Piecewise Quadratic Approximations on Triangles

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Piecewise Quadratic Approximations on Triangles

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 3 , Issue 4 (December 1977) table of contents

Pages: 316 - 325

Year of Publication: 1977

ISSN:0098-3500

Authors

M. J. D. Powell	Department of Applied Math and Theoretical Physics, University of Cambridge, Silver St., Cambridge CB3 9EW, England
M. A. Sabin	Kongsberg, U.K., Box 105, Maidenhead, Berkshire, England

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 14, Downloads (12 Months): 102, Citation Count: 32

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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	LAWSON, C.L. C~-compatible interpolation over a triangle. Tech. Memo. 33-770, Jet Propulsion Lab., Pasadena, Calif., 1976.
	2	MARLOW, S., AND POWELL, M.J.D. A Fortran subroutine for plotting the part of a conic that is inside a given triangle. Rep. R-8336, Atomic Energy Res. Establishment, Harwell, England, 1976.
	3	I~ILNE, W.P. Homogeneous Coordinates. Edward Arnold & Co., London, 1924.
	4	PS~C~LL, P. On cubic and quartic Clough-Tocher finite elements. SIAM J. Nuraer. Anal. lS (1976), 100-103.
	5	POWELL, M.J.D. Piecewise quadratic surface fitting for contour plotting. In Software for Numerical Mathematics. D.J. Evans, Ed., Academic Press, London, 1974.
	6	STRANG, G., AND FIX, G.J. An Analysis of the Finite Element Method. Prentice-Hall, Englewood Cliffs, N.J., 1973.

CITED BY 32

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	Larry L. Schumaker , Tatyana Sorokina , Andrew J. Worsey, A C1 quadratic trivariate macro-element space defined over arbitrary tetrahedral partitions, Journal of Approximation Theory, v.158 n.1, p.126-142, May, 2009
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	Jan Maes , Evelyne Vanraes , Paul Dierckx , Adhemar Bultheel, On the stability of normalized Powell-Sabin B-splines, Journal of Computational and Applied Mathematics, v.170 n.1, p.181-196, 1 September 2004
	Joris Windmolders , Evelyne Vanraes , Paul Dierckx , Adhemar Bultheel, Uniform Powell--Sabin spline wavelets, Journal of Computational and Applied Mathematics, v.154 n.1, p.125-142, 1 May 2003
	Joris Windmolders , Paul Dierckx, NURPS for special effects and quadrics, Mathematical Methods for Curves and Surfaces: Oslo 2000, Vanderbilt University, Nashville, TN, 2001
	D. Barrera , M. A. Fortes , P. González , M. Pasadas, Minimal energy surfaces on Powell--Sabin type triangulations, Applied Numerical Mathematics, v.58 n.5, p.635-645, May, 2008
	D. Barrera , M. A. Fortes , P. González , M. Pasadas, Minimal energy Cr-surfaces on uniform Powell-Sabin-type meshes for noisy data, Journal of Computational and Applied Mathematics, v.218 n.2, p.592-602, September, 2008
	Xuejun Xu, On V-cycle multigrid implementation for plate elements, Applied Mathematics and Computation, v.125 n.2-3, p.141-153, 25 January 2002
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	Bohumír Bastl , Bert Jüttler , Jiří Kosinka , Miroslav Lávička, Computing exact rational offsets of quadratic triangular Bézier surface patches, Computer-Aided Design, v.40 n.2, p.197-209, February, 2008
	G. Nürnberger , C. Rössl , H.-P. Seidel , F. Zeilfelder, Quasi-interpolation by quadratic piecewise polynomials in three variables, Computer Aided Geometric Design, v.22 n.3, p.221-249, March 2005
	Marcel Jackowski , Martin Satter , Ardeshir Goshtasby, Approximating Digital 3D Shapes by Rational Gaussian Surfaces, IEEE Transactions on Visualization and Computer Graphics, v.9 n.1, p.56-69, January 2003
	Carla Manni, Local tension methods for bivariate scattered data interpolation, Mathematical Methods for Curves and Surfaces: Oslo 2000, Vanderbilt University, Nashville, TN, 2001