Handbook of Computer Aided Geometric DesignThis book provides a comprehensive coverage of the fields Geometric Modeling, ComputerAided Design, and Scientific Visualization, or ComputerAided Geometric Design. Leading international experts have contributed, thus creating a oneofakind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as applicationoriented 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
Aided Geometric Design algebraic algorithm applications approach approximation Bspline barycentric coordinates basis functions Bézier curves Bézier patches boundary representation box spline CAGD Casteljau cells coefﬁcients Computer Aided Geometric Computer Graphics ComputerAided Design constraints construction control points control polygon convex hull coordinates corresponding cubic curvature curves and surfaces data points deﬁned deﬁnition degree derivatives domain Dupin cyclides edges editors equations Euclidean example Farin Figure ﬁnd ﬁnite element ﬁrst ﬁtting freeform geometric continuity geometric modeling given Hermite interpolation IEEE implicit intersection isoparametric curves knot linear mapping Mathematics medial axis medial axis transform mesh methods motion normal NURBS offset parametric surface PH curves planar plane Pottmann problem projection properties quadratic quadric rational Bézier rational curves scheme Section segments shape smooth solid modeling solution speciﬁc sphere spherical spline spaces subdivision tangent techniques tensor tool path topology triangles triangular vertex vertices visualization Voronoi diagram
References to this book
Fundamentals of Computer Graphics Peter Shirley,Michael Ashikhmin,Steve Marschner No preview available  2005 