Plotting contour surfaces of a function of three variables

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Plotting contour surfaces of a function of three variables

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 14 , Issue 1 (March 1988) table of contents

Pages: 33 - 41

Year of Publication: 1988

ISSN:0098-3500

Author

Granville Sewell

Univ. of Texas at El Paso, El Paso

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 20, Downloads (12 Months): 90, Citation Count: 4

Additional Information:

abstract references cited by index terms review

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ABSTRACT

A technique is presented for the graphical representation of some contour (level) surfaces of a function of three variables defined by its values on an array of points (xi, yj, zk). The algorithm involves drawing and projecting the contour curves corresponding to the cross sections x = xI and y = yj. Because the curves are drawn as thick, opaque bands, which mask all bands in the immediate background, a sense of depth is retained, yet background contours are still visible between the bands.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	William V. Snyder, Algorithm 531: Contour Plotting [J6], ACM Transactions on Mathematical Software (TOMS), v.4 n.3, p.290-294, Sept. 1978 [doi>10.1145/355791.355800]
	2	Steven L. Watkins, Algorithm 483: Masked three-dimensional plot program with rotations, Communications of the ACM, v.17 n.9, p.520-523, Sept. 1974 [doi>10.1145/361147.361112]

CITED BY 4

	Granville Sewell, Algorithm 657: software for plotting contour surfaces of a function of three var, ACM Transactions on Mathematical Software (TOMS), v.14 n.1, p.42-44, March 1988
	Dieter Lasser, Visualization of free form volumes, Proceedings of the 1st conference on Visualization '90, October 23-26, 1990, San Francisco, California
	Robert R. Dickinson , Richard H. Bartels , Allan H. Vermeulen, The Interactive Editing and Contouring of Empirical Fields, IEEE Computer Graphics and Applications, v.9 n.3, p.34-43, May 1989
	Chandan Singh , Jaswinder Singh, Accurate contour plotting using 6-node triangular elements in 2D, Finite Elements in Analysis and Design, v.45 n.2, p.81-93, January, 2009

INDEX TERMS

Primary Classification:
G. Mathematics of Computing
G.1 NUMERICAL ANALYSIS
G.1.0 General
Subjects: Numerical algorithms

Additional Classification:
F. Theory of Computation
F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY

G. Mathematics of Computing

General Terms:
Algorithms, Design

REVIEW

"Ian Gladwell : Reviewer"

This paper and the algorithm published with it [1] describe a technique for plotting contour (level) surfaces of a function of three variables and briefly discuss FORTRAN 77 code implementing the plotting procedure. The author assumes that the f more...

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