Geometric Continuity Of Curves And Surfaces

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Geometric Continuity of Curves and Surfaces

Author : Przemysław Kiciak
Publisher : Springer Nature
ISBN 13 : 3031025903
Total Pages : 233 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Geometric Continuity of Curves and Surfaces by : Przemysław Kiciak

Download or read book Geometric Continuity of Curves and Surfaces written by Przemysław Kiciak and published by Springer Nature. This book was released on 2022-05-31 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for students, CAD system users and software developers who are interested in geometric continuity—a notion needed in everyday practice of Computer-Aided Design and also a hot subject of research. It contains a description of the classical geometric spline curves and a solid theoretical basis for various constructions of smooth surfaces. Textbooks on computer graphics usually cover the most basic and necessary information about spline curves and surfaces in order to explain simple algorithms. In textbooks on geometric design, one can find more details, more algorithms and more theory. This book teaches how various parts of the theory can be gathered together and turned into constructions of smooth curves and smooth surfaces of arbitrary topology. The mathematical background needed to understand this book is similar to what is necessary to read other textbooks on geometric design; most of it is basic linear algebra and analysis. More advanced mathematical material is introduced using elementary explanations. Reading Geometric Continuity of Curves and Surfaces provides an excellent opportunity to recall and exercise necessary mathematical notions and it may be your next step towards better practice and higher understanding of design principles.

Curves and Surfaces in Geometric Modeling

Author : Jean H. Gallier
Publisher : Morgan Kaufmann
ISBN 13 : 9781558605992
Total Pages : 512 pages
Book Rating : 4.6/5 (59 download)

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Book Synopsis Curves and Surfaces in Geometric Modeling by : Jean H. Gallier

Download or read book Curves and Surfaces in Geometric Modeling written by Jean H. Gallier and published by Morgan Kaufmann. This book was released on 2000 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Curves and Surfaces in Geometric Modeling: Theory and Algorithms offers a theoretically unifying understanding of polynomial curves and surfaces as well as an effective approach to implementation that you can apply to your own work as a graduate student, scientist, or practitioner." "The focus here is on blossoming - the process of converting a polynomial to its polar form - as a natural, purely geometric explanation of the behavior of curves and surfaces. This insight is important for more than just its theoretical elegance - the author demonstrates the value of blossoming as a practical algorithmic tool for generating and manipulating curves and surfaces that meet many different criteria. You'll learn to use this and other related techniques drawn from affine geometry for computing and adjusting control points, deriving the continuity conditions for splines, creating subdivision surfaces, and more." "It will be an essential acquisition for readers in many different areas, including computer graphics and animation, robotics, virtual reality, geometric modeling and design, medical imaging, computer vision, and motion planning."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved

Curves and Surfaces for CAGD

Author : Gerald E. Farin
Publisher : Morgan Kaufmann
ISBN 13 : 1558607374
Total Pages : 522 pages
Book Rating : 4.5/5 (586 download)

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Book Synopsis Curves and Surfaces for CAGD by : Gerald E. Farin

Download or read book Curves and Surfaces for CAGD written by Gerald E. Farin and published by Morgan Kaufmann. This book was released on 2002 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface -- Chapter 1 P. B̌ezier: How a Simple System Was Born -- Chapter 2 Introductory Material -- Chapter 3 Linear Interpolation -- Chapter 4 The de Casteljau Algorithm -- Chapter 5 The Bernstein Form of a B̌ezier Curve -- Chapter 6 B̌ezier Curve Topics -- Chapter 7 Polynomial Curve Constructions -- Chapter 8 B-Spline Curves -- Chapter 9 Constructing Spline Curves -- Chapter 10 W. Boehm: Differential Geometry I -- Chapter 11 Geometric Continuity -- Chapter 12 ConicSections -- Chapter 13 Rational B̌ezier and B-Spline Curves -- Chapter 14 Tensor Product Patches -- Chapter 15 Constructing Polynomial Patches -- Chapter 16 Composite Surfaces -- Chapter 17 B̌ezier Triangles -- Chapter 18 Practical Aspects of B̌ezier Triangles -- Chapter 19 W. Boehm: Differential Geometry II -- Chapter 20 GeometricContinuityforSurfaces -- Chapter 21 Surfaces with Arbitrary Topology -- Chapter 22 Coons Patches -- Chapter 23 Shape -- Chapter 24 Evaluation of Some Methods -- Appendix A Quick Reference of Curve ...

Geometric Continuity of Spline Curves and Surfaces

Author : University of Wisconsin--Madison. Computer Sciences Dept
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (179 download)

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Book Synopsis Geometric Continuity of Spline Curves and Surfaces by : University of Wisconsin--Madison. Computer Sciences Dept

Download or read book Geometric Continuity of Spline Curves and Surfaces written by University of Wisconsin--Madison. Computer Sciences Dept and published by . This book was released on 1986 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Intuitive Approach to Geometric Continuity for Parametric Curves and Surfaces

Author : Tony D. DeRose
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis An Intuitive Approach to Geometric Continuity for Parametric Curves and Surfaces by : Tony D. DeRose

Download or read book An Intuitive Approach to Geometric Continuity for Parametric Curves and Surfaces written by Tony D. DeRose and published by . This book was released on 1986 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report defines the nth order geometric continuity for parametric curves and surfaces, and derived the Beta constraints that are necessary and sufficient for it. Derivation of the Beta constraints is based on a simple principle of reparametrisation in conjunction with the univariate chain rule for curves, and the bivariate chain rule for surfaces. This approach uncovers the connection between geometric continuity for curves and geometric continuity for surfaces, provides new insight into the nature of geometric continuity in general, and allows the determination of the Beta constraints with less effort than previously required. Use of the Beta constraints for G to the nth power continuity allows the introduction of n shape parameters for curves, and n (n +3) shape functions for surfaces. The shape parameters and shape functions may be used to modify the shape of a geometrically continuous curve or surface, respectively. However, geometric continuity is only appropriate for applications where rate aspects of the parametrisations are unimportant since discontinuities in rate are allowed. (Reprints).

Designing Fair Curves and Surfaces

Author : Nickolas S. Sapidis
Publisher : SIAM
ISBN 13 : 0898713323
Total Pages : 316 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Designing Fair Curves and Surfaces by : Nickolas S. Sapidis

Download or read book Designing Fair Curves and Surfaces written by Nickolas S. Sapidis and published by SIAM. This book was released on 1994-01-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors define fairness mathematically, demonstrate how newly developed curve and surface schemes guarantee fairness, and assist the user in identifying and removing shape aberrations in a surface model without destroying the principal shape characteristics of the model. A valuable resource for engineers working in CAD, CAM, or computer-aided engineering.

Curves and Surfaces for Computer-aided Geometric Design

Author : Gerald E. Farin
Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Curves and Surfaces for Computer-aided Geometric Design by : Gerald E. Farin

Download or read book Curves and Surfaces for Computer-aided Geometric Design written by Gerald E. Farin and published by . This book was released on 1997 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer disk contains: "data sets, as well as all of the C routines found in the book."

Curves and Surfaces

Author : Pierre-Jean Laurent
Publisher : CRC Press
ISBN 13 : 1439863598
Total Pages : 490 pages
Book Rating : 4.4/5 (398 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 CRC Press. This book was released on 1994-07-15 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume documents the results and presentations, related to aspects of geometric design, of the Second International Conference on Curves and Surfaces, held in Chamonix in 1993. The papers represent directions for future research and development in many areas of application. From the table of contents: - Object Oriented Spline Software - An Int

Curve and Surface Design

Author : Hans Hagen
Publisher : SIAM
ISBN 13 : 0898712815
Total Pages : 205 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Curve and Surface Design by : Hans Hagen

Download or read book Curve and Surface Design written by Hans Hagen and published by SIAM. This book was released on 1992-01-01 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of ideas and results on topics of curve and surface design is intended for research in the academic environment as well as for practical use in industrial applications. Main emphasis is on minimal energy splines and geometric spline curves, and on techniques beyond tensor product surfaces.

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

Geometric Continuity

Author : Anthony David DeRose
Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.:/5 (29 download)

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Book Synopsis Geometric Continuity by : Anthony David DeRose

Download or read book Geometric Continuity written by Anthony David DeRose and published by . This book was released on 1985 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Curves and Surfaces in Computer Aided Geometric Design

Author : Fujio Yamaguchi
Publisher : Springer Science & Business Media
ISBN 13 : 3642489524
Total Pages : 389 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Curves and Surfaces in Computer Aided Geometric Design by : Fujio Yamaguchi

Download or read book Curves and Surfaces in Computer Aided Geometric Design written by Fujio Yamaguchi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains various types of mathematical descriptions of curves and surfaces, such as Ferguson, Coons, Spline, Bézier and B-spline curves and surfaces. The materials are classified and arranged in a unified way so that beginners can easily understand the whole spectrum of parametric curves and surfaces. This book will be useful to many researchers, designers, teachers, and students who are working on curves and surfaces. The book can be used as a textbook in computer aided design classes.

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.

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.

Geometric Continuity of Parametric Curves and Surfaces

Author : Günter Aumann
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (312 download)

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Book Synopsis Geometric Continuity of Parametric Curves and Surfaces by : Günter Aumann

Download or read book Geometric Continuity of Parametric Curves and Surfaces written by Günter Aumann and published by . This book was released on 1994 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Differential Geometry of Curves and Surfaces

Author : Thomas F. Banchoff
Publisher : CRC Press
ISBN 13 : 148224747X
Total Pages : 286 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Differential Geometry of Curves and Surfaces by : Thomas F. Banchoff

Download or read book Differential Geometry of Curves and Surfaces written by Thomas F. Banchoff and published by CRC Press. This book was released on 2016-04-05 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Geometry of Curves and Surfaces, Second Edition takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students' geometric intuition through interactive computer graphics applets suppor