Tatyana Sorokina
Course Pages
Conferences
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Twelfth International Conference on Approximation Theory.
San Antonio, March 4--8, 2007.
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Curves and Surfaces , Avignon, June 29 -- July 5, 2006.
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Eleventh International Conference on Approximation Theory.
Gatlinburg, TN, May 18--22, 2004.
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Wavelets and Splines, Athens, GA, May 16--19, 2005.
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SIAM Geometric Design, Phoenix, Oct. 30 -- Nov. 3, 2005.
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Multivariate Approximation , Cancun, April 26 -- May 1, 2007.
Vita
Research Interests
- Approximation Theory (Splines)
- CAGD
- Numerical Analysis
Publications
- Approximation order of bivariate kernel-splines,
A. Amanov Memorial Conference Proceedings, Kazakh State University Press (1993), 139--141
- C^1 quintic splines on type-4 tetrahedral
partitions,
(with Larry L. Schumaker), Adv. in Comp. Math. 21 (2004), 421--444.
- A C^1 cross polytope macro-element in four variables, in Approximation Theory XI:
Gatlinburg 2004, Charles K. Chui, Marian Neamtu and Larry L. Schumaker (eds.), Nashboro Press,
Brentwood, TN, 2004, 405--422
- Optimal quasi-interpolation by quadratic C^1 splines on type-2
triangulations,
with F. Zeilfelder,
in Approximation Theory XI:
Gatlinburg 2004, Charles K. Chui, Marian Neamtu and Larry L. Schumaker (eds.),
Nashboro Press, Brentwood, TN, 2004, 423--438
- A trivariate box macro-element,
(with Larry L. Schumaker), Constructive Approximation,
Volume 21, Number 3, 2005, 413--431
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A family of C^r macro-elements on Powell-Sabin-12 splits,
(with Larry L. Schumaker), Math. Comp., Volume 75,
2006, 711--726
- An octahedral C^2 macro-element, with M.-J. Lai and A. Le Mehaute,
GAGD, Volume 23, 2006, 640--654
- Local quasi-interpolation by trivariate cubic C^1 splines
on type-6 tetrahedral partitions, with F. Zeilfelder,
IMA J. Numer. Anal., Volume 27, 2007, 74--101
- A multivariate Powell-Sabin interpolant, with A.J. Worsey, Advances in Comp. Math.,
to appear
- An explicit quasi-interpolation scheme based on C^1 quartic splines
on type-1 triangulations, with F. Zeilfelder, CAGD, to appear
- On the n-dimensional Clough-Tocher interpolant, open for preview
Spline Resources
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Access to the deBoor/Schumaker bibliography of splines.
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Access to Peter Alfeld's bivariate applet.
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Access to Peter Alfeld's trivariate applet.