Edit Profile (opens in new tab) Goodman, Timothy N. T. Co-Author Distance Author ID: goodman.timothy-n-t Published as: Goodman, T. N. T.; Goodman, Tim N. T.; Goodman, Tim; Goodman, Timothy N. T.; Goodman, T. N. more...less External Links: ResearchGate · dblp Documents Indexed: 160 Publications since 1971 2 Contributions as Editor Co-Authors: 46 Co-Authors with 116 Joint Publications 1,276 Co-Co-Authors all top 5 Co-Authors 46 single-authored 38 Lee, Seng Luan 17 Micchelli, Charles A. 16 Sharma, Ambikeshwar 12 Goh, Say Song 8 Ong, Boon-Hua 8 Unsworth, Keith 5 Carnicer, Jésus Miguel 5 Peña, Juan Manuel 4 Rodriguez, Giuseppe 4 Said, Hassan B. 4 Seatzu, Sebastiano 3 Davydov, Oleg V. 2 Buhmann, Martin Dietrich 2 Dahmen, Wolfgang A. 2 Farouki, Rida T. 2 Hardin, Douglas P. 2 Jia, Rong-Qing 2 Meek, Dereck S. 2 Tang, Wai-Shing 2 Ward, Joseph Dinneen 1 Bettayeb, Abdellatif 1 Cavaretta, Alfred S. jun. 1 Chang, Lawrence H. T. 1 Chen, Louis Hsiao-Yun 1 Costantini, Paolo Giuseppe 1 Dyn, Nira 1 Foley, Thomas A. 1 Gao, Xiaojie 1 Ivanov, Kamen G. 1 Manni, Carla 1 Martin, Ralph R. 1 Mazure, Marie-Laurence 1 Peters, Jorg 1 Phillips, George M. 1 Piah, Abd. Rahni Mt. 1 Sampoli, Maria Lucia 1 Sauer, Tomas 1 Schoenberg, Isaac Jacob 1 Shang, Fuchun 1 Shen, Zuowei 1 Sun, Qiyu 1 Ta’ani, A. A. 1 Tofallis, Chris 1 Walton, Desmond J. 1 Yu, Thomas Pok-Yin 1 Zhou, Dingxuan all top 5 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 all top 5 Fields 103 Approximations and expansions (41-XX) 53 Numerical analysis (65-XX) 45 Harmonic analysis on Euclidean spaces (42-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Computer science (68-XX) 6 Functions of a complex variable (30-XX) 5 Real functions (26-XX) 5 Operator theory (47-XX) 4 Information and communication theory, circuits (94-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 2 General and overarching topics; collections (00-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 1 Commutative algebra (13-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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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 all top 5 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) 3 Integral transforms, operational calculus (44-XX) 3 Geometry (51-XX) 3 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 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) Citations by Year