Curves and surfaces for computer aided geometric design : a practical guide /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Farin, Gerald E.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston : Academic Press, �1993.
Edición:3rd ed.
Colección:Computer science and scientific computing.
Temas:
Computer graphics.
Infographie.
computer graphics.
Computer graphics
Geometrische Modellierung
Graphics > Use of > Computers
Acceso en línea:Texto completo

MARC

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040 |a OCLCE  |b eng  |e pn  |c OCLCE  |d OCLCQ  |d OCLCF  |d OCLCO  |d OPELS  |d YDXCP  |d OCLCQ  |d OCLCA  |d UKAHL  |d VLY  |d INARC  |d OCLCQ  |d OCLCO  |d OCLCQ  |d OCLCO 
019 |a 1100977163  |a 1162340127 
020 |a 0122490525  |q (electronic bk.) 
020 |a 9780122490521  |q (electronic bk.) 
020 |a 9781483296999  |q (e-book) 
020 |a 1483296997 
035 |a (OCoLC)655503221  |z (OCoLC)1100977163  |z (OCoLC)1162340127 
050 4 |a T385  |b .F37 1993 
082 0 4 |a 006.6  |2 20 
100 1 |a Farin, Gerald E. 
245 1 0 |a Curves and surfaces for computer aided geometric design :  |b a practical guide /  |c Gerald Farin. 
250 |a 3rd ed. 
260 |a Boston :  |b Academic Press,  |c �1993. 
300 |a 1 online resource (xvii, 473 pages, 4 unnumbered pages of plates) :  |b illustrations (some color) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Computer science and scientific computing 
504 |a Includes bibliographical references (pages 435-464) and index. 
588 0 |a Print version record. 
520 |a 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. 
505 0 |a Front Cover; Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide; Copyright Page; Table of Contents; Preface; Chapter 1. P. B�ezier: How a Simple System Was Born; Chapter 2. Introductory Material; 2.1 Points and Vectors; 2.2 Affine Maps; 2.3 Linear Interpolation; 2.4 Piecewise Linear Interpolation; 2.5 Menelaos' Theorem; 2.6 Function Spaces; 2.7 Problems; Chapter 3. The de Casteljau Algorithm; 3.1 Parabolas; 3.2 The de Casteljau Algorithm; 3.3 Some Properties of B�ezier Curves; 3.4 The Blossom; 3.5 Implementation; 3.6 Problems 
505 8 |a Chapter 4. The Bernstein Form of a B�ezier Curve4.1 Bernstein Polynomials; 4.2 Properties of B�ezier Curves; 4.3 The Derivative of a B�ezier Curve; 4.4 Higher Order Derivatives; 4.5 Derivatives and the de Casteljau Algorithm; 4.6 Subdivision; 4.7 Blossom and Polar; 4.8 The Matrix Form of a B�ezier Curve; 4.9 Implementation; 4.10 Problems; Chapter 5. B�ezier Curve Topics; 5.1 Degree Elevation; 5.2 Repeated Degree Elevation; 5.3 The Variation Diminishing Property; 5.4 Degree Reduction; 5.5 Nonparametric Curves; 5.6 Cross Plots; 5.7 Integrals; 5.8 The B�ezier Form of a B�ezier Curve 
505 8 |a 5.9 The Barycentric Form of a B�ezier Curve5.10 The Weierstrass Approximation Theorem; 5.11 Formulas for Bernstein Polynomials; 5.12 Implementation; 5.13 Problems; Chapter 6. Polynomial Interpolation; 6.1 Aitken's Algorithm; 6.2 Lagrange Polynomials; 6.3 The Vandermonde Approach; 6.4 Limits of Lagrange Interpolation; 6.5 Cubic Hermite Interpolation; 6.6 Quintic Hermite Interpolation; 6.7 The Newton Form and Forward Differencing; 6.8 Implementation; 6.9 Problems; Chapter 7. Spline Curves in B�ezier Form; 7.1 Global and Local Parameters; 7.2 Smoothness Conditions; 7.3 C1 Continuity 
505 8 |a 7.4 C2 Continuity7.5 Finding a C1 Parametrization; 7.6 C1 Quadratic B-spline Curves; 7.7 C2 Cubic B-spline Curves; 7.8 Parametrizations; 7.9 Design and Inverse Design; 7.10 Implementation; 7.11 Problems; Chapter 8. Piecewise Cubic Interpolation; 8.1 C1 Piecewise Cubic Hermite Interpolation; 8.2 C1 Piecewise Cubic Interpolation I; 8.3 C1 Piecewise Cubic Interpolation II; 8.4 Point-Normal Interpolation; 8.5 Font Generation; 8.6 Problems; Chapter 9. Cubic Spline Interpolation; 9.1 The B-spline Form; 9.2 The Hermite Form; 9.3 End Conditions; 9.4 Parametrization; 9.5 The Minimum Property 
505 8 |a 9.6 Implementation9.7 Problems; Chapter 10. B-splines; 10.1 Motivation; 10.2 Knot Insertion; 10.3 The de Boor Algorithm; 10.4 Smoothness of B-spline Curves; 10.5 The B-spline Basis; 10.6 Two Recursion Formulas; 10.7 Repeated Knot Insertion; 10.8 Additional Material; 10.9 B-spline Blossoms; 10.10 B-spline Basics; 10.11 Implementation; 10.12 Problems; Chapter 11. W. Boehm: Differential Geometry I; 11.1 Parametric Curves and Arc Length; 11.2 The Frenet Frame; 11.3 Moving the Frame; 11.4 The Osculating Circle; 11.5 Nonparametric Curves; 11.6 Composite Curves; Chapter 12. Geometric Continuity I 
546 |a English. 
650 0 |a Computer graphics. 
650 6 |a Infographie.  |0 (CaQQLa)201-0061849 
650 7 |a computer graphics.  |2 aat  |0 (CStmoGRI)aat300053170 
650 7 |a Computer graphics  |2 fast  |0 (OCoLC)fst00872119 
650 7 |a Geometrische Modellierung  |2 gnd  |0 (DE-588)4156717-1 
653 0 |a Graphics  |a Use of  |a Computers 
776 0 8 |i Print version:  |a Farin, Gerald E.  |t Curves and surfaces for computer aided geometric design.  |b 3rd ed.  |d Boston : Academic Press, �1993  |w (DLC) 92026864  |w (OCoLC)26503351 
830 0 |a Computer science and scientific computing. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780122490521  |z Texto completo 

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