published by Academic Press. This book was released on 2014-05-10 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods in Computer Aided Geometric Design covers the proceedings of the 1988 International Conference by the same title, held at the University of Oslo, Norway. This text contains papers based on the survey lectures, along with 33 full-length research papers. This book is composed of 39 chapters and begins with surveys of scattered data interpolation, spline elastic manifolds, geometry processing, the properties of Bézier curves, and Gröbner basis methods for multivariate splines. The next chapters deal with the principles of box splines, smooth piecewise quadric surfaces, some applications of hierarchical segmentations of algebraic curves, nonlinear parameters of splines, and algebraic aspects of geometric continuity. These topics are followed by discussions of shape preserving representations, box-spline surfaces, subdivision algorithm parallelization, interpolation systems, and the finite element method. Other chapters explore the concept and applications of uniform bivariate hermite interpolation, an algorithm for smooth interpolation, and the three B-spline constructions. The concluding chapters consider the three B-spline constructions, design tools for shaping spline models, approximation of surfaces constrained by a differential equation, and a general subdivision theorem for Bézier triangles. This book will prove useful to mathematicians and advance mathematics students.

Methods of Shape-Preserving Spline Approximation

Author : Boris I Kvasov
Publisher : World Scientific
ISBN 13 : 981449447X
Total Pages : 356 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Methods of Shape-Preserving Spline Approximation by : Boris I Kvasov

Download or read book Methods of Shape-Preserving Spline Approximation written by Boris I Kvasov and published by World Scientific. This book was released on 2000-07-24 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters. The resulting curves/surfaces retain geometric properties of the initial data, such as positivity, monotonicity, convexity, linear and planar sections. The main tools used are generalized tension splines and B-splines. A difference method for constructing tension splines is also developed which permits one to avoid the computation of hyperbolic functions and provides other computational advantages. The algorithms of monotonizing parametrization described improve an adequate representation of the resulting shape-preserving curves/surfaces. Detailed descriptions of algorithms are given, with a strong emphasis on their computer implementation. These algorithms can be applied to solve many problems in computer-aided geometric design. Contents:Interpolation by Polynomials and Lagrange SplinesCubic Spline InterpolationAlgorithms for Computing 1-D and 2-D Polynomial SplinesMethods of Monotone and Convex Spline InterpolationMethods of Shape-Preserving Spline InterpolationLocal Bases for Generalized Tension SplinesGB-Splines of Arbitrary OrderMethods of Shape Preserving Local Spline ApproximationDifference Method for Construction Hyperbolic Tension SplinesDiscrete Generalized Tension SplinesMethods of Shape Preserving Parametrization Readership: Engineers, physicists, researchers and students in applied mathematics. Keywords:Lagrange Splines;Cubic Splines;Monotone and Convex Spline Interpolation;Shape-Preserving Spline Interpolation;GB-Splines and Recursive Algorithms for GB-Splines;Shape-Preserving Local Spline Approximation;Discrete Generalized Tension Splines;Differential Multipoint Boundary Value Problem;Difference Method for Constructing Hyperbolic Tension Splines;Shape-Preserving ParametrizationReviews: “The book is well written, and I can recommend it to anyone interested in shape-preserving spline methods.” Mathematical Reviews

Curves and Surfaces for Computer-Aided Geometric Design

Author : Gerald Farin
Publisher : Elsevier
ISBN 13 : 1483296997
Total Pages : 498 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Curves and Surfaces for Computer-Aided Geometric Design by : Gerald Farin

Download or read book Curves and Surfaces for Computer-Aided Geometric Design written by Gerald Farin and published by Elsevier. This book was released on 2014-06-28 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: A leading expert in CAGD, Gerald Farin covers the representation, manipulation, and evaluation of geometric shapes in this the Third Edition of Curves and Surfaces for Computer Aided Geometric Design. The book offers an introduction to the field that emphasizes Bernstein-Bezier methods and presents subjects in an informal, readable style, making this an ideal text for an introductory course at the advanced undergraduate or graduate level. The Third Edition includes a new chapter on Topology, offers new exercises and sections within most chapters, combines the material on Geometric Continuity into one chapter, and updates existing materials and references. Implementation techniques are addressed for practitioners by the inclusion of new C programs for many of the fundamental algorithms. The C programs are available on a disk included with the text. System Requirements: IBM PC or compatibles, DOS version 2.0 or higher. Covers representation, manipulation, and evaluation of geometric shapes Emphasizes Bernstein-Bezier methods Written in an informal, easy-to-read style

Mathematical Methods for Curves and Surfaces

Author : Morten Dæhlen
Publisher : Springer Science & Business Media
ISBN 13 : 3642116191
Total Pages : 453 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Mathematical Methods for Curves and Surfaces by : Morten Dæhlen

Download or read book Mathematical Methods for Curves and Surfaces written by Morten Dæhlen and published by Springer Science & Business Media. This book was released on 2010-03-02 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008, held in Tønsberg, Norway, in June/July 2008. The 28 revised full papers presented were carefully reviewed and selected from 129 talks presented at the conference. The topics addressed by the papers range from mathematical analysis of various methods to practical implementation on modern graphics processing units.

Computer Aided Geometric Design

Author : Robert E. Barnhill
Publisher : Academic Press
ISBN 13 : 1483268489
Total Pages : 337 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Computer Aided Geometric Design by : Robert E. Barnhill

Download or read book Computer Aided Geometric Design written by Robert E. Barnhill and published by Academic Press. This book was released on 2014-05-10 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Aided Geometric Design covers the proceedings of the First International Conference on Computer Aided Geometric Design, held at the University of Utah on March 18-21, 1974. This book is composed of 15 chapters and starts with reviews of the properties of surface patch equation and the use of computers in geometrical design. The next chapters deal with the principles of smooth interpolation over triangles and without twist constraints, as well as the graphical representation of surfaces over triangles and rectangles. These topics are followed by discussions of the B-spline curves and surfaces; mathematical and practical possibilities of UNISURF; nonlinear splines; and some piecewise polynomial alternatives to splines under tension. Other chapters explore the smooth parametric surfaces, the space curve as a folded edge, and the interactive computer graphics application of the parametric bi-cubic surface to engineering design problems. The final chapters look into the three-dimensional human-machine communication and a class of local interpolating splines. This book will prove useful to design engineers.

Interactive Curve Modeling

Author : Muhammad Sarfraz
Publisher : Springer Science & Business Media
ISBN 13 : 1846288711
Total Pages : 350 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Interactive Curve Modeling by : Muhammad Sarfraz

Download or read book Interactive Curve Modeling written by Muhammad Sarfraz and published by Springer Science & Business Media. This book was released on 2007-10-24 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers Curve Modeling with solutions to real life problems relating to Computer Graphics, Vision, Image Processing, Geometric Modeling and CAD/CAM. Chapters deal with basic concepts, curve design techniques and their use to various applications and a wide range of problems with their automated solutions through computers. The book provides an invaluable resource which focuses on interdisciplinary methods and affiliates up-to-date methodologies. It aims to stimulate provide a source where the reader can find the latest developments in the field including a variety of techniques, applications, and systems necessary for solving real life problems.

Total Positivity and Its Applications

Author : Mariano Gasca
Publisher : Springer Science & Business Media
ISBN 13 : 9401586748
Total Pages : 510 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Total Positivity and Its Applications by : Mariano Gasca

Download or read book Total Positivity and Its Applications written by Mariano Gasca and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains both invited lectures and contributed talks presented at the meeting on Total Positivity and its Applications held at the guest house of the University of Zaragoza in Jaca, Spain, during the week of September 26-30, 1994. There were present at the meeting almost fifty researchers from fourteen countries. Their interest in thesubject of Total Positivity made for a stimulating and fruitful exchange of scientific information. Interest to participate in the meeting exceeded our expectations. Regrettably, budgetary constraints forced us to restriet the number of attendees. Professor S. Karlin, of Stanford University, who planned to attend the meeting had to cancel his participation at the last moment. Nonetheless, his almost universal spiritual presence energized and inspired all of us in Jaca. More than anyone, he influenced the content, style and quality of the presentations given at the meeting. Every article in these Proceedings (except some by Karlin hirnself) references his influential treatise Total Positivity, Volume I, Stanford University Press, 1968. Since its appearance, this book has intrigued and inspired the minds of many researchers (one of us, in his formative years, read the galley proofs and the other of us first doubted its value but then later became its totally committed disciple). All of us present at the meeting encourage Professor Karlin to return to the task of completing the anxiously awaited Volume 11 of Total Positivity.

Advances in Future Manufacturing Engineering

Author : Guohui Yang
Publisher : CRC Press
ISBN 13 : 1315684624
Total Pages : 542 pages
Book Rating : 4.3/5 (156 download)

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Book Synopsis Advances in Future Manufacturing Engineering by : Guohui Yang

Download or read book Advances in Future Manufacturing Engineering written by Guohui Yang and published by CRC Press. This book was released on 2015-06-11 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Future Manufacturing Engineering (ICFME 2014) was held in Hong Kong, December 10-11, 2014. It gathered academics, industry managers and experts, manufacturing engineers, university students all interested or proficient in the field of manufacturing engineering, including research, design and development of systems, p

Multivariate Approximation and Applications

Author : N. Dyn
Publisher : Cambridge University Press
ISBN 13 : 0521800234
Total Pages : 300 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Multivariate Approximation and Applications by : N. Dyn

Download or read book Multivariate Approximation and Applications written by N. Dyn and published by Cambridge University Press. This book was released on 2001-05-17 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation theory in the multivariate setting has many applications including numerical analysis, wavelet analysis, signal processing, geographic information systems, computer aided geometric design and computer graphics. This advanced introduction to multivariate approximation and related topics consists of nine articles written by leading experts surveying many of the new ideas and their applications. Each article takes the reader to the forefront of research and ends with a comprehensive bibliography.

Curves and Surfaces

Author : Pierre-Jean Laurent
Publisher : Academic Press
ISBN 13 : 1483263878
Total Pages : 535 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Curves and Surfaces by : Pierre-Jean Laurent

Download or read book Curves and Surfaces written by Pierre-Jean Laurent and published by Academic Press. This book was released on 2014-05-12 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: Curves and Surfaces provides information pertinent to the fundamental aspects of approximation theory with emphasis on approximation of images, surface compression, wavelets, and tomography. This book covers a variety of topics, including error estimates for multiquadratic interpolation, spline manifolds, and vector spline approximation. Organized into 77 chapters, this book begins with an overview of the method, based on a local Taylor expansion of the final curve, for computing the parameter values. This text then presents a vector approximation based on general spline function theory. Other chapters consider a nonparametric technique for estimating under random censorship the amplitude of a change point in change point hazard models. This book discusses as well the algorithm for ray tracing rational parametric surfaces based on inversion and implicitization. The final chapter deals with the results concerning the norm of the interpolation operator and error estimates for a square domain. This book is a valuable resource for mathematicians.

Positive Systems

Author : Rafael Bru
Publisher : Springer
ISBN 13 : 3642028942
Total Pages : 398 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Positive Systems by : Rafael Bru

Download or read book Positive Systems written by Rafael Bru and published by Springer. This book was released on 2009-09-30 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the "Third Multidisciplinary Symposium on Positive Systems: Theory and Applications (POSTA09)" held in Valencia, Spain, September 2–4, 2009. This is the only world congress whose main topic is focused on this field.

Handbook of Computer Aided Geometric Design

Author : G. Farin
Publisher : Elsevier
ISBN 13 : 0444511040
Total Pages : 849 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Handbook of Computer Aided Geometric Design by : G. Farin

Download or read book Handbook of Computer Aided Geometric Design written by G. Farin and published by Elsevier. This book was released on 2002-08-13 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering. This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposure to this subject.

Wavelet Analysis And Applications

Author : Peter Roberts
Publisher : New Age International
ISBN 13 : 9788122415155
Total Pages : 180 pages
Book Rating : 4.4/5 (151 download)

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Book Synopsis Wavelet Analysis And Applications by : Peter Roberts

Download or read book Wavelet Analysis And Applications written by Peter Roberts and published by New Age International. This book was released on 2007 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelets And Related Functions Constitute A Most Recent Set Of Mathematical Tools, Impacting Many Branches Of Mathematical And Applied Sciences, Ranging From Approximation Theory And Harmonic Analysis To Signal Analysis And Image Compression.This Volume Includes Lectures Delivered At The Platinum Jubilee Workshop And Tenth Ramanujan Symposium, Pjwtrs-2003, On Wavelet Analysis, Conducted In March 2003. The Contents Cover A Variety Of Interesting Topics Like Wavelets As Approximation Tools, Connections With Filter Banks, The Bessel-Wavelet Transform, Relations With Partial Differential Equations Of Fluid Flow, Weyl Heisenberg Frames, Reconstruction Of Functions From Irregular Sampling And Various Applications, Particularly In Electrical Engineering. This Book Will Be Useful To Mathematicians, Computer And Electrical Engineers, Systems Analysts And Applied Scientists. The Level Can Be Graduate Engineer Or Post Graduate Student Of Mathematics.

IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs

Author : Annalisa Buffa
Publisher : Springer
ISBN 13 : 3319423096
Total Pages : 193 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs by : Annalisa Buffa

Download or read book IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs written by Annalisa Buffa and published by Springer. This book was released on 2016-10-05 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an introduction to isogeometric methods with a focus on their mathematical foundations, this book is composed of four chapters, each devoted to a topic of special interests for isogeometric methods and their theoretical understanding. It contains a tutorial on splines and generalizations that are used in CAD parametrizations, and gives an overview of geometric modeling techniques that can be used within the isogeometric approach, with a focus on non-tensor product splines. Finally, it presents the mathematical properties of isogeometric spaces and spline spaces for vector field approximations, and treats in detail an application of fundamental importance: the isogeometric simulation of a viscous incompressible flow. The contributions were written by Carla Manni and Hendrik Speelers, Vibeke Skytt and Tor Dokken, Lourenco Beirao da Veiga, Annalisa Buffa, Giancarlo Sangalli and Rafael Vazquez, and finally by John Evans and Thomas J.R. Hughes.

Computation of Curves and Surfaces

Author : Wolfgang Dahmen
Publisher : Springer Science & Business Media
ISBN 13 : 9400920172
Total Pages : 537 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Computation of Curves and Surfaces by : Wolfgang Dahmen

Download or read book Computation of Curves and Surfaces written by Wolfgang Dahmen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assembled here is a collection of articles presented at a NATO ADVANCED STU DY INSTITUTE held at Puerto de la Cruz, Tenerife, Spain during the period of July 10th to 21st, 1989. In addition to the editors of these proceedings Professor Larry L. Schumaker from Vanderbilt University, Nashville, Tennessee, served as a member of the international organizing committee. The contents of the contribu tions fall within the heading of COMPUTATION OF CURVES AND SURFACES and therefore address mathematical and computational issues pertaining to the dis play, modeling, interrogation and representation of complex geometrical objects in various scientific and technical environments. As is the intent of the NATO ASI program the meeting was two weeks in length and the body of the scientific activities was organized around prominent experts. Each of them presented lectures on his current research activity. We were fortunate to have sixteen distinguished invited speakers representing nine NATO countries: W. Bohm (Federal Republic of Germany), C. de Boor (USA), C.K. Chui (USA), W. Dahmen (Federal Republic of Germany), F. Fontanella (Italy), M. Gasca (Spain), R. Goldman (Canada), T.N.T. Goodman (UK), J.A. Gregory (UK), C. Hoffman (USA), J. Hoschek (Federal Republic of Germany), A. Le Mehaute (France), T. Lyche (Norway), C.A. Micchelli (USA), 1.1. Schumaker (USA), C. Traas (The Netherlands). The audience consisted of both young researchers as well as established scientists from twelve NATO countries and several non-NATO countries.

Advances in Computer Science, Environment, Ecoinformatics, and Education, Part II

Author : Sally Lin
Publisher : Springer Science & Business Media
ISBN 13 : 3642233236
Total Pages : 649 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Advances in Computer Science, Environment, Ecoinformatics, and Education, Part II by : Sally Lin

Download or read book Advances in Computer Science, Environment, Ecoinformatics, and Education, Part II written by Sally Lin and published by Springer Science & Business Media. This book was released on 2011-08-09 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 5-volume set (CCIS 214-CCIS 218) constitutes the refereed proceedings of the International Conference on Computer Science, Environment, Ecoinformatics, and Education, CSEE 2011, held in Wuhan, China, in July 2011. The 525 revised full papers presented in the five volumes were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on information security, intelligent information, neural networks, digital library, algorithms, automation, artificial intelligence, bioinformatics, computer networks, computational system, computer vision, computer modelling and simulation, control, databases, data mining, e-learning, e-commerce, e-business, image processing, information systems, knowledge management and knowledge discovering, mulitimedia and its apllication, management and information system, moblie computing, natural computing and computational intelligence, open and innovative education, pattern recognition, parallel and computing, robotics, wireless network, web application, other topics connecting with computer, environment and ecoinformatics, modeling and simulation, environment restoration, environment and energy, information and its influence on environment, computer and ecoinformatics, biotechnology and biofuel, as well as biosensors and bioreactor.