Handbook of Computer Aided Geometric DesignG. Farin, J. Hoschek, M.-S. Kim 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:
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Contents
Chapter 1 A History of Curves and Surfaces in CAGD | 1 |
Chapter 2 Geometric Fundamentals | 23 |
Chapter 3 Geometries for CAGD | 43 |
Chapter 4 Bézier Techniques | 75 |
Chapter 5 Rational Techniques | 111 |
Chapter 6 Spline Basics | 141 |
Chapter 7 Curve and Surface Constructions | 165 |
Chapter 8 Geometric Continuity | 193 |
Chapter 18 Voronoi Diagrams | 429 |
Chapter 19 The Medial Axis Transform | 451 |
Chapter 20 Solid Modeling | 473 |
Chapter 21 Parametric Modeling | 519 |
Chapter 22 Sculptured Surface NC Machining | 543 |
Chapter 23 Cyclides | 575 |
Chapter 24 Geometry Processing | 603 |
Chapter 25 Intersection Problems | 623 |
Chapter 9 Splines on Surfaces | 229 |
Chapter 10 Box Splines | 255 |
Chapter 11 Finite Element Approximation with Splines | 283 |
Chapter 12 Subdivision Surfaces | 309 |
Chapter 13 Interrogation of Subdivision Surfaces | 327 |
Chapter 14 Multiresolution Techniques | 343 |
Chapter 15 Algebraic Methods for Computer Aided Geometric Design | 363 |
Radial Basis and Other Methods | 389 |
Chapter 17 PythagoreanHodograph Curves | 405 |
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Common terms and phrases
affine Aided Geometric Design algebraic algorithm applications approach approximation B-spline Bézier curves Bézier patches boundary representation box spline CAGD Casteljau cells coefficients Computer Aided Geometric Computer Graphics Computer-Aided Design constraints construction control points control polygon convex hull coordinates corresponding cubic curvature curves and surfaces data points defined degree derivatives domain Dupin cyclides edges editors equations Euclidean example Farin Figure finite element free-form geometric continuity geometric modeling given Gröbner basis Hermite interpolation IEEE implicit intersection isoparametric curves knot L.L. Schumaker linear mapping Mathematics medial axis medial axis transform mesh methods motion normal NURBS offset p₁ parametric surface PH curves planar plane Pottmann problem projective properties quadratic quadric rational Bézier rational curves Section segments shape smooth solid modeling sphere spherical spline spaces subdivision tangent techniques tensor tool path topology triangles triangular V₁ vector vertex vertices visualization Voronoi diagram
References to this book
Fundamentals of Computer Graphics Peter Shirley,Michael Ashikhmin,Steve Marschner No preview available - 2005 |