Mathematical Methods in Computer Aided Geometric Design: v. 2

Mathematical Methods in Computer Aided Geometric Design: v. 2

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This volume is based on an international conference held in June 1991, and contains tutorial and original research-level papers on mathematical methods in CAGD and image processing. Leading researchers (Barnsley, Chui, Seidell, de Casteljau) have authored invited survey papers on spline and Bezier methods for curve and surface modeling, visualization, and data fitting as well as connections with wavelets and fractals, and their applications in image processing. This is a very successful area with the dual computer graphics/applied mathematics market.
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Product details

  • Paperback | 648 pages
  • 157.48 x 231.14 x 35.56mm | 1,065.94g
  • Academic Press Inc
  • San Diego, United States
  • English
  • index
  • 0124605109
  • 9780124605107

Table of contents

Symmetrizing multiaffine polynomials, P.J. Barry; norm estimates for inverses of distance matrices, B.J.C. Baxter; numerical treatment of surface-surface-intersection and contouring, K.-H. Brakhage; modelling closed surfaces - a comparison of existing methods, P. Brunet and A. Vinacua; a new characterization of plane elastica, G. Brunnett; POLynomials, POLar forms, and interPOL-ation, Casteljau; pyramid patches provide potential polynomial paradigms, A.S. Cavaretta and C.A. Micchelli; implicitizing rational surfaces with base points by applying perturbations and the factors of zero theorem, E.-W. Chionh and R.C. Goldman; wavelets and multiscale interpolation, C.K. Chui and X. Shi; a curve intersection algorithm with processing of singular cases - introduction of a clipping technique, M. Daniel; best approximation of parametric curves by splines, W.L.F. Degen; an approximately G1 cubic surface interpolant, T. DeRose and S. Mann; on the G2 continuity of piecewise parametric surfaces, W. Du and F.J.M. Schmitt; stationary and non-stationary binary subdivision schemes, N. Dyn and D. Levin; MQ-curves are curves in tension, M. Eck; offset approximation improvement by control point perturbation, G. Elber and E. Cohen; curves and surfaces in geometrical optics, R.T. Farouki and J.-C.A. Chastang; evaluation and properties of a derivative of a NURBS curve, M.S. Floater; hybrid cubic Bezier triangle patches, T.A. Foley and K. Opitz; modelling geological structures using splines, L.A. Froyland, et al; wonderful triangle - a simple, unified, algorithmic approach to change of basis procedures in computer aided geometric design, R.N. Goldman; an arbitrary mesh network scheme using rational splines, J.A. Gregory and P.K. Yuen; Bezier curves and surface patches on quadrics, J. Hoschek; monotonicity preserving interplation using C2 rational cubic Bezier curves, M.K. Ismail; on piecewise quadratic G2 approximation and interplation, J. Kozak and M. Lokar; non-affine blossoms and subdivision for Q-splines, R. Kulkarni. Part contents.
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