The mathematics of surfaces VI : based on the proceedings of a conference organized by The Institute of Mathematics and its Applications on the mathematics of surfaces held at Brunel University in September 1994

書誌事項

The mathematics of surfaces VI : based on the proceedings of a conference organized by The Institute of Mathematics and its Applications on the mathematics of surfaces held at Brunel University in September 1994

edited by Glen Mullineux

(The Institute of Mathematics and its Applications conference series, no.58)

Clarendon, 1996

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注記

Conference proceedings

Includes bibliographical references

内容説明・目次

内容説明

This book is based on the sixth international conference on the subject organised by the IMA. A number of international authorities were invited to present papers on surface mathematics, covering computer-based methods for the construction, representation, and manipulation of complicated surfaces. the conference. This book is intended for mathematicians, computer scientists, CAD practitioners, engineers, and others who are developing or using computer-aided descriptions of surfaces.

目次

  • Publications of Dr John Gregory
  • John Gregory's research - from computational error bounds through Gregory's square to convex combinations, R.E. Barnhill
  • the work of John Gregory - rational spline interpolation, subdivision algorithms and C2 polygonal patches, N. Dyn
  • dupin cyclides and supercyclides, M.J. Pratt
  • a practical implementation of vertex blend surfaces using an N-sided patch, D. Plowman and P. Charrot
  • the sub-parabolic lines of a surface, R. Morris
  • geodesic paths for general surfaces generated by solid modellers, D.J. Robinson and C.G. Armstrong
  • free-form surface matching for surface inspection, E.M. Bispo and R.B. Fisher
  • surface fitting by exploiting data distribution, I.J. Anderson and J.C. Mason
  • the types of triangular B'ezier surfaces, W.L.F. Degen
  • polyhedral metrics in surface reconstruction, L. Alboul and R. van Damme
  • linear approximation of trimmed surfaces, R. Klein
  • cubic algebraic surface interpolation of three points with prescribed normals, A.E. Middleditch and E.E. Demas
  • robust implementation of geometric algorithms using exact arithmetic, S. Fortune and C.J. Van Wyk
  • validity determination for MAT surface representation, C.M. Hoffmann and P.J. Vermeer
  • physics-based NURBS swung surfaces, H. Qin and D. Terzopoulos
  • numerical aspects of stability investigations on surfaces, St Hahmann and H. Hagen
  • pre-wavelets on scattered knots and from radial function spaces - a review
  • towards a classification of curve and surface algorithms using invariance
  • loop detection via homotopy continuation
  • polynomial and rational pythagorean-hodograph curves reconciled
  • a geometric newton method for interference processing of rational curves and surfaces in homogeneous space, K. Matsumura, et al
  • an arbitrary rectangular patch network scheme for free-form surface modelling, J. Zhou and V.K.H. Lau
  • best fit surface curvature at vertices of topologically irregular curve networks, T. V'arady and T. Hermann
  • G1-interpolation of rectangular unrestricted cubic curve meshes using biquintic B'ezier patches, X. Ye and H. Nowacki
  • hybrid B-spline interpolants, M. Walker
  • C2 surfaces built from zero sets of the 7-direction box spline, J. Peters
  • matching NURBS surfaces G1 and G2, L.J. Nachman
  • transfinite surface interpolation, M. Sabin
  • simplex splines, polar simplex splines and triangular B-splines, H.P. Seidel
  • numerical computations of medial surface verticles, D.J. Sheehy.

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