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Farin G. — Curves and surfaces for computer aided geometric design
Farin G. — Curves and surfaces for computer aided geometric design



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Название: Curves and surfaces for computer aided geometric design

Автор: Farin G.

Аннотация:

This unified treatment of curve and surface design concepts is the Fourth Edition of the popular text, Curves and Surfaces for Computer-Aided Geometric Design, Third Edition (Academic Press, 1992). Assuming only a background in calculus and basic linear algebra, this revised and updated classic is highly accessible and should be of interest to a wide audience; from computer graphics hobbyists to software developers for CAD/CAM systems. The author's informal style makes this book very reader-friendly, and the IBM disk included in the back of the book will allow the user to gain first-hand experience with the concepts as they are explained.
This book focuses on Bezier and B-spline methods for curves, rational Bezier and B-spline curves, geometric continuity, spline interpolation, and Coons methods. In this Fourth Edition, the content has been thoroughly revised and updated to include a new chapter on recursive subdivision, new material on nonrectangular topology, surface faceting, stereo lithography, and new sections on triangulations and scattered data interpolants. The disk provided in the back of the book has also been updated to include all of the data sets and the C code used in the book.

Features:
- Covers tensor product Bezier surfaces
- Includes a chapter on recursive subdivisions
- Incorporates new material on surface faceting, stereo lithography, and nonrectangular topology
- Provides many C programs and data sets on the IBM disk included with the book


Язык: en

Рубрика: Computer science/Вычислительная геометрия/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: fourth edition

Год издания: 1997

Количество страниц: 429

Добавлена в каталог: 16.11.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Spline, quadratic      96
Stability of the monomial form      373
Staerk, E.      54 99
Stancu, D.      279
Standard cubic      43
Standard form for a rational Bezier curve      222 268
Standard form for conics      202
Steiner, J.      202
Storage of B-spline curves      159 376
Straight line      19
Strain energy      137
Su, B.      364
Subdivision      53
Subdivision in terms of Bernstein polynomials      78
Subdivision of Bezier curves      53
Subdivision of Bezier patches      244
Subdivision of Bezier triangles      290
Subdivision of rational Bezier curves      219
subspace      30
surface      9
Surface of revolution      270
Swimmer, A.      32
Symmetric functions      41 282
Symmetry      47 105 109
Tangent, length      376
Tangent, plane of Bezier triangle      287
Tangent, ribbon      333
Tangent, vector      52 113 173
Taylor series      51
Tension      184
Tensor product      232 342
Tensor product, interpolant      333
Tensor product, interpolation      376
Tensor product, surfaces      231
tetrahedron      307
Theorema egregium      355
Thiessen region      26
Thomas, S.      159
Three tangent theorem      34
Tiller, W      215 300
Torsion      174
Torsion of a nonparametric curve      178
Torsion of a rational Bezier curve      176 177 220
Torsion, continuity      194
Torus      270
Transfinite interpolation      326 327 341
Translation      13 17
Translational surface      248 262 340
Transposant      274
Triangle, area of      24
Triangle, numbers      280
Triangulation      28
Triangulation, data dependent      29
Trimmed surfaces      274
Trinomial coefficient      283
Trivariate B-splines      272
Trivial reject      55
Twist, estimation      334
Twist, incompatibility      347
Twist, variable      337
Twist, vector      247
Type check      16
Umbilical point      354
Uniform parametrization      110 211
Unit, interval      20
Unit, sphere      299
Unit, square      232
Valency      318
Van Wijk, J.      308
Vandermonde      86 251
Varady, T.      377
Variable twists      337
Variation augmentation      84
Variation diminishing property      21 31 67 84 105 109 194
Variation diminishing property for B-spline curves      159
Variation diminishing property for Bezier patches      240
Variation diminishing property of rational Bezier curves      216
Variation diminution      146
Vectors      13
Vemet, R      74
Veron, M.      308
Vesprille, K.      213 224
Vigo, M.      276
Vinacua, A.      308
Volume distortion      270
Voronoi diagram      26
Wang, X.      49
Watkins, M.      69
Weierstrass approximation theorem      77
Weight points      204 208 218 221 297
Weights      202
Weights of rational Bezier curves      215
Wolter, F.      316 362
Worsey, A.      69 221 307
Yamaguchi, F.      125
Zero tangent vector      100
Zero twist      262 332 340
Zhou, J.      67
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