Computer-aided surface geometry and design : the mathematics of surfaces IV

書誌事項

Computer-aided surface geometry and design : the mathematics of surfaces IV

edited by Adrian Bowyer

(The Institute of Mathematics and its Applications conference series, new ser., 48)

Oxford University Press, c1994

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注記

"Based on the proceedings of the fourth conference on the mathematics of surfaces, organized by the Institute of Mathematics and Its Applications, and held at the University of Bath in September 1990."

内容説明・目次

内容説明

Describing the shapes of real objects for the purposes of engineering, architecture, medicine, and a host of other disciplines often requires complicated mathematics and subtle computer techniques. This volume describes the latest research in these areas, and is written by the foremost workers in the field from all over the world. This book is intended for postgraduates and researchers working in CAD, CAM, architecture, medical modelling, molecular modelling, geographical information, cartography, landscape.

目次

  • R.J. Goult: Standards for Curves and Surface Data Exchange
  • R.R. Martin: The Geometry of the Helical Canal Surface
  • J.C. Mason and R.P. Bennell: Efficient Multivariate Approximation Methods for Lines and Curves of Data
  • G. Farin: Shape Improvements for Curves and Surfaces
  • R.T. Farouki: Watch Your (Parametric) Speed!
  • D. Manocha and J.F. Canny: Algorithms for Implicitizing Rational Parametric Surfaces
  • C. Woodward: The Zero-Eye Subdivision Method for Ray Tracing Parametric Surfaces
  • J.J. Torrens, F.J. Seron and M.C. Lopez de Silanes: Fitting Non Regular Parametric Surfaces by Finite Element Methods
  • A. Dolenc and I. Makela: Optimized Triangulation of Parametric Surfaces
  • M.A. Sabin: A Symmetric Domain for a 6-sided Patch
  • A. Arnborg and J. Hollman: Computing Groebner Bases over Rational Function Fields
  • L. Langemyr: The Cylindrical Algebraic Decomposition Algorithm and Multiple Algebraic Extensions
  • Gabor Lukaks: Simple Singularities in Surface-Surface Intersections
  • U. Cugini, S. Radi and C. Rizzi: A System for Parametric Surface Intersection
  • P. Milne: The Volume Function
  • A.E. Middleditch: Ray Casting Set-theoretic Rolling Sphere Blends
  • M.H.E. Larcombe: Generalized Distance Functions and Plastic Modelling over an Armature
  • M. Nordgren and C. Woodward: Texture Mapping Functions and Surface Flattening
  • P.A. Roach and R.R. Martin: Fourier Methods for Surface Smoothing in Computer Aided Design
  • J.M. Brown, M.I.G. Bloor, M.S. Bloor, M.J. Wilson and H. Nowacki: Properties of the B-spline Representations of PDE Surfaces that are Generated Using the Finite Element Method
  • W.L.F. Degen: Generalized Cyclides for Use in CAGD
  • L.-D. Cai: A consistent Zero-Thresholding Inequality for the Gaussian and Mean Curvatures
  • T.A. Foley and R. Ekpete: Optimized Parameterizations for Cubic and Bicubic Splines
  • H. Hagen: Twist Estimation for Smooth Surface Design
  • C. Cottin and R. van Damme: 3D Reconstruction of Closed Objects by Piecewise Cubic Triangular Bezier Patches
  • T. Hermann: Wireframe Conversion for Surface Modelling
  • C.M. Hoffmann: How to Construct the Skeleton of CSG Objects
  • E. McLellan, G.M. Young, R.J. Goult and M.J. Pratt: Interference Checking in the 5-axis Machining of Parametric Surfaces
  • F.D. Hales: Conical Sails.

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