An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline

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An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 7 , Issue 3 (September 1981) table of contents

Pages: 331 - 347

Year of Publication: 1981

ISSN:0098-3500

Authors

David F. McAllister	Department of Computer Science, North Carolina State University, Raleigh, NC
John A. Roulier	Department of Mathematics, University of Connecticut, Storrs, CT

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 6, Downloads (12 Months): 38, Citation Count: 11

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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	L. E. Deimel, Jr. , C. L. Doss, II , R. J. Fornaro , D. F. McAllister , J. A. Roulier, Application of shape-preserving spline interpolation to interactive editing of photogrammetric data, Proceedings of the 5th annual conference on Computer graphics and interactive techniques, p.93-99, August 23-25, 1978
	2	DEIMEL, L.E., MCALLISTER, D.F, AND ROULIER, J.A. Smooth curve fitting w~th shape preserration usmg osculatory quadratic sphnes. In Proc l lth Annu Conf, on the Interface Between Stattsttcs and Computer Sctence, 1978, pp 343-347.
	3	MCALLISTER, D F, ASD ROULIER, J A Interpolation by convex quadratm splines. Math. Cornput 32, 144, pp 1154-1162.
	4	D. F. McAllister , J. A. Roulier, Algorithm 574: Shape-Preserving Osculatory Quadratic Splines [E1, E2], ACM Transactions on Mathematical Software (TOMS), v.7 n.3, p.384-386, Sept. 1981 [doi>10.1145/355958.355967]
	5	McALLISTER, D.F., AND ROULIER, J.A Approxlmatmn by convex quadratic splines. Approximatton Theory III, Academic Press, New York, 1980, pp. 757-761.
	6	MCALLISTER, D.F., PASSOW, E, AND ROULIER, j.A Algorithms for computing shape preserving sphne interpolations to data Math. Comput. 31, 139 (July 1977), 717-725
	7	D. F. McAllister , J. A. Roulier , M. Evans, Generation of random numbers using shape preserving quadratic splines, Proceedings of the 16th annual Southeast regional conference, p.216-218, April 13-15, 1978, Atlanta, Georgia [doi>10.1145/503643.503691]

CITED BY 11

	A. Preusser, Algorithm 671: FARB-E-2D: fill area with bicubics on rectangles—a contour plot program, ACM Transactions on Mathematical Software (TOMS), v.15 n.1, p.79-89, March 1989
	D. F. McAllister , J. A. Roulier, Algorithm 574: Shape-Preserving Osculatory Quadratic Splines [E1, E2], ACM Transactions on Mathematical Software (TOMS), v.7 n.3, p.384-386, Sept. 1981
	Hiroshi Akima, A method of univariate interpolation that has the accuracy of a third-degree polynomial, ACM Transactions on Mathematical Software (TOMS), v.17 n.3, p.341-366, Sept. 1991
	Muhammad Sarfraz, Visualization of positive and convex data by a rational cubic spline interpolation, Information Sciences—Applications: An International Journal, v.146 n.1-4, p.239-254, October 2002
	Qi Duan , K. Djidjeli , W. G. Price , E. H. Twizell, Constrained control and approximation properties of a rational interpolating curve, Information Sciences: an International Journal, v.152 n.1, p.181-194, June 2003
	Catherine Cusimano , Sonya Stanley, Circular Bernstein--Bézier spline approximation with knot removal, Journal of Computational and Applied Mathematics, v.155 n.1, p.177-185, 01 June 2003
	P. Costantini, Boundary-valued shape-preserving interpolating splines, ACM Transactions on Mathematical Software (TOMS), v.23 n.2, p.229-251, June 1997
	Larry F. Hodges , William J. Stewart, Workload characterization and performance evaluation in a research environment, ACM SIGMETRICS Performance Evaluation Review, v.11 n.4, December 1982
	M. Sarfraz , Malik Zawwar Hussain, Data visualization using rational spline interpolation, Journal of Computational and Applied Mathematics, v.189 n.1, p.513-525, 1 May 2006
	Qi Duan , Huanling Zhang , Yunfeng Zhang , E. H. Twizell, Error estimation of a kind of rational spline, Journal of Computational and Applied Mathematics, v.200 n.1, p.1-11, March, 2007
	Malle Fischer , Peeter Oja , Helle Trossmann, Comonotone shape-preserving spline histopolation, Journal of Computational and Applied Mathematics, v.200 n.1, p.127-139, March, 2007