Algorithm 677 C1 surface interpolation

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Algorithm 677 C¹ surface interpolation

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 15 , Issue 4 (December 1989) table of contents

Pages: 365 - 374

Year of Publication: 1989

ISSN:0098-3500

Authors

Laura Bacchelli Montefusco	Univ. Degli Studi di Bologna, Bologna, Italy
Giulio Casciola	Univ. Degli Studi di Bologna, Bologna, Italy

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 6, Downloads (12 Months): 80, Citation Count: 1

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appendices and supplements references cited by index terms collaborative colleagues

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APPENDICES and SUPPLEMENTS

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C1 triangular elements, with needed partial derivatives are estimated using a minimization criterion making use of a tension parameter: interpolation of rapidly varying function values given at points irregularly distributed in the plane
Gams: E2b

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	Hiroshi Akima, A Method of Bivariate Interpolation and Smooth Surface Fitting for Irregularly Distributed Data Points, ACM Transactions on Mathematical Software (TOMS), v.4 n.2, p.148-159, June 1978 [doi>10.1145/355780.355786]
	2	Hiroshi Akima, Algorithm 526: Bivariate Interpolation and Smooth Surface Fitting for Irregularly Distributed Data Points [E1], ACM Transactions on Mathematical Software (TOMS), v.4 n.2, p.160-164, June 1978 [doi>10.1145/355780.355787]
	3	BACCHELLI MONTEFUSCO, L., AND CASCIOLA, G. Interpolazione di funzioni bidimensionali di classe C'. Monografie di Software Matematico IAC-CNR, Rome, 1984.
	4	BARNHILL, R. E. Representation and approximation of surfaces. In Mathematical Software ZZZ, J. R. Rice, Ed. Academic Press, Orlando, Fla., 1977, pp. 69-120.
	5	BARNHILL, R. E., AND GREGORY, J. A. Compatible smooth interpolation in triangles. J. Approx. Thor. 15 (1975), 214-225.
	6	FRANKE, R. Scattered data interpolation: Tests of some methods. Math. Comput. 38 (1982), 181-200.
	7	GREGORY, J. A. Smooth interpolation without twist constraints. In Computer Aided Geometric Design, R. E. Barnhill and R. F. Riesenfeld, Eds. Academic Press, Orlando, Fla., 1974, pp. 71-87.
	8	KLUCEWICZ, I. M. A piecewise C' interpolant to arbitrarily spaced data. Comput. Graph. Image Process. 8 (1978), 92-112.
	9	LAWSON, C. L. Software for C' surface interpolation. In MutZzemotical Software ZZZ, J. R. Rice, Ed Academic Press, Orlando, Fla., 1977, pp. 161-194.
	10	NIELSON, G. M. Minimum norm interpolation in triangles. SIAM J. Numer. Anal. 17,l (1980), 44-62.
	11	NIELSON, G. M., AND FRANKE, R. Surface construction based upon triangulations. In Surfaces in Computer Aided Geometric Design, R. E. Barnhill and W. Boehm, Eds. North-Holland, Amsterdam, 1983, pp. 163-177.
	12	NIELSON, G. M., AND FRANKE, R. A method for construction of surfaces under tension. Rocky Mountain J. Math. 14, 1 (1984), 203-221.
	13	Robert J. Renka, Algorithm 624: Triangulation and Interpolation at Arbitrarily Distributed Points in the Plane, ACM Transactions on Mathematical Software (TOMS), v.10 n.4, p.440-442, Dec. 1984 [doi>10.1145/2701.356108]
	14	RENKA, R. J., AND CLINE, A. K. A triangle-based C' interpolation method. Rocky Mountain J. Math. 14, 1 (1984), 223-237.
	15	SCHUMAKER, L. L. Fitting surface to scattered data. In Approximation Theory ZZ, G. G. Lorentz, C. k. Chui, and L. L. Schumaker, Eds. Academic Press, Orlando, Fla., 1976, pp. 203-268.