The definition, editing, and contouring of surfaces for the analysis of field problems
Pages 109 - 114
Abstract
This paper reports on an interactive system for manipulating a tensor-product B-spline approximation to field data for applications in which contours are of interest. The features of the system are: an interpolation technique for approximating fields defined from scattered or gridded data by tensor-product B-splines, an interactive display providing control-vertex manipulation of the resulting B-spline approximation, and a contouring algorithm that is designed specifically for B-spline surfaces.
References
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R.H. Bartels, J. C. Beatty, and B. A. Barsky, An Introduction to the Use of Splines in Computer Graphics, Morgan Kaufmann Publishers, Los Altos, California (1987).
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W. Boehm, G. Farin, and J. Kahmann, A Survey of Curve and Surface Methods in CAGD, Computer Aided Geometric Design 1(1) pp. 1-60 (lg84).
[3]
G C. de Boor, A Practical Guide to Splines, Springer-Verlag (1978).
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E. Cohen, T. Lyche, and R. Riesenfeld, Discrete B-splines and Subdivision Techniques in Computer-Aided Geometric Design and Computer Graphics, Computer Graphics and Image Processing 14(2) pp. 87-111 (1980).
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A. I. Kulikov and G. S. Rivin, Mapping Fields of the Meteorological Elements Given at the Nodes of a Latitude Longitude Grid, Meteorol. and Gidrol. (Meteorology and Hydology) (U.S.S.R.) 1 pp. 41-48 (1982).
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C. L. Lawson and R. J. Hanson, Solving Least Squares Problems, Prentice Hall (1974).
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J. F. Lyness and L. Asquith, A Simple Contour Plotting Program for Finite Element Output, Advanced Eng. Software,5(1) pp. 23-31 (1983).
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D. J. McConalogue, A quasi-intrinsic scheme for passing a smooth curve through a discrete set of points, Computer Journal 13(4) pp. 392-396 (1970).
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I. G. Moore, Automatic Contouring of Geological Data, 15th APCOM Symposium, pp. 209-219 (1977).
[10]
C.S. Petersen, Adaptive contouring of threedimensional surfaces, Computer Aided Geometric Design 1 pp. 61-74 (1984).
[11]
A. Preusser, Computing Contours by Successive Solution of Quintic Polynomial Equations, ACM Trans. on Math. Software 10(4) pp. 463-472 (1984).
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A. Preusser, Algorithm 626 -- TRICP: A contour plot program for triangular meshes, ACM Trans. on Math. Software 10(4) pp. 473-475 (1984).
[13]
B. D. Ripley, Spatial Statistics, John Wiley & Sons (1981).
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P. SablonniSre, Bernstein-Bgzier Methods for the Construction of Bivariate Spline Approximants, Computer Aided Geometric Design - Surfaces in CAGD '84, pp. 29-36 North-Holland, Amsterdam, (1985).
Index Terms
- The definition, editing, and contouring of surfaces for the analysis of field problems
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The definition, editing, and contouring of surfaces for the analysis of field problems
This paper reports on an interactive system for manipulating a tensor-product B-spline approximation to field data for applications in which contours are of interest. The features of the system are: an interpolation technique for approximating fields ...
The definition, editing, and contouring of surfaces for the analysis of field problems
This paper reports on an interactive system for manipulating a tensor-product B-spline approximation to field data for applications in which contours are of interest. The features of the system are: an interpolation technique for approximating fields ...
The Interactive Editing and Contouring of Empirical Fields
A system for the interactive editing and contouring of surfaces derived from empirical fields is described. The approach taken begins with the representation of a field as a general-order, nonuniform, tensor-product, B-spline surface. It provides an ...
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Published: 01 May 1986
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