-
4
-
-
0000522347
-
The dimension of bivariate spline spaces of smoothness r for degree d≥ 4r+1
-
Alfeld P., Schumaker L.L. The dimension of bivariate spline spaces of smoothness. r for degree d≥ 4r+1 Constr. Approx. 3:1987;189-197.
-
(1987)
Constr. Approx.
, vol.3
, pp. 189-197
-
-
Alfeld, P.1
Schumaker, L.L.2
-
6
-
-
0002653115
-
B-form basics
-
in: G. Farin (Ed.), SIAM, Philadelphia
-
C. de Boor, B-form basics, in: G. Farin (Ed.), Geometric Modeling, SIAM, Philadelphia, 1987, pp. 131-148.
-
(1987)
Geometric Modeling
, pp. 131-148
-
-
De Boor, C.1
-
7
-
-
0000141069
-
Approximation power of smooth bivariate pp functions
-
de Boor C., Höllig K. Approximation power of smooth bivariate pp functions. Math. Z. 197:1988;343-363.
-
(1988)
Math. Z.
, vol.197
, pp. 343-363
-
-
De Boor, C.1
Höllig, K.2
-
8
-
-
0011613235
-
A sharp upper bound on the approximation order of smooth bivariate pp functions
-
de Boor C., Jia Q. A sharp upper bound on the approximation order of smooth bivariate pp functions. J. Approx. Theory. 72:1993;24-33.
-
(1993)
J. Approx. Theory
, vol.72
, pp. 24-33
-
-
De Boor, C.1
Jia, Q.2
-
9
-
-
0004053819
-
-
CBMS, SIAM, Philadelphia
-
C.K. Chui, Multivariate Splines, CBMS, Vol. 54, SIAM, Philadelphia, 1988.
-
(1988)
Multivariate Splines
, vol.54
-
-
Chui, C.K.1
-
10
-
-
0003159208
-
1 quadratic bivariate spline interpolation
-
L. Collatz, G. Meinardus, Nürnberger G. Basel: Birkhäuser
-
1 quadratic bivariate spline interpolation Collatz L., Meinardus G., Nürnberger G. Numerical Methods of Approximation Theory, International Series of Numerical Mathematics. Vol. 81:1987;30-43 Birkhäuser, Basel.
-
(1987)
Numerical Methods of Approximation Theory, International Series of Numerical Mathematics
, vol.81
, pp. 30-43
-
-
Chui, C.K.1
He, T.X.2
-
11
-
-
0007324146
-
Swapping edges of arbitrary triangulations to achieve the optimal order of approximation
-
Chui C.K., Hong D. Swapping edges of arbitrary triangulations to achieve the optimal order of approximation. SIAM J. Numer. Anal. 34:1997;1472-1482.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 1472-1482
-
-
Chui, C.K.1
Hong, D.2
-
12
-
-
0030371938
-
1 quartic spline element for optimal-order approximation
-
1 quartic spline element for optimal-order approximation Math. Comp. 65:1996;85-98.
-
(1996)
Math. Comp.
, vol.65
, pp. 85-98
-
-
Chui, C.K.1
Hong, D.2
-
13
-
-
0001663185
-
Stability of optimal-order approximation by bivariate splines over arbitrary triangulations
-
Chui C.K., Hong D., Jia Q. Stability of optimal-order approximation by bivariate splines over arbitrary triangulations. Trans. Amer. Math. Soc. 347:1995;3301-3318.
-
(1995)
Trans. Amer. Math. Soc.
, vol.347
, pp. 3301-3318
-
-
Chui, C.K.1
Hong, D.2
Jia, Q.3
-
14
-
-
0007157878
-
On bivariate super vertex splines
-
Chui C.K., Lai M.-J. On bivariate super vertex splines. Constr. Approx. 6:1990;399-419.
-
(1990)
Constr. Approx.
, vol.6
, pp. 399-419
-
-
Chui, C.K.1
Lai, M.-J.2
-
16
-
-
0007230719
-
1 bivariate splines of degree q ≥ 5
-
M. Daehlen, T. Lyche, & L.L. Schumaker. Nashville: Vanderbilt University Press
-
1 bivariate splines of degree q ≥ 5 Daehlen M., Lyche T., Schumaker L.L. Mathematical Methods for Curves and Surfaces II. 1998;71-77 Vanderbilt University Press, Nashville.
-
(1998)
Mathematical Methods for Curves and Surfaces II
, pp. 71-77
-
-
Davydov, O.1
-
18
-
-
0032047731
-
Approximation order of bivariate spline interpolation for arbitrary smoothness
-
Davydov O., Nürnberger G., Zeilfelder F. Approximation order of bivariate spline interpolation for arbitrary smoothness. J. Comput. Appl. Math. 90:1998;117-134.
-
(1998)
J. Comput. Appl. Math.
, vol.90
, pp. 117-134
-
-
Davydov, O.1
Nürnberger, G.2
Zeilfelder, F.3
-
19
-
-
0041072293
-
Interpolation by cubic splines on triangulations
-
C.K. Chui, & L.L. Schumaker. Nashville: Vanderbilt University Press
-
Davydov O., Nürnberger G., Zeilfelder F. Interpolation by cubic splines on triangulations. Chui C.K., Schumaker L.L. Approximation Theory IX. 1998;17-24 Vanderbilt University Press, Nashville.
-
(1998)
Approximation Theory IX
, pp. 17-24
-
-
Davydov, O.1
Nürnberger, G.2
Zeilfelder, F.3
-
21
-
-
0040478101
-
On almost interpolation by multivariate splines
-
G. Nürnberger, J.W. Schmidt, Walz G. Basel: Birkhäuser
-
Davydov O., Sommer M., Strauss H. On almost interpolation by multivariate splines. Nürnberger G., Schmidt J.W., Walz G. Multivariate Approximation and Splines, International Series of Numerical Mathematics. 125:1997;59-72 Birkhäuser, Basel.
-
(1997)
Multivariate Approximation and Splines, International Series of Numerical Mathematics
, vol.125
, pp. 59-72
-
-
Davydov, O.1
Sommer, M.2
Strauss, H.3
-
22
-
-
46149129389
-
Triangular Bernstein-Bézier patches
-
Farin G. Triangular Bernstein-Bézier patches. Comput. Aided Geom. Design. 3:1986;83-127.
-
(1986)
Comput. Aided Geom. Design
, vol.3
, pp. 83-127
-
-
Farin, G.1
-
25
-
-
0040478102
-
1 quartic bivariate splines
-
1 quartic bivariate splines J. Math. Res. Expo. 11:1991;433-442.
-
(1991)
J. Math. Res. Expo.
, vol.11
, pp. 433-442
-
-
Gao, J.1
-
26
-
-
0039885198
-
2 finite element and interpolation
-
2 finite element and interpolation Computing. 50:1993;69-76.
-
(1993)
Computing
, vol.50
, pp. 69-76
-
-
Gao, J.1
-
27
-
-
0025468684
-
Smooth interpolation to scattered data by bivariate piecewise polynomials of odd degree
-
Gmelig Meyling R.H.J., Pfluger P.R. Smooth interpolation to scattered data by bivariate piecewise polynomials of odd degree. Comput. Aided Geom. Design. 7:1990;439-458.
-
(1990)
Comput. Aided Geom. Design
, vol.7
, pp. 439-458
-
-
Gmelig Meyling, R.H.J.1
Pfluger, P.R.2
-
29
-
-
0000459863
-
Super spline spaces of smoothness r and degree d ≥ 3r+2
-
Ibrahim A., Schumaker L.L. Super spline spaces of smoothness. r and degree d ≥ 3r+2 Constr. Approx. 7:1991;401-423.
-
(1991)
Constr. Approx.
, vol.7
, pp. 401-423
-
-
Ibrahim, A.1
Schumaker, L.L.2
-
30
-
-
0000161210
-
1 cubic splines on a non uniform type-2 triangulation of a rectangular domain
-
1 cubic splines on a non uniform type-2 triangulation of a rectangular domain C.R. Acad. Sci. Paris Sér. I Math. 314:1992;413-418.
-
(1992)
C.R. Acad. Sci. Paris Sér. I Math.
, vol.314
, pp. 413-418
-
-
Jeeawock-Zedek, F.1
-
31
-
-
0039926214
-
Hermite and Lagrange interpolation by quadratic splines on non-uniform criss-cross triangulations
-
in: P.J. Laurent et al. (Eds.), Wesley, MA
-
F. Jeeawock-Zedek, P. Sablonnière, Hermite and Lagrange interpolation by quadratic splines on non-uniform criss-cross triangulations, in: P.J. Laurent et al. (Eds.), Wavelets, Images and Surface Fitting, Wesley, MA, 1994, pp. 445-452.
-
(1994)
Wavelets, Images and Surface Fitting
, pp. 445-452
-
-
Jeeawock-Zedek, F.1
Sablonnière, P.2
-
35
-
-
0009616148
-
On the approximation power of bivariate splines
-
Lai M.-J., Schumaker L.L. On the approximation power of bivariate splines. Adv. Comput. Math. 9:1998;251-279.
-
(1998)
Adv. Comput. Math.
, vol.9
, pp. 251-279
-
-
Lai, M.-J.1
Schumaker, L.L.2
-
36
-
-
0000675744
-
On the approximation power of splines on triangulated quadrangulations
-
Lai M.-J., Schumaker L.L. On the approximation power of splines on triangulated quadrangulations. SIAM J. Numer. Anal. 36:1999;143-159.
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, pp. 143-159
-
-
Lai, M.-J.1
Schumaker, L.L.2
-
37
-
-
84966234880
-
1 piecewise polynomials of degree n ≥ 5
-
1 piecewise polynomials of degree n ≥ 5 Math. Comp. 29:1975;736-740.
-
(1975)
Math. Comp.
, vol.29
, pp. 736-740
-
-
Morgan, J.1
Scott, R.2
-
38
-
-
0030295901
-
Approximation order of bivariate spline interpolation
-
Nürnberger G. Approximation order of bivariate spline interpolation. J. Approx. Theory. 87:1996;117-136.
-
(1996)
J. Approx. Theory
, vol.87
, pp. 117-136
-
-
Nürnberger, G.1
-
39
-
-
0007162020
-
Interpolation by bivariate splines on crosscut partitions
-
G. Nürnberger, J.W. Schmidt, Walz G. Basel: Birkhäuser
-
Nürnberger G., Davydov O., Walz G., Zeilfelder F. Interpolation by bivariate splines on crosscut partitions. Nürnberger G., Schmidt J.W., Walz G. Multivariate Approximation and Splines, International Series of Numerical Mathematics. 125:1997;189-204 Birkhäuser, Basel.
-
(1997)
Multivariate Approximation and Splines, International Series of Numerical Mathematics
, vol.125
, pp. 189-204
-
-
Nürnberger, G.1
Davydov, O.2
Walz, G.3
Zeilfelder, F.4
-
40
-
-
0001805405
-
Lagrange and Hermite interpolation by bivariate splines
-
Nürnberger G., Rießinger T. Lagrange and Hermite interpolation by bivariate splines. Numer. Funct. Anal. Optim. 13:1992;75-96.
-
(1992)
Numer. Funct. Anal. Optim.
, vol.13
, pp. 75-96
-
-
Nürnberger, G.1
Rießinger, T.2
-
41
-
-
21844490083
-
Bivariate spline interpolation at grid points
-
Nürnberger G., Rießinger T. Bivariate spline interpolation at grid points. Numer. Math. 71:1995;91-119.
-
(1995)
Numer. Math.
, vol.71
, pp. 91-119
-
-
Nürnberger, G.1
Rießinger, T.2
-
43
-
-
4244173431
-
Spline interpolation on convex quadrangulations
-
C.K. Chui, & L.L. Schumaker. Nashville: Vanderbilt University Press
-
Nürnberger G., Zeilfelder F. Spline interpolation on convex quadrangulations. Chui C.K., Schumaker L.L. Approximation Theory IX. 1998;259-266 Vanderbilt University Press, Nashville.
-
(1998)
Approximation Theory IX
, pp. 259-266
-
-
Nürnberger, G.1
Zeilfelder, F.2
-
45
-
-
0011554244
-
Interpolation by bivariate quadratic splines on a four-directional mesh
-
Rießinger T. Interpolation by bivariate quadratic splines on a four-directional mesh. Computing. 49:1992;129-137.
-
(1992)
Computing
, vol.49
, pp. 129-137
-
-
Rießinger, T.1
-
46
-
-
0001881630
-
2
-
C.K. Chui, L.L. Schumaker, & F.I. Utreras. New York: Academic Press
-
2 Chui C.K., Schumaker L.L., Utreras F.I. Topics in Multivariate Approximation. 1987;207-217 Academic Press, New York.
-
(1987)
Topics in Multivariate Approximation
, pp. 207-217
-
-
Sablonnière, P.1
-
47
-
-
0000998772
-
Bornes supérieures et inférieures dans l'analyse matricielle des plaques en flexion-torsion
-
Sander G. Bornes supérieures et inférieures dans l'analyse matricielle des plaques en flexion-torsion. Bull. Soc. Roy. Sci. Liège. 33:1964;456-494.
-
(1964)
Bull. Soc. Roy. Sci. Liège
, vol.33
, pp. 456-494
-
-
Sander, G.1
-
48
-
-
0024105787
-
Dual bases for spline spaces on a cell
-
Schumaker L.L. Dual bases for spline spaces on a cell. Comput. Aided Geom. Design. 5:1987;277-284.
-
(1987)
Comput. Aided Geom. Design
, vol.5
, pp. 277-284
-
-
Schumaker, L.L.1
-
49
-
-
0001383268
-
On super splines and finite elements
-
Schumaker L.L. On super splines and finite elements. SIAM J. Numer. Anal. 4:1989;997-1005.
-
(1989)
SIAM J. Numer. Anal.
, vol.4
, pp. 997-1005
-
-
Schumaker, L.L.1
-
52
-
-
38249009301
-
2 -quintic spline interpolation scheme on triangulation
-
2 -quintic spline interpolation scheme on triangulation Comp. Aided Geom. Design. 9:1992;379-386.
-
(1992)
Comp. Aided Geom. Design
, vol.9
, pp. 379-386
-
-
Wang, T.1
|