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Curves and Surfaces in Computer Aided Geometric Design

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Release : 2012-12-06
Genre : Computers
Kind : eBook
Book Rating : 524/5 ( reviews)

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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. This book was released on 2012-12-06. 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.

Curves and Surfaces for Computer-aided Geometric Design

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Author :
Release : 1997
Genre : Computers
Kind : eBook
Book Rating : /5 ( reviews)

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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. This book was released on 1997. 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 for Computer-Aided Geometric Design

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Release : 2014-06-28
Genre : Mathematics
Kind : eBook
Book Rating : 997/5 ( reviews)

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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. This book was released on 2014-06-28. 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

Curves and Surfaces for CAGD

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Author :
Release : 2002
Genre : Computers
Kind : eBook
Book Rating : 374/5 ( reviews)

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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. This book was released on 2002. 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 ...

Computer Aided Geometric Design

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Release : 2014-05-10
Genre : Technology & Engineering
Kind : eBook
Book Rating : 489/5 ( reviews)

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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. This book was released on 2014-05-10. 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.

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