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Goodman, Timothy N. T.

Author ID: goodman.timothy-n-t Recent zbMATH articles by "Goodman, Timothy N. T."
Published as: Goodman, T. N. T.; Goodman, Tim N. T.; Goodman, Tim; Goodman, Timothy N. T.; Goodman, T. N.
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Serials

19 Journal of Approximation Theory
11 Computer Aided Geometric Design
8 Advances in Computational Mathematics
7 Transactions of the American Mathematical Society
7 Constructive Approximation
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Applied and Computational Harmonic Analysis
3 Journal of Computational and Applied Mathematics
3 Southeast Asian Bulletin of Mathematics
3 CAD. Computer-Aided Design
3 Linear Algebra and its Applications
2 Rocky Mountain Journal of Mathematics
2 Mathematics of Computation
2 Canadian Journal of Mathematics
2 Journal of the London Mathematical Society. Second Series
2 Numerische Mathematik
2 Approximation Theory and its Applications
2 SIAM Journal on Mathematical Analysis
2 Annals of Numerical Mathematics
2 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas
1 American Mathematical Monthly
1 IMA Journal of Numerical Analysis
1 Applied Mathematics and Computation
1 BIT
1 Bulletin of the London Mathematical Society
1 Bulletin of the Malaysian Mathematical Society. Second Series
1 Computing
1 Gaṇita
1 Indagationes Mathematicae
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Numerical Analysis
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Communications in Applied Numerical Methods
1 Mathematica Balkanica. New Series
1 SIAM Journal on Matrix Analysis and Applications
1 IEEE Transactions on Signal Processing
1 Journal of the Royal Statistical Society. Series B
1 Bulletin. The Institute of Mathematics and its Applications
1 Mathematical Engineering in Industry
1 Foundations of Computational Mathematics
1 Annales Societatis Mathematicae Polonae

Publications by Year

Citations contained in zbMATH Open

123 Publications have been cited 1,290 times in 1,006 Documents Cited by Year
Relating topological entropy and measure entropy. Zbl 0219.54037
Goodman, T. N. T.
86
1971
Topological sequence entropy. Zbl 0293.54043
Goodman, T. N. T.
73
1974
On the optimal stability of the Bernstein basis. Zbl 0853.65051
Farouki, R. T.; Goodman, T. N. T.
68
1996
Wavelets in wandering subspaces. Zbl 0777.41011
Goodman, T. N. T.; Lee, S. L.; Tang, W. S.
51
1993
Spectral radius formulas for subdivision operators. Zbl 0840.42020
Goodman, T. N. T.; Micchelli, Charles A.; Ward, J. D.
48
1994
Wavelets of multiplicity \(r\). Zbl 0799.41013
Goodman, T. N. T.; Lee, S. L.
48
1994
Shape preserving representations. Zbl 0693.41027
Goodman, T. N. T.
44
1989
Total positivity and the shape of curves. Zbl 0894.68159
Goodman, Tim N. T.
43
1996
Properties of \(\beta\)-splines. Zbl 0569.41010
Goodman, T. N. T.
40
1985
A modified Bernstein-Schoenberg operator. Zbl 0737.41023
Goodman, T. N. T.; Sharma, A.
38
1988
Shape preserving properties of the generalised Ball basis. Zbl 0729.65006
Goodman, T. N. T.; Said, H. B.
35
1991
Convexity and generalized Bernstein polynomials. Zbl 0930.41010
Goodman, Tim N. T.; Phillips, George M.
34
1999
Compactly supported fundamental functions for spline interpolation. Zbl 0646.65012
Dahmen, Wolfgang; Goodman, T. N. T.; Micchelli, Charles A.
31
1988
Spectral fractorization of Laurent polynomials. Zbl 0886.65013
Goodman, Tim N. T.; Micchelli, Charles A.; Rodriguez, Giuseppe; Seatzu, Sebastiano
28
1997
Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains. Zbl 1069.65517
Farouki, Rida T.; Goodman, T. N. T.; Sauer, Thomas
27
2003
Properties of generalized Ball curves and surfaces. Zbl 0749.65009
Goodman, T. N. T.; Said, H. B.
25
1991
Blossoming beyond extended Chebyshev spaces. Zbl 0996.41005
Goodman, Tim; Mazure, Marie-Laurence
23
2001
On refinement equations determined by Pólya frequency sequences. Zbl 0761.42015
Goodman, T. N. T.; Micchelli, Charles A.
23
1992
Shape-preserving interpolation by parametrically defined curves. Zbl 0675.65003
Goodman, T. N. T.; Unsworth, K.
21
1988
Shape preserving interpolation by curvature continuous parametric curves. Zbl 0656.65005
Goodman, T. N. T.; Unsworth, K.
20
1988
A Bernstein type operator on the simplex. Zbl 0761.41019
Goodman, T. N. T.; Sharma, A.
19
1991
Constrained interpolation using rational cubic splines. Zbl 0772.41001
Goodman, T. N. T.; Ong, B. H.; Unsworth, K.
18
1991
Corner cutting algorithms for the Bézier representation of free form curves. Zbl 0652.41003
Goodman, T. N. T.; Micchelli, Charles A.
16
1988
Local derivative estimation for scattered data interpolation. Zbl 0820.65002
Goodman, T. N. T.; Said, H. B.; Chang, L. H. T.
15
1995
Inflections on curves in two and three dimensions. Zbl 0719.65011
Goodman, T. N. T.
14
1991
Uncertainty principles and asymptotic behavior. Zbl 1036.94529
Goh, Say Song; Goodman, Tim N. T.
12
2004
Positive powers of certain conditionally negative definite matrices. Zbl 0602.15018
Dyn, Nira; Goodman, Timothy N. T.; Micchelli, Charles A.
12
1986
Shape preserving interpolation by space curves. Zbl 0891.68115
Goodman, T. N. T.; Ong, B. H.
11
1997
Variation diminishing properties of Bernstein polynomials on triangles. Zbl 0618.41007
Goodman, T. N. T.
11
1987
Closed surfaces defined from biquadratic splines. Zbl 0732.41010
Goodman, T. N. T.
11
1991
Convergence of nonstationary cascade algorithms. Zbl 0945.65157
Goodman, T. N. T.; Lee, S. L.
10
1999
On the Cholesky factorization of the Gram matrix of multivariate functions. Zbl 0977.65024
Goodman, Tim N. T.; Micchelli, Charles A.; Rodriguez, Giuseppe; Seatzu, Sebastiano
10
2000
Spline approximation operators of Bernstein-Schoenberg type in one and two variables. Zbl 0482.41010
Goodman, T. N. T.; Lee, S. L.
9
1981
Total positivity and refinable functions with general dilation. Zbl 1042.42031
Goodman, T. N. T.; Sun, Qiyu
9
2004
Construction of wavelets with multiplicity. Zbl 0810.42017
Goodman, T. N. T.
9
1994
A \(C^ 1\) triangular interpolant suitable for scattered data interpolation. Zbl 0746.65007
Goodman, T. N. T.; Said, H. B.
9
1991
Shape preserving interpolation by parametric rational cubic splines. Zbl 0656.65006
Goodman, T. N. T.
8
1988
Uncertainty principles and optimality on circles and spheres. Zbl 1059.42007
Goodman, Tim N. T.; Goh, Say Song
8
2004
Automatic interpolation by fair, shape-preserving, \(G^2\) space curves. Zbl 1083.65502
Goodman, T. N. T.; Ong, B. H.; Sampoli, M. L.
8
1998
Interpolation in minimum semi-norm and multivariate B-splines. Zbl 0518.41004
Goodman, T. N. T.
7
1983
Interpolatory and variation-diminishing properties of generalized B- splines. Zbl 0548.41006
Goodman, T. N. T.; Lee, S. L.
7
1984
Refinable multivariate spline functions. Zbl 1205.41008
Goodman, Tim; Hardin, Doug
7
2005
On the Cholesky factorization of the Gram matrix of locally supported functions. Zbl 0833.15010
Goodman, T. N. T.; Micchelli, C. A.; Rodriguez, G.; Seatzu, S.
7
1995
On the spectral radius of a bi-infinite periodic and slanted matrix. Zbl 0920.15002
Goodman, Tim N. T.; Jia, Rong-Qing; Micchelli, Charles A.
7
1998
Constructing piecewise rational curves with Frenet frame continuity. Zbl 0709.65010
Goodman, T. N. T.
7
1990
Convexity of Bézier nets on triangulations. Zbl 0731.41009
Goodman, T. N. T.
7
1991
Interpolatory Hermite spline wavelets. Zbl 0805.41008
Goodman, T. N. T.
7
1994
Multi-box splines. Zbl 1148.41008
Goodman, Tim N. T.
6
2007
An involute spiral that matches \(G^{2}\) Hermite data in the plane. Zbl 1205.65083
Goodman, T. N. T.; Meek, D. S.; Walton, D. J.
6
2009
Local linear independence of refinable vectors of functions. Zbl 0956.42021
Goodman, T. N. T.; Jia, R.-Q.; Zhou, D.-X.
6
2000
Wavelet bases for a set of commuting unitary operators. Zbl 0824.65031
Goodman, T. N. T.; Lee, S. L.; Tang, W. S.
6
1993
Orthonormal cardinal functions. Zbl 0857.42021
Goodman, T. N. T.; Micchelli, Charles A.
6
1994
Positivity-preserving scattered data interpolation. Zbl 1141.65344
Piah, Abd. Rahni Mt.; Goodman, Tim N. T.; Unsworth, Keith
6
2005
B-splines on the circle and trigonometric B-splines. Zbl 0574.41009
Goodman, T. N. T.; Lee, S. L.
6
1984
Asymptotic normality of scaling functions. Zbl 1076.41007
Chen, Louis H. Y.; Goodman, Tim N. T.; Lee, S. L.
6
2004
Convexity preserving scattered data interpolation using Powell-Sabin elements. Zbl 1205.65057
Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M.
5
2009
Convergence of cascade algorithms. Zbl 0905.65136
Goodman, T. N. T.; Lee, S. L.
5
1998
On the limiting profile arising from orthonormalizing shifts of exponentially decaying functions. Zbl 0909.65006
Goodman, Tim N. T.; Micchelli, Charles A.; Rodriguez, Giuseppe; Seatzu, Sebastiano
5
1998
Refinable spline functions and Hermite interpolation. Zbl 0989.65154
Goodman, Tim N. T.
5
2001
Multivariate interpolation and the Radon transform. III: Lagrange representation. Zbl 0578.41001
Cavaretta, A. S. jun.; Goodman, T. N. T.; Micchelli, C. A.; Sharma, A.
5
1983
Further variation diminishing properties of Bernstein polynomials on triangles. Zbl 0634.41020
Goodman, T. N. T.
4
1987
Geometrically continuous surfaces defined parametrically from piecewise polynomials. Zbl 0641.41011
Goodman, T. N. T.; Lee, S. L.
4
1987
An algorithm for shape preserving parametric interpolating curves with \(G^ 2\) continuity. Zbl 0681.41002
Foley, T. A.; Goodman, T. N. T.; Unsworth, K.
4
1989
Pairs of refinable bivariate splines. Zbl 1273.41005
Goodman, Tim
4
1996
The Budan-Fourier theorem and Hermite-Birkhoff spline interpolation. Zbl 0496.41003
Goodman, T. N. T.; Lee, S. L.
4
1982
Asymptotic optimality in time-frequency localization of scaling functions and wavelets. Zbl 1198.42043
Goodman, T. N. T.; Lee, S. L.
4
2007
Shape preserving interpolation by \(G^2\) curves in three dimensions. Zbl 0940.65008
Goodman, T. N. T.; Ong, B. H.
4
1997
Refinable vectors of spline functions. Zbl 0905.65137
Goodman, T. N. T.; Lee, S. L.
4
1998
Constructing \(C^3\) shape preserving interpolating space curves. Zbl 0977.65005
Costantini, P.; Goodman, T. N. T.; Manni, C.
4
2001
Properties of bivariate refinable spline pairs. Zbl 0897.41006
Goodman, T. N. T.
4
1997
Joining rational curves smoothly. Zbl 0744.65010
Goodman, T. N. T.
4
1991
Planar interpolation with a pair of rational spirals. Zbl 1112.41001
Goodman, T. N. T.; Meek, D. S.
3
2007
Causality properties of refinable functions and sequences. Zbl 1128.65113
Goh, Say Song; Goodman, Tim N. T.; Lee, S. L.
3
2007
Constructing pairs of refinable bivariate spline functions. Zbl 0937.41007
Goodman, Tim N. T.
3
1997
Spectral radius formulas for the dilation-convolution integral operator. Zbl 0843.42014
Goodman, T. N. T.; Micchelli, Charles; Ward, J. D.
3
1995
Injective bivariate maps. Zbl 0873.65005
Goodman, T. N. T.; Unsworth, K.
3
1996
Riesz bases in subspaces of \(L_2 (\mathbb{R}_+)\). Zbl 0997.46024
Goodman, T. N. T.; Micchelli, C. A.; Shen, Zuowei
3
2001
A class of orthogonal refinable functions and wavelets. Zbl 1042.42032
Goodman, Tim N. T.
3
2003
Maximal measures for expansive homeomorphisms. Zbl 0254.28017
Goodman, T. N. T.
3
1972
Bézier nets, convexity and subdivision on higher-dimensional simplices. Zbl 0875.68829
Goodman, Tim N. T.; Peters, Jörg
3
1995
Qualitative probability and improper distributions. Zbl 0374.60002
Goodman, T. N. T.
3
1977
Another extremal property of perfect splines. Zbl 0388.41008
Goodman, T. N. T.; Lee, S. L.
3
1978
Hermite-Birkhoff interpolation by Hermite-Birkhoff splines. Zbl 0461.41001
Goodman, T. N. T.
3
1981
Asymptotic formula for the Berstein-Schoenberg operator. Zbl 0674.41010
Goodman, T. N. T.; Lee, S. L.; Sharma, A.
2
1988
Local spline interpolation schemes in one and several variables. Zbl 0675.41019
Dahmen, Wolfgang; Goodman, T. N. T.; Micchelli, Charles A.
2
1988
Limits of spline functions with periodic knots. Zbl 0494.41005
Goodman, T. N. T.; Micchelli, Charles A.
2
1983
A remainder formula and limits of cardinal spline interpolants. Zbl 0496.41006
Goodman, T. N. T.; Lee, S. L.
2
1982
Linear conditions for positive determinants. Zbl 0934.15006
Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M.
2
1999
A generalization of the variation diminishing property. Zbl 0837.15019
Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M.
2
1995
Constructing tight frames of multivariate functions. Zbl 1182.42030
Goh, Say Song; Goodman, Tim N. T.; Lee, S. L.
2
2009
Characterising pairs of refinable splines. Zbl 0894.41012
Goodman, T. N. T.
2
1997
Box spline prewavelets of small support. Zbl 1027.42032
Buhmann, M. D.; Davydov, O.; Goodman, T. N. T.
2
2001
A property of Bernstein-Schoenberg spline operators. Zbl 0596.41023
Goodman, T. N. T.; Sharma, A.
2
1985
Shape-preserving interpolation by splines using vector subdivision. Zbl 1071.41001
Goodman, T. N. T.; Ong, B. H.
2
2005
Polyhedral splines. Zbl 0694.41019
Goodman, T. N. T.
2
1990
Shape preserving interpolation by planar curves. Zbl 0866.41002
Goodman, Tim
2
1996
New bounds on the zeros of spline functions. Zbl 0799.41012
Goodman, T. N. T.
2
1994
Appell sequences, continuous wavelet transforms and series expansions. Zbl 1373.41003
Goh, Say Song; Goodman, Tim N. T.; Lee, S. L.
2
2017
Orthogonal polynomials, biorthogonal polynomials and spline functions. Zbl 1460.41004
Goh, Say Song; Goodman, Tim N. T.; Lee, S. L.
2
2021
Some properties of bivariate Bernstein-Schoenberg operators. Zbl 0628.41009
Goodman, T. N. T.
1
1987
Orthogonal polynomials, biorthogonal polynomials and spline functions. Zbl 1460.41004
Goh, Say Song; Goodman, Tim N. T.; Lee, S. L.
2
2021
Appell sequences, continuous wavelet transforms and series expansions. Zbl 1373.41003
Goh, Say Song; Goodman, Tim N. T.; Lee, S. L.
2
2017
Estimating maxima of generalized cross ambiguity functions, and uncertainty principles. Zbl 1263.43002
Goh, Say Song; Goodman, Tim N. T.
1
2013
Singular integrals, scale-space and wavelet transforms. Zbl 1281.42038
Goh, Say Song; Goodman, Tim N. T.; Lee, S. L.
1
2013
Some properties of multi-box splines. Zbl 1242.41010
Bettayeb, Abdellatif; Goodman, Tim
1
2011
An involute spiral that matches \(G^{2}\) Hermite data in the plane. Zbl 1205.65083
Goodman, T. N. T.; Meek, D. S.; Walton, D. J.
6
2009
Convexity preserving scattered data interpolation using Powell-Sabin elements. Zbl 1205.65057
Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M.
5
2009
Constructing tight frames of multivariate functions. Zbl 1182.42030
Goh, Say Song; Goodman, Tim N. T.; Lee, S. L.
2
2009
Roundoff errors for polynomial evaluation by a family of formulae. Zbl 1152.65019
Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M.
1
2008
Foveated splines and wavelets. Zbl 1211.65179
Gao, Xiaojie; Goodman, T. N. T.; Lee, S. L.
1
2008
Multi-box splines. Zbl 1148.41008
Goodman, Tim N. T.
6
2007
Asymptotic optimality in time-frequency localization of scaling functions and wavelets. Zbl 1198.42043
Goodman, T. N. T.; Lee, S. L.
4
2007
Planar interpolation with a pair of rational spirals. Zbl 1112.41001
Goodman, T. N. T.; Meek, D. S.
3
2007
Causality properties of refinable functions and sequences. Zbl 1128.65113
Goh, Say Song; Goodman, Tim N. T.; Lee, S. L.
3
2007
Inequalities on time-concentrated or frequency-concentrated functions. Zbl 1099.42002
Goh, Say Song; Goodman, Tim N. T.
1
2006
Refinable multivariate spline functions. Zbl 1205.41008
Goodman, Tim; Hardin, Doug
7
2005
Positivity-preserving scattered data interpolation. Zbl 1141.65344
Piah, Abd. Rahni Mt.; Goodman, Tim N. T.; Unsworth, Keith
6
2005
Shape-preserving interpolation by splines using vector subdivision. Zbl 1071.41001
Goodman, T. N. T.; Ong, B. H.
2
2005
Refinable shift invariant spaces of spline functions. Zbl 1081.41005
Goodman, Tim; Hardin, Doug
1
2005
Uncertainty principles and asymptotic behavior. Zbl 1036.94529
Goh, Say Song; Goodman, Tim N. T.
12
2004
Total positivity and refinable functions with general dilation. Zbl 1042.42031
Goodman, T. N. T.; Sun, Qiyu
9
2004
Uncertainty principles and optimality on circles and spheres. Zbl 1059.42007
Goodman, Tim N. T.; Goh, Say Song
8
2004
Asymptotic normality of scaling functions. Zbl 1076.41007
Chen, Louis H. Y.; Goodman, Tim N. T.; Lee, S. L.
6
2004
Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains. Zbl 1069.65517
Farouki, Rida T.; Goodman, T. N. T.; Sauer, Thomas
27
2003
A class of orthogonal refinable functions and wavelets. Zbl 1042.42032
Goodman, Tim N. T.
3
2003
Cubic spline prewavelets on the four-directional mesh. Zbl 1050.41009
Buhmann, M. D.; Davydov, O.; Goodman, T. N. T.
1
2003
Biorthogonal refinable functions and wavelets from spaces generalising splines. Zbl 1027.42033
Goodman, T. N. T.
1
2002
Blossoming beyond extended Chebyshev spaces. Zbl 0996.41005
Goodman, Tim; Mazure, Marie-Laurence
23
2001
Refinable spline functions and Hermite interpolation. Zbl 0989.65154
Goodman, Tim N. T.
5
2001
Constructing \(C^3\) shape preserving interpolating space curves. Zbl 0977.65005
Costantini, P.; Goodman, T. N. T.; Manni, C.
4
2001
Riesz bases in subspaces of \(L_2 (\mathbb{R}_+)\). Zbl 0997.46024
Goodman, T. N. T.; Micchelli, C. A.; Shen, Zuowei
3
2001
Box spline prewavelets of small support. Zbl 1027.42032
Buhmann, M. D.; Davydov, O.; Goodman, T. N. T.
2
2001
On the Cholesky factorization of the Gram matrix of multivariate functions. Zbl 0977.65024
Goodman, Tim N. T.; Micchelli, Charles A.; Rodriguez, Giuseppe; Seatzu, Sebastiano
10
2000
Local linear independence of refinable vectors of functions. Zbl 0956.42021
Goodman, T. N. T.; Jia, R.-Q.; Zhou, D.-X.
6
2000
Convexity and generalized Bernstein polynomials. Zbl 0930.41010
Goodman, Tim N. T.; Phillips, George M.
34
1999
Convergence of nonstationary cascade algorithms. Zbl 0945.65157
Goodman, T. N. T.; Lee, S. L.
10
1999
Linear conditions for positive determinants. Zbl 0934.15006
Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M.
2
1999
Automatic interpolation by fair, shape-preserving, \(G^2\) space curves. Zbl 1083.65502
Goodman, T. N. T.; Ong, B. H.; Sampoli, M. L.
8
1998
On the spectral radius of a bi-infinite periodic and slanted matrix. Zbl 0920.15002
Goodman, Tim N. T.; Jia, Rong-Qing; Micchelli, Charles A.
7
1998
Convergence of cascade algorithms. Zbl 0905.65136
Goodman, T. N. T.; Lee, S. L.
5
1998
On the limiting profile arising from orthonormalizing shifts of exponentially decaying functions. Zbl 0909.65006
Goodman, Tim N. T.; Micchelli, Charles A.; Rodriguez, Giuseppe; Seatzu, Sebastiano
5
1998
Refinable vectors of spline functions. Zbl 0905.65137
Goodman, T. N. T.; Lee, S. L.
4
1998
Refinable spline functions. Zbl 0922.41007
Goodman, Tim N. T.
1
1998
Spectral fractorization of Laurent polynomials. Zbl 0886.65013
Goodman, Tim N. T.; Micchelli, Charles A.; Rodriguez, Giuseppe; Seatzu, Sebastiano
28
1997
Shape preserving interpolation by space curves. Zbl 0891.68115
Goodman, T. N. T.; Ong, B. H.
11
1997
Shape preserving interpolation by \(G^2\) curves in three dimensions. Zbl 0940.65008
Goodman, T. N. T.; Ong, B. H.
4
1997
Properties of bivariate refinable spline pairs. Zbl 0897.41006
Goodman, T. N. T.
4
1997
Constructing pairs of refinable bivariate spline functions. Zbl 0937.41007
Goodman, Tim N. T.
3
1997
Characterising pairs of refinable splines. Zbl 0894.41012
Goodman, T. N. T.
2
1997
Support and foundation of bases. Zbl 0893.41004
Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M.
1
1997
On the optimal stability of the Bernstein basis. Zbl 0853.65051
Farouki, R. T.; Goodman, T. N. T.
68
1996
Total positivity and the shape of curves. Zbl 0894.68159
Goodman, Tim N. T.
43
1996
Pairs of refinable bivariate splines. Zbl 1273.41005
Goodman, Tim
4
1996
Injective bivariate maps. Zbl 0873.65005
Goodman, T. N. T.; Unsworth, K.
3
1996
Shape preserving interpolation by planar curves. Zbl 0866.41002
Goodman, Tim
2
1996
Hermite interpolation in the roots of unity. Zbl 0846.41002
Goodman, T. N. T.; Ivanov, K. G.; Sharma, A.
1
1996
Local derivative estimation for scattered data interpolation. Zbl 0820.65002
Goodman, T. N. T.; Said, H. B.; Chang, L. H. T.
15
1995
On the Cholesky factorization of the Gram matrix of locally supported functions. Zbl 0833.15010
Goodman, T. N. T.; Micchelli, C. A.; Rodriguez, G.; Seatzu, S.
7
1995
Spectral radius formulas for the dilation-convolution integral operator. Zbl 0843.42014
Goodman, T. N. T.; Micchelli, Charles; Ward, J. D.
3
1995
Bézier nets, convexity and subdivision on higher-dimensional simplices. Zbl 0875.68829
Goodman, Tim N. T.; Peters, Jörg
3
1995
A generalization of the variation diminishing property. Zbl 0837.15019
Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M.
2
1995
A Bernstein-Schoenberg type operator: Shape preserving and limiting behaviour. Zbl 0836.41014
Goodman, T. N. T.; Sharma, A.
1
1995
Asymptotic formulas for multivariate Bernstein-Schoenberg operators. Zbl 0840.41005
Goodman, T. N. T.
1
1995
Spectral radius formulas for subdivision operators. Zbl 0840.42020
Goodman, T. N. T.; Micchelli, Charles A.; Ward, J. D.
48
1994
Wavelets of multiplicity \(r\). Zbl 0799.41013
Goodman, T. N. T.; Lee, S. L.
48
1994
Construction of wavelets with multiplicity. Zbl 0810.42017
Goodman, T. N. T.
9
1994
Interpolatory Hermite spline wavelets. Zbl 0805.41008
Goodman, T. N. T.
7
1994
Orthonormal cardinal functions. Zbl 0857.42021
Goodman, T. N. T.; Micchelli, Charles A.
6
1994
New bounds on the zeros of spline functions. Zbl 0799.41012
Goodman, T. N. T.
2
1994
Wavelets in wandering subspaces. Zbl 0777.41011
Goodman, T. N. T.; Lee, S. L.; Tang, W. S.
51
1993
Wavelet bases for a set of commuting unitary operators. Zbl 0824.65031
Goodman, T. N. T.; Lee, S. L.; Tang, W. S.
6
1993
On refinement equations determined by Pólya frequency sequences. Zbl 0761.42015
Goodman, T. N. T.; Micchelli, Charles A.
23
1992
Shape preserving properties of the generalised Ball basis. Zbl 0729.65006
Goodman, T. N. T.; Said, H. B.
35
1991
Properties of generalized Ball curves and surfaces. Zbl 0749.65009
Goodman, T. N. T.; Said, H. B.
25
1991
A Bernstein type operator on the simplex. Zbl 0761.41019
Goodman, T. N. T.; Sharma, A.
19
1991
Constrained interpolation using rational cubic splines. Zbl 0772.41001
Goodman, T. N. T.; Ong, B. H.; Unsworth, K.
18
1991
Inflections on curves in two and three dimensions. Zbl 0719.65011
Goodman, T. N. T.
14
1991
Closed surfaces defined from biquadratic splines. Zbl 0732.41010
Goodman, T. N. T.
11
1991
A \(C^ 1\) triangular interpolant suitable for scattered data interpolation. Zbl 0746.65007
Goodman, T. N. T.; Said, H. B.
9
1991
Convexity of Bézier nets on triangulations. Zbl 0731.41009
Goodman, T. N. T.
7
1991
Joining rational curves smoothly. Zbl 0744.65010
Goodman, T. N. T.
4
1991
Homogeneous polynomial splines. Zbl 0723.41008
Goodman, T. N. T.; Lee, S. L.
1
1991
Constructing piecewise rational curves with Frenet frame continuity. Zbl 0709.65010
Goodman, T. N. T.
7
1990
Polyhedral splines. Zbl 0694.41019
Goodman, T. N. T.
2
1990
Cardinal interpolation by symmetric exponential box splines on a three- direction mesh. Zbl 0668.41002
Goodman, T. N. T.; Taani, A. A.
1
1990
Shape preserving representations. Zbl 0693.41027
Goodman, T. N. T.
44
1989
An algorithm for shape preserving parametric interpolating curves with \(G^ 2\) continuity. Zbl 0681.41002
Foley, T. A.; Goodman, T. N. T.; Unsworth, K.
4
1989
Approximation and interpolation by complex splines on the torus. Zbl 0647.41010
Goodman, T. N. T.; Lee, S. L.; Sharma, A.
1
1989
A modified Bernstein-Schoenberg operator. Zbl 0737.41023
Goodman, T. N. T.; Sharma, A.
38
1988
Compactly supported fundamental functions for spline interpolation. Zbl 0646.65012
Dahmen, Wolfgang; Goodman, T. N. T.; Micchelli, Charles A.
31
1988
Shape-preserving interpolation by parametrically defined curves. Zbl 0675.65003
Goodman, T. N. T.; Unsworth, K.
21
1988
Shape preserving interpolation by curvature continuous parametric curves. Zbl 0656.65005
Goodman, T. N. T.; Unsworth, K.
20
1988
Corner cutting algorithms for the Bézier representation of free form curves. Zbl 0652.41003
Goodman, T. N. T.; Micchelli, Charles A.
16
1988
Shape preserving interpolation by parametric rational cubic splines. Zbl 0656.65006
Goodman, T. N. T.
8
1988
Asymptotic formula for the Berstein-Schoenberg operator. Zbl 0674.41010
Goodman, T. N. T.; Lee, S. L.; Sharma, A.
2
1988
Local spline interpolation schemes in one and several variables. Zbl 0675.41019
Dahmen, Wolfgang; Goodman, T. N. T.; Micchelli, Charles A.
2
1988
Convolution operators with trigonometric spline kernels. Zbl 0656.41007
Goodman, T. N. T.; Lee, S. L.
1
1988
Variation diminishing properties of Bernstein polynomials on triangles. Zbl 0618.41007
Goodman, T. N. T.
11
1987
Further variation diminishing properties of Bernstein polynomials on triangles. Zbl 0634.41020
Goodman, T. N. T.
4
1987
Geometrically continuous surfaces defined parametrically from piecewise polynomials. Zbl 0641.41011
Goodman, T. N. T.; Lee, S. L.
4
1987
...and 23 more Documents
all top 5

Cited by 1,104 Authors

40 Goodman, Timothy N. T.
37 Peña, Juan Manuel
30 Mazure, Marie-Laurence
18 Lee, Seng Luan
14 Acu, Ana Maria
14 Jia, Rong-Qing
14 Manni, Carla
12 Carnicer, Jésus Miguel
12 Rasa, Ioan
11 Farouki, Rida T.
11 Goh, Say Song
11 Goldman, Ronald N.
10 Duan, Qi
10 Han, Xuli
10 Micchelli, Charles A.
10 Ye, Xiangdong
9 Casciola, Giulio
9 Hussain, Malik Zawwar
9 Mainar, Esmeralda
9 Pitolli, Francesca
9 Speleers, Hendrik
8 Beccari, Carolina Vittoria
8 Costantini, Paolo Giuseppe
8 Delgado, Jorge F. M.
8 Huang, Wen
8 San Antolín, Angel
8 Twizell, E. H.
8 Zhou, Dingxuan
7 Chen, Ercai
7 De Villiers, Johan Marthinus
7 Li, Song
7 Mahmudov, Nazim Idrisoglu
7 Ong, Boon-Hua
7 Oruç, Halil
7 Romani, Lucia
7 Zalik, Richard A.
6 Chui, Charles Kam-tai
6 Conti, Costanza
6 Floater, Michael S.
6 Gori, Laura
6 Han, Bin
6 Hussain, Maria
6 Meek, Dereck S.
6 Plonka, Gerlind
6 Rababah, Abedallah
6 Schumaker, Larry L.
6 Siewer, Ralf
6 Sun, Qiyu
6 Zhang, Ruifeng
6 Zhou, Xinlong
6 Zhu, Yuanpeng
5 Abel, Ulrich
5 Barrera, Domingo
5 Cánovas, Jose S.
5 Charina, Maria
5 Cheng, Zhengxing
5 Gupta, Vijay
5 Jiang, Qingtang
5 Jüttler, Bert
5 Lyche, Tom
5 Ma, Weiyin
5 Ostrovska, Sofiya
5 Peters, Jorg
5 Sánchez-Reyes, Javier
5 Sarfraz, Muhammad
5 Sauer, Tomas
5 Wang, Guojin
5 Yan, Kesong
5 Yang, Shouzhi
4 Ait-Haddou, Rachid
4 Cui, Lihong
4 Datt, Gopal
4 Degen, Wendelin L. F.
4 Dou, Dou
4 Dyn, Nira
4 Gemignani, Luca
4 Höllig, Klaus H.
4 Iglewska-Nowak, Ilona
4 Jiménez López, Víctor
4 Komornik, Jozef
4 Komornikova, Magda
4 Kong, Voon Pang
4 Kuzmin, Dmitri
4 Lebedeva, Elena A.
4 Liu, Lei
4 Neamtu, Marian
4 Pelosi, Francesca
4 Rawla, Mandeep Singh
4 Rodriguez, Giuseppe
4 Sablonnière, Paul
4 Sharma, Ambikeshwar
4 Shen, Zuowei
4 Simeonov, Plamen C.
4 Sun, Wenchang
4 Van der Mee, Cornelis Victor Maria
4 Walton, Desmond J.
4 Wang, Liqiu
4 Wei, Daren
4 Yang, Jianbin
4 Zhang, Guohua
...and 1,004 more Authors
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Cited in 220 Serials

102 Computer Aided Geometric Design
83 Journal of Computational and Applied Mathematics
60 Journal of Approximation Theory
39 Applied Mathematics and Computation
38 Applied and Computational Harmonic Analysis
34 Advances in Computational Mathematics
24 Numerical Algorithms
23 Constructive Approximation
22 Linear Algebra and its Applications
17 Computers & Mathematics with Applications
17 Numerische Mathematik
16 Journal of Mathematical Analysis and Applications
16 Mathematics of Computation
15 Proceedings of the American Mathematical Society
14 Ergodic Theory and Dynamical Systems
12 Mathematics and Computers in Simulation
11 BIT
11 The Journal of Fourier Analysis and Applications
10 Transactions of the American Mathematical Society
10 Science China. Mathematics
9 Journal of Differential Equations
9 Results in Mathematics
9 Applied Numerical Mathematics
9 Applied Mathematics. Series B (English Edition)
8 International Journal of Computer Mathematics
8 Journal of Applied Mathematics
7 Journal of Dynamics and Differential Equations
7 Abstract and Applied Analysis
7 Journal of Inequalities and Applications
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Israel Journal of Mathematics
6 Topology and its Applications
6 Discrete and Continuous Dynamical Systems
6 Acta Mathematica Sinica. English Series
6 Qualitative Theory of Dynamical Systems
6 Mediterranean Journal of Mathematics
5 Computer Methods in Applied Mechanics and Engineering
5 Journal of Computational Physics
5 Calcolo
5 Applied Mathematics Letters
5 Journal of Difference Equations and Applications
5 Dynamical Systems
5 International Journal of Wavelets, Multiresolution and Information Processing
5 Advances in Difference Equations
4 Linear and Multilinear Algebra
4 Journal of Functional Analysis
4 Mathematica Slovaca
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Acta Applicandae Mathematicae
4 Mathematical and Computer Modelling
4 Annals of Functional Analysis
4 Advances in Operator Theory
3 Applicable Analysis
3 Bulletin of the Australian Mathematical Society
3 Journal d’Analyse Mathématique
3 Nonlinearity
3 Annales de l’Institut Fourier
3 Journal of Computer Science and Technology
3 Journal of Scientific Computing
3 The Journal of Geometric Analysis
3 Applied Mathematical Modelling
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 SIAM Journal on Scientific Computing
3 Numerical Linear Algebra with Applications
3 Positivity
3 The ANZIAM Journal
3 Journal of Applied Mathematics and Computing
3 Analysis in Theory and Applications
2 Communications in Mathematical Physics
2 International Journal of Systems Science
2 Studia Mathematica
2 Advances in Mathematics
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2 Integral Equations and Operator Theory
2 Journal of Multivariate Analysis
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2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Advances in Applied Mathematics
2 Acta Mathematica Hungarica
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 SIAM Journal on Matrix Analysis and Applications
2 Multidimensional Systems and Signal Processing
2 Computational Mathematics and Mathematical Physics
2 Communications in Numerical Methods in Engineering
2 Computational and Applied Mathematics
2 Engineering Analysis with Boundary Elements
2 Mathematical Problems in Engineering
2 Discrete and Continuous Dynamical Systems. Series B
2 Stochastics and Dynamics
2 Analysis and Applications (Singapore)
2 Journal of Modern Dynamics
2 Tbilisi Mathematical Journal
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Journal of Function Spaces
2 International Journal of Applied and Computational Mathematics
2 Constructive Mathematical Analysis
1 Computer Physics Communications
1 Houston Journal of Mathematics
...and 120 more Serials
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Cited in 52 Fields

458 Numerical analysis (65-XX)
353 Approximations and expansions (41-XX)
202 Harmonic analysis on Euclidean spaces (42-XX)
143 Dynamical systems and ergodic theory (37-XX)
56 Computer science (68-XX)
54 Operator theory (47-XX)
47 Linear and multilinear algebra; matrix theory (15-XX)
41 Measure and integration (28-XX)
38 Information and communication theory, circuits (94-XX)
36 Real functions (26-XX)
35 General topology (54-XX)
31 Functional analysis (46-XX)
30 Special functions (33-XX)
17 Functions of a complex variable (30-XX)
17 Partial differential equations (35-XX)
15 Difference and functional equations (39-XX)
14 Number theory (11-XX)
13 Probability theory and stochastic processes (60-XX)
12 Statistics (62-XX)
10 Topological groups, Lie groups (22-XX)
10 Ordinary differential equations (34-XX)
10 Differential geometry (53-XX)
8 Field theory and polynomials (12-XX)
8 Operations research, mathematical programming (90-XX)
7 Combinatorics (05-XX)
7 Abstract harmonic analysis (43-XX)
7 Fluid mechanics (76-XX)
7 Systems theory; control (93-XX)
6 Mechanics of deformable solids (74-XX)
5 Integral equations (45-XX)
5 Convex and discrete geometry (52-XX)
4 Algebraic geometry (14-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 Mathematical logic and foundations (03-XX)
3 Group theory and generalizations (20-XX)
3 Several complex variables and analytic spaces (32-XX)
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1 General and overarching topics; collections (00-XX)
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1 Global analysis, analysis on manifolds (58-XX)
1 Optics, electromagnetic theory (78-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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