Fundamental Developments in Computer Aided Geometric Modelling

Fundamental Developments in Computer Aided Geometric Modelling

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Illustrated with colour plates, this book covers all the important aspects of geometric modelling, including curve and surface techniques, solid modelling, and geometric tools used in the CAD as well as the CAM process. The historical overview is combined with an analysis of recent developments and an up-to-date assessment of the area. The methods presented in this volume have acquired widespread applications in industry, and have initiated substantial research activities in many fields including mathematics, computer science, engineering, art, business, and geography. This book is relevant to every computer professional who is interested in the scientific basics as well as the historical/evolutionary aspects of computer geometry. The book reviews recent developments in computer-aided geometric design and presents a state-of-the-art assessment of the area, and includes chapters from top researchers in the field of CAGD on key aspects of the field.
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Product details

  • Hardback | 450 pages
  • 190 x 260 x 28mm | 1,035g
  • Academic Press Inc
  • San Diego, United States
  • English
  • bibliography, indices
  • 012554765X
  • 9780125547659

Table of contents

Polar forms for curve and surface modelling as used at Citroen, P. de Casteljau; the first years of CAD-CAM and the UNISCRF CAD system, P.E. Beier; B(asics)-Spline basics, C. de Boor; algorithms for spline curves and surfaces, M.G. Cox; modelling with NURBS curves and surfaces, R.F. Riesenfeld; f methods for free-form curve and hypersurface definition, J.C. Ferguson; sculptured surface definition via blending-function methods, W.J. Gordon; coons patches and convex combinations, R.E. Branhill; boundary modelling, J.C. Braid; conceptual modelling in design, C.M. Eastman; research in solid modelling at the University of Rochester - 1972-1987, H.B. Voelcker and A.A.G. Requicha; numerical master geometry, n-sided patches and surface interrogations, M.A. Sabin; geometric methods for computer-aided design, M.J. Pratt; computer systems for interactive design - the description of MULTIPATCH, MULTIOBJECT and other existing systems, A.P. Armit; interactive graphics and numerical control for computer-aided design, D.F Rogers; computer-aided design - 1965 through 1965 - in the design and graphics division of MIT's mechanical engineering department, R.W. Mann; a philosophy of computer-aided design, D.T. Ross.
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