Computation of Curves and Surfaces / Edition 1

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Editorial Reviews

Computing and manipulating with curves and surfaces is an important issue in various areas of applied mathematics and technology, and draws upon a diversity of techniques and algorithms from different fields of mathematics and computer science. The common ground in these articles is an interest in mathematical ideas relating to algorithmic issues in the geometry of curves and surfaces. The contributions are grouped under four headings: discrete methods for curve and surface representation; interpolation and data fitting; multivariate splines and applications; and differential and algebraic geometric techniques. No index. Annotation c. Book News, Inc., Portland, OR (
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Product Details

  • ISBN-13: 9780792307242
  • Publisher: Springer Netherlands
  • Publication date: 4/30/1990
  • Series: Nato Science Series C: (closed), #307
  • Edition description: 1990
  • Edition number: 1
  • Pages: 536
  • Product dimensions: 1.25 (w) x 9.21 (h) x 6.14 (d)

Table of Contents

I. Discrete Methods for Curves and Surface Representation.- Stationary Subdivision, Fractals and Wavelets.- Recursive Triangles.- Exact and Approximate Conversion of Spline Curves and Spline Surfaces.- Discrete B-splines and Conversion Problems.- II. Interpolation and Data Fitting.- Vertex Splines and their Applications to Interpolation of Discrete Data.- Shape Preserving Interpolation.- Multivariate Polynomial Interpolation.- A Finite Element Approach to Surface Reconstruction.- Reconstructing 3D Objects from Cross-Sections.- III. Multivariate Splines and Applications.- Quasiinterpolants and Approximation Power of Multivariate Splines.- Polyhedral Splines.- Practice of Bivariate Quadratic Simplicial Splines.- IV. Algebraic and Differential Geometric Techniques.- Algebraic and Differential Geometric Methods in C.A.G.D..- Smooth Parametric Surfaces and n-Sided Patches.- Algebraic and Numerical Techniques for Offsets and Blends.- List of Attendants.- Contributed papers.- Poster Presentations.

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