Mathematical Methods in Computer Aided Geometric Design II

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Publisher : Academic Press
ISBN 13 : 1483257983
Total Pages : 649 pages
Book Rating : 4.4/5 (832 download)

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

Download or read book Mathematical Methods in Computer Aided Geometric Design II written by Tom Lyche and published by Academic Press. This book was released on 2014-05-10 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods in Computer Aided Geometric Design II covers the proceedings of the 1991 International Conference on Curves, Surfaces, CAGD, and Image Processing, held at Biri, Norway. This book contains 48 chapters that include the topics of blossoming, cyclides, data fitting and interpolation, and finding intersections of curves and surfaces. Considerable chapters explore the geometric continuity, geometrical optics, image and signal processing, and modeling of geological structures. The remaining chapters discuss the principles of multiresolution analysis, NURBS, offsets, radial basis functions, rational splines, robotics, spline and Bézier methods for curve and surface modeling, subdivision, terrain modeling, and wavelets. This book will prove useful to mathematicians, computer scientists, and advance mathematics students.

Mathematical Methods in Computer Aided Geometric Design

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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.

Computer Aided Geometric Design

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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.

Mathematical Methods of Computer Aided Geometric Design

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Publisher :
ISBN 13 :
Total Pages : 99 pages
Book Rating : 4.:/5 (848 download)

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Book Synopsis Mathematical Methods of Computer Aided Geometric Design by : Florencio I. Utreras

Download or read book Mathematical Methods of Computer Aided Geometric Design written by Florencio I. Utreras and published by . This book was released on 1990 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Computer Aided Geometric Design

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Author :
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.

Mathematical Methods in Computer Aided Geometric Design

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (878 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 . This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods for CAD

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Publisher : Cambridge University Press
ISBN 13 : 9780521436915
Total Pages : 204 pages
Book Rating : 4.4/5 (369 download)

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Book Synopsis Mathematical Methods for CAD by : J. J. Risler

Download or read book Mathematical Methods for CAD written by J. J. Risler and published by Cambridge University Press. This book was released on 1992-08-13 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: As computers become the mainstay of most engineering design practices, there has been a growing interest in the theory of computational geometry and computer aided design.

Shape Preserving Representations in Computer-aided Geometric Design

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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

Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821802917
Total Pages : 669 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics by : Walter Gautschi

Download or read book Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics written by Walter Gautschi and published by American Mathematical Soc.. This book was released on 1994 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of an International Conference held in Vancouver, B.C., August 1993, to commemorate the 50th anniversary of the founding of the journal Mathematics of Computation. It consisted of a Symposium on Numerical Analysis and a Minisymposium of Computational Number Theory. This proceedings contains 14 invited papers, including two not presented at the conference--an historical essay on integer factorization, and a paper on componentwise perturbation bounds in linear algebra. The invited papers present surveys on the various subdisciplines covered by Mathematics of Computation, in a historical perspective and in a language accessible to a wide audience. The 46 contributed papers address contemporary specialized work. Annotation copyright by Book News, Inc., Portland, OR

Geometric Modelling

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Publisher : Springer Science & Business Media
ISBN 13 : 370916916X
Total Pages : 317 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Geometric Modelling by : Gerald Farin

Download or read book Geometric Modelling written by Gerald Farin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume experts from university and industry are presenting new technologies for solving industrial problems as well as important and practicable impulses for new research. The following topics are treated: - solid modelling - geometry processing - feature modelling - product modelling - surfaces over arbitrary topologies - blending methods - scattered data algorithms - smooting and fairing algorithms - NURBS 21 articles are giving a state-of-the-art survey of the relevant problems and issues in the rapidly growing area of geometric modelling.

Shape Interrogation for Computer Aided Design and Manufacturing

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Publisher : Springer Science & Business Media
ISBN 13 : 3642040748
Total Pages : 420 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Shape Interrogation for Computer Aided Design and Manufacturing by : Nicholas M. Patrikalakis

Download or read book Shape Interrogation for Computer Aided Design and Manufacturing written by Nicholas M. Patrikalakis and published by Springer Science & Business Media. This book was released on 2009-11-27 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between the areas geometric modeling and solid modeling. Apart from the differential geometry topics covered, the entire book is based on the unifying concept of recasting all shape interrogation problems to the solution of a nonlinear system. It provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, and geodesics.

Total Positivity and Its Applications

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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.

Geometric Modeling: Techniques, Applications, Systems and Tools

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Publisher : Springer Science & Business Media
ISBN 13 : 9401716897
Total Pages : 449 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Geometric Modeling: Techniques, Applications, Systems and Tools by : Muhammad Sarfraz

Download or read book Geometric Modeling: Techniques, Applications, Systems and Tools written by Muhammad Sarfraz and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Aided techniques, Applications, Systems and tools for Geometric Modeling are extremely useful in a number of academic and industrial settings. Specifically, Computer Aided Geometric Modeling (CAGM) plays a significant role in the construction of - signing and manufacturing of various objects. In addition to its cri- cal importance in the traditional fields of automobile and aircraft manufacturing, shipbuilding, and general product design, more - cently, the CAGM methods have also proven to be indispensable in a variety of modern industries, including computer vision, robotics, medical imaging, visualization, and even media. This book aims to provide a valuable source, which focuses on - terdisciplinary methods and affiliate research in the area. It aims to provide the user community with a variety of Geometric Modeling techniques, Applications, systems and tools necessary for various real life problems in the areas such as: Font Design Medical Visualization Scientific Data Visualization Archaeology Toon Rendering Virtual Reality Body Simulation It also aims to collect and disseminate information in various dis- plines including: Curve and Surface Fitting Geometric Algorithms Scientific Visualization Shape Abstraction and Modeling Intelligent CAD Systems Computational Geometry Solid Modeling v Shape Analysis and Description Industrial Applications The major goal of this book is to stimulate views and provide a source where researchers and practitioners can find the latest dev- opments in the field of Geometric Modeling.

Scattered Data Interpolation Using Combination Method of Triangular Patches

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Publisher : UUM Press
ISBN 13 : 9670474027
Total Pages : 73 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis Scattered Data Interpolation Using Combination Method of Triangular Patches by : Azizan Saaban

Download or read book Scattered Data Interpolation Using Combination Method of Triangular Patches written by Azizan Saaban and published by UUM Press. This book was released on 2012-01-02 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a comprehensive report on scattered data interpolation using combination method of triangular patches where the interpolating surface comprise the combination of quintic Hermite and interior interpolation operators. It is based on the findings of a university grant research project sponsored by Universiti Utara Malaysia. In particular, the contents of this monograph are useful for students and researchers especially in the area of Computer Aided Geometric Design (CAGD) and generally the contents will also benefit academicians as well as practitioners who have interest in the application of the triangulation based interpolation method in real world problems.

Advances in Multiresolution for Geometric Modelling

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540214625
Total Pages : 456 pages
Book Rating : 4.2/5 (146 download)

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Book Synopsis Advances in Multiresolution for Geometric Modelling by : Neil Dodgson

Download or read book Advances in Multiresolution for Geometric Modelling written by Neil Dodgson and published by Springer Science & Business Media. This book was released on 2004-09-21 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail. Applications include fast visualization and rendering as well as coding, compression, and digital transmission of 3D geometric objects. This book marks the culmination of the four-year EU-funded research project, Multiresolution in Geometric Modelling (MINGLE). The book contains seven survey papers, providing a detailed overview of recent advances in the various fields within multiresolution modelling, and sixteen additional research papers. Each of the seven parts of the book starts with a survey paper, followed by the associated research papers in that area. All papers were originally presented at the MINGLE 2003 workshop held at Emmanuel College, Cambridge, UK, 9-11 September 2003.

Computing In Euclidean Geometry (2nd Edition)

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Publisher : World Scientific
ISBN 13 : 9814501638
Total Pages : 516 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Computing In Euclidean Geometry (2nd Edition) by : Ding-zhu Du

Download or read book Computing In Euclidean Geometry (2nd Edition) written by Ding-zhu Du and published by World Scientific. This book was released on 1995-01-25 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. Topics covered include the history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, computational algebra, triangulations, machine proofs, topological designs, finite-element mesh, computer-aided geometric designs and Steiner trees. This second edition contains three new surveys covering geometric constraint solving, computational geometry and the exact computation paradigm.

Geometric Modeling with Splines

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Publisher : CRC Press
ISBN 13 : 1439864209
Total Pages : 638 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Geometric Modeling with Splines by : Elaine Cohen

Download or read book Geometric Modeling with Splines written by Elaine Cohen and published by CRC Press. This book was released on 2001-07-18 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by researchers who have helped found and shape the field, this book is a definitive introduction to geometric modeling. The authors present all of the necessary techniques for curve and surface representations in computer-aided modeling with a focus on how the techniques are used in design. They achieve a balance between mathematical rigor