See this document in CiteSeerX!

Developments in Bivariate Spline Interpolation (2000)  (Make Corrections)  (1 citation)
G. Nürnberger, F. Zeilfelder



  Home/Search   Context   Related

 
View or download:
archimed.math.uni...nz_developments.ps
Cached:  PDF   PS.gz  PS  Image  Update  Help

From:  archimed.math.uni...nuernartikel (more)
(Enter author homepages)

Rate this article: (best)
  Comment on this article  
(Enter summary)

Abstract: The aim of this survey is to describe developments in the eld of interpolation by bivariate splines. We summarize results on the dimension and the approximation order of bivariate spline spaces, and describe interpolation methods for these spaces. Moreover, numerical examples are given. Keywords : Bivariate Splines, Interpolation, Dimension, Approximation order, Finite Elements, Macro Elements, Bezier-Bernstein techniques, Triangulation AMS Classi cation: 41A05, 41A15, 41A25, 65D05, 65D07,... (Update)

Cited by:   More
Local Lagrange Interpolation by Bivariate Cı Cubic Splines - Nürnberger, Schumaker..   (Correct)

Active bibliography (related documents):   More   All
5.5:   Interpolation by Spline Spaces on Classes of Triangulations - Nürnberger, Zeilfelder (2000)   (Correct)
4.9:   Lagrange Interpolation by Splines on Triangulations - Nürnberger, Zeilfelder (1998)   (Correct)
1.7:   Interpolation by Cı Splines of Degree q>=4 on Triangulations - Davydov, Nürnberger   (Correct)

Similar documents based on text:   More   All
0.8:   On The Approximation Power Of Splines On Triangulated.. - Lai, Schumaker (1999)   (Correct)
0.8:   Lagrange Interpolation by C¹ Cubic Splines on.. - Nürnberger..   (Correct)
0.6:   On the Approximation Power of Bivariate Splines - Ming-Jun Lai And (1996)   (Correct)

BibTeX entry:   (Update)

Nurnberger, G. and F. Zeilfelder, Developments in bivariate spline interpolation, J. Comput. Appl. Math. 121 (2000), 125--152. http://citeseer.ist.psu.edu/nurnberger00developments.html   More

@misc{ nurnberger00developments,
  author = "G. Nurnberger and F. Zeilfelder",
  title = "Developments in bivariate spline interpolation",
  text = "Nurnberger, G. and F. Zeilfelder, Developments in bivariate spline interpolation,
    J. Comput. Appl. Math. 121 (2000), 125--152.",
  year = "2000",
  url = "citeseer.ist.psu.edu/nurnberger00developments.html" }
Citations (may not include all citations):
160   A practical Guide to Splines (context) - de Boor - 1978
153   Graph Coloring Problems (context) - Jensen, Toft - 1995
44   Multivariate splines (context) - Chui - 1988
34   A survey of curve and surface methods in CAGD (context) - Boehm, Farin et al. - 1984
29   Curve and Surface Fitting - an Introduction (context) - Lancaster, Salkauskas
28   Recent progress in multivariate splines (context) - Dahmen, Michelli - 1983
26   Stability of optimal-order approximation by bivariate spline.. - Chui, Hong et al. - 1995
24   form basics (context) - de Boor - 1987
23   The dimension of bivariate spline spaces of smoothness r for.. (context) - Alfeld, Schumaker - 1987
20   quartic bivariate splines (context) - Alfeld, Piper et al. - 1987
19   On bivariate super vertex splines (context) - Chui, Lai - 1990
17   On stable local bases for bivariate polynomial splines - Davydov, Schumaker
15   Approximation order from certain spaces of smooth bivariate .. (context) - Jia - 1986
15   Convexity of multivariate Bernstein polynomials and box spli.. (context) - Dahmen, Micchelli - 1988
14   A trivariate Clough-Tocher scheme for tetrahedral data (context) - Alfeld - 1984
13   Spaces of bivariate spline functions over triangulation - Hong - 1991
13   Box splines (context) - de Boor, ollig et al. - 1993
12   Approximation order of bivariate spline interpolation for ar.. - Davydov, urnberger et al. - 1998
11   Homology of smooth splines: generic triangulations and a con.. (context) - Billera - 1988
11   the dimension of bivariate spline spaces of smoothness r and.. (context) - Alfeld, Schumaker - 1990
10   On almost interpolation and locally linearly independent bas.. - Davydov, Sommer et al. - 1999
10   Locally linearly independent systems and almost interpolatio.. - Davydov, Sommer et al. - 1997
10   Locally linearly independent basis for C 1 bivariate splines.. (context) - Davydov - 1998
9   Interpolation scheme by C 1 cubic splines on a non uniform t.. (context) - Jeeawock-Zedek - 1992
9   Minimally supported bases for spaces of bivariate piecewise .. (context) - Alfeld, Piper et al. - 1987
9   Polynomial interpolation in several variables - Gasca, Sauer
9   An iterative method for computing multivariate C 1 piecewise.. (context) - Grandine - 1987
9   On location of sample points in C 1 quadratic bivariate spli.. (context) - Chui, He - 1987
8   A sharp upper bound on the approximation order of smooth biv.. - de Boor, Jia - 1993
8   Bivariate spline interpolation with optimal approximation or.. - Davydov, urnberger et al.
8   On almost interpolation by multivariate splines - Davydov, Sommer et al. - 1997
7   Swapping edges of arbitrary triangulations to achieve the op.. - Chui, Hong - 1997
7   Approximation order from bivariate C 1 cubics: a counterexam.. (context) - de Boor, ollig - 1983
7   Geometric Modeling (context) - Farin - 1987
7   Approximation power of smooth bivariate pp functions (context) - de Boor, ollig - 1988
7   Bending and stretching of plates (context) - de Veubeke - 1965
7   Bivariate Spline-Interpolation auf Crosscut-Partitionen (context) - Adam - 1995
6   quartic spline element for optimalorder approximation (context) - Chui, Hong et al. - 1996
6   Clough Tocher scheme (context) - Alfeld, bivariate - 1984
6   Monotonicity preserving surface interpolation (context) - Beatson, Ziegler - 1985
6   On almost interpolation - Davydov - 1997
6   On dimension and existence of local bases for multivariate s.. (context) - Alfeld, Schumaker et al. - 1992
6   The dimension and existence of local bases for multivariate .. (context) - Alfeld, Schumaker - 1992
6   The TUBA family of plate elements for the matrix displacemen.. (context) - Argyis, Fried et al. - 1968
6   General Lagrange and Hermite interpolation in IR n with appl.. (context) - Ciarlet, Raviart - 1972
6   Smooth interpolation to scattered data by bivariate piecewis.. (context) - Meyling, uger - 1990
5   Hermite and Lagrange interpolation by quadratic splines on n.. (context) - Jeeawock-Zedek, Sablonni - 1994
5   quintic interpolation over triangles: two explicit represent.. (context) - Barnhill, Farin - 1981
5   The Finite Element Method for Elliptic Problems North Hollan.. (context) - Ciarlet - 1977
4   Locally linearly independent bases for bivariate polynomial .. - Davydov, Schumaker
4   Interpolation by splines on triangulations - Davydov, urnberger et al. - 1999
4   Approximation by smooth bivariate splines on a three-directi.. (context) - Jia - 1983
4   Interpolation by cubic splines on triangulations - Davydov, urnberger et al. - 1998
4   Triangular Bernstein-Bezier patches (context) - Farin - 1986
4   Multivariate spline spaces (context) - Chui, Wang - 1983
3   quartic bivariate splines (context) - Gao, by - 1991
3   Super spline spaces of smoothness r and degree d  3r (context) - Ibrahim, Schumaker - 1991
3   On smooth multivariate spline functions (context) - Chui, Wang - 1983
3   Non-existence of star-supported spline bases - Alfeld, Schumaker
3   Local approximation order of box splines (context) - Jia - 1988
2   nite element and interpolation (context) - Gao - 1993
2   Construction of stable local spline bases over arbitrary tri.. (context) - Hong - 1993
2   A modied Clough-Tocher interpolant (context) - Farin - 1985
2   Interpolation by bivariate linear splines (context) - Chui, He et al. - 1986
2   Spaces of bivariate cubic and quartic splines on type-1 tria.. (context) - Chui, Wang - 1984
2   Finite element sti ness matries for analysis of plates in be.. (context) - Clough, Tocher - 1965
2   Convexity and Bernstein polynomials on k-simploids (context) - Dahmen, Micchelli - 1990
2   On multivariate vertex splines and applications (context) - Chui, Lai - 1987
2   Scattered data interpolation by bivariate C 1 -piecewise qua.. (context) - Dahmen, Meyling et al. - 1990
2   Interpolation by C 1 splines of degree q  4 on triangulatio.. (context) - Davydov, urnberger
1   Spline Functions and Multivariate Approximation (context) - Bojanov, Hakopian et al. - 1993
1   A local shape-preserving interpolation scheme for scattered .. (context) - Costantini, Manni - 1999
1   Interpolation and approximation by piecewise quadratic C 1 f.. (context) - Heindl - 1979
1   ement de Frajis de Veubecke et Sander (context) - Ciavaldini, ed et al. - 1974
1   Interpolation error estimates for the reduced Hsieg-Clough-T.. (context) - Ciarlet - 1978
1   ement de Clough et Tocher (context) - Ciarlet, l' - 1974
1   A Marsden type identity for periodic trigonometric splines (context) - Carncier, na - 1993
1   Interpolation in bivariate spline spaces (context) - Bamberger - 1985
1   Optimal interpolating spaces preserving shape - Chalmers, Leviatan et al. - 1999
1   Cubic Splines Interpolation (context) - Davydov, urnberger et al.
1   the dimension of the spline space S (context) - Meyling, uger - 1985
1   Approximation by piecewise cubic C 1 -splines on arbitrary t.. (context) - Meyling - 1987
1   A rened triangular plate bending element (context) - Bell - 1969
1   Upper and lower bounds on the dimension of multivariate spli.. (context) - Alfeld - 1996
1   Interpolation by bivariate linear splines (context) - Davydov, Sommer et al.
1   Instability in the dimension of spaces of bivariate piecewis.. (context) - Diener - 1990
1   Algorithms for surface tting using Powell-Sabin splines (context) - Diereckx, van Leemput et al. - 1992
1   A case study of multivariate piecewise polynomials (context) - Alfeld - 1987
1   The dimension and bases of divergence-free splines; a homolo.. (context) - Billera, Haas - 1991
1   the dimension of piecewise polynomial functions (context) - Alfeld - 1986
1   Operator norm and error bounds for interpolating quadratic s.. (context) - Jeeawock-Zedek - 1994
1   Optimal triangulations and smoothness conditions for bivaria.. (context) - Hong, Liu et al. - 1998
1   Lower bounds on the dimension of spaces of bivariate splines (context) - Jia - 1990
1   Lecture notes on multivariate splines (context) - Jia - 1990
1   ezier representation of polynomial surfaces (context) - Dahmen - 1986

Documents on the same site (http://archimed.math.uni-mannheim.de/~math4/text/nuernartikel.html):   More
Interpolation by Spline Spaces on Classes of Triangulations - Nürnberger, Zeilfelder (2000)   (Correct)
Explicit Estimates for Bivariate Hierarchical Bases - Nürnberger, Steidl, Zeilfelder (1999)   (Correct)
Cubic Spline Interpolation on Nested Polygon Triangulations - Davydov, Nürnberger.. (2000)   (Correct)

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC