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 axis Bspline basis Bézier Bézier curves boundary called cells Chapter circle common complex Computer Aided Geometric consider constraints construction continuity control points convex coordinates corresponding cubic curvature curve curves and surfaces deﬁned deﬁnition derivatives described detail determined developed direction distance domain edges editors elements equations example Figure ﬁrst functions give given hull interpolation intersection knot linear mapping Mathematics medial mesh methods modeling motion normal object obtained offset operations parametric particular patches piecewise plane points polygon polynomial position Press problem projective properties quadratic quadric rational region representation represented respect scheme segments shape shown simple smooth solution solving space sphere spline step structure subdivision tangent techniques tool transform triangles values vector vertices visualization Voronoi diagram weights
References to this book
Fundamentals of Computer Graphics Peter Shirley,Michael Ashikhmin,Steve Marschner No preview available  2005 