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020 _a9789351070382
040 _c0
082 _a514.681
_bFAR
100 _aFarin, Gerald
245 _aCurves and Surfaces for CAGD:A Practical Guide
250 _a5th ed.
260 _aAmsterdam :
_bElsevier,
_c2002.
300 _axvii, 499 pages :
_billustrations,
_c24 cm.
505 _tChapter 1 P. B̌ezier: How a Simple System Was Born --
_tChapter 2 Introductory Material --
_tChapter 3 Linear Interpolation --
_tChapter 4 The de Casteljau Algorithm --
_tChapter 5 The Bernstein Form of a B̌ezier Curve --
_tChapter 6 B̌ezier Curve Topics --
_tChapter 7 Polynomial Curve Constructions --
_tChapter 8 B-Spline Curves --
_tChapter 9 Constructing Spline Curves --
_tChapter 10 W. Boehm: Differential Geometry I --
_tChapter 11 Geometric Continuity --
_tChapter 12 ConicSections --
_tChapter 13 Rational B̌ezier and B-Spline Curves --
_tChapter 14 Tensor Product Patches --
_tChapter 15 Constructing Polynomial Patches --
_tChapter 16 Composite Surfaces --
_tChapter 17 B̌ezier Triangles --
_tChapter 18 Practical Aspects of B̌ezier Triangles --
_tChapter 19 W. Boehm: Differential Geometry II --
_tChapter 20 GeometricContinuityforSurfaces --
_tChapter 21 Surfaces with Arbitrary Topology --
_tChapter 22 Coons Patches --
_tChapter 23 Shape --
_tChapter 24 Evaluation of Some Methods --
520 _aThis fifth edition has been fully updated to cover the many advances made in CAGD and curve and surface theory since 1997, when the fourth edition appeared. Material has been restructured into theory and applications chapters. The theory material has been streamlined using the blossoming approach; the applications material includes least squares techniques in addition to the traditional interpolation methods. In all other respects, it is, thankfully, the same. This means you get the informal, friendly style and unique approach that has made Curves and Surfaces for CAGD: A Practical Guide a true classic. The book's unified treatment of all significant methods of curve and surface design is heavily focused on the movement from theory to application. The author provides complete C implementations of many of the theories he discusses, ranging from the traditional to the leading-edge. You'll gain a deep, practical understanding of their advantages, disadvantages, and interrelationships, and in the process you'll see why this book has emerged as a proven resource for thousands of other professionals and academics. * Provides authoritative and accessible information for those working with or developing computer-aided geometric design applications. * Covers all significant CAGD curve and surface design techniques-from the traditional to the experimental. * Includes a new chapter on recursive subdivision and triangular meshes. * Presents topical programming exercises useful to professionals and students alike. * Offers complete C implementations of many of the book's examples via a companion Web site.
650 _aComputer-aided design
650 _aComputer graphics
650 _aSurfaces
650 _aCurves, Algebraic
650 _aEngineering
942 _2ddc
_cBK