The mathematics of surfaces II : based on the proceedings of a second conference organized by the Institute of Mathematics and Its Applications on the mathematics of surfaces, held at University College, Cardiff in September 1986
著者
書誌事項
The mathematics of surfaces II : based on the proceedings of a second conference organized by the Institute of Mathematics and Its Applications on the mathematics of surfaces, held at University College, Cardiff in September 1986
（The Institute of Mathematics and its Applications conference series, new ser. 11）
Clarendon Press, 1987
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注記
Includes bibliographies
内容説明・目次
内容説明
This book contains the proceedings of the second IMA conference on this topic which was held in Cardiff, September 1986. It follows on from the very successful meeting which gave rise to number 6 in this series - J.H. Gregory (editor): The Mathematics of Surfaces. The wide range of papers cover both the design of new surfaces, and the fitting of surfaces to existing data, primarily in an applied context including such areas as computer aided geometric design. Some of the contributions are quite theoretical - for example a discussion of how an approximation to surface can be achieved. Others are practical and show how such techniques can be applied in such diverse areas as dentistry and ship design. There are tutorial papers on some broad topics such as the presentation of relevant ideas in differential geometry to a wider audience. Others are state of the art surveys and others present recent research. Many of the contributors are experts in the field, not only from the U.K. and other European countries but also from established teams in the United States.
Readership: researchers in applied mathematics, computer science, and engineering, in academic institutions and industrial laboratories.
目次
- I.R. Porteous: The intelligence of curves
- J.G. Hayes: Fitting surfaces to data
- A.A. Ball: The parametric representation of curves and surfaces using rational polynomial functions
- R.J.Y. McLeod: An alternative approach to surface patches
- J.M. Hands: Reparametrisation of rational surfaces
- M. Gasca & J.J. Martinez: On the computation of multivariate confluent Vandermonde determinants and its applications
- I.R.H. Jackson: Approximation to continuous functions using radial basis functions
- R. DeLong & M.C. Bramwell: Matching an initial surface to a worn surface subject to rotation and translation
- S. Heatherington: Surfaces in civil engineering
- D. Catley, C. Whittle & P. Thornton: Applications of the general surface definition and manipulation system, GENSURF
- T. Varady: Survey and new results in n-sided patch generation
- G. Renner: Inter-patch continuity of surfaces
- J.R. Woodwark: Blends in geometric modelling
- T.W. Sederberg & J.P. Snively: Parametrization of cubic algebraic surfaces
- A. Saia, M.S. Bloor & A. De Pennington: Sculptured solids in a CSG based geometric modelling system
- T.N.T. Goodman & S.L. Lee: Geometrically continuous surfaces defined parametrically from piecewise polynomials
- R.T. Farouki: Graphical methods for surface differential geomtry
- G.L. Tindle: Tetrahedral triangulation
- T.J. Sharrock: Biarcs in three dimensions
- M. Sabin: Envelope curves and surfaces
- B.E.J. Dahlberg & B. Johansson: Shape preserving approximations
- R. Andersson, E. Andersson, M. Boman, B. Dahlberg, T. Elmroth & B. Johansson: The automatic generation of convex surfaces
- I.R. Porteous: Ridges and umbilics of surfaces
- F. Munchmeyer: On surface imperfections
- M.A. Lachance: Data proliferation in the exchange of surfaces
- A.A. Ball: Curve and surface modelling with ugly mathematics.
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