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## Goldman, Ron N.

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 Author ID: goldman.ron-n Published as: Goldman, R.; Goldman, R. N.; Goldman, Ron; Goldman, Ron N.; Goldman, Rong
 Documents Indexed: 102 Publications since 1968, including 4 Books
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#### Co-Authors

 9 single-authored 10 Simeonov, Plamen C. 7 Jia, Xiaohong 7 Wang, Xuhui 6 Lodha, Suresh Kumar 6 Wang, Haohao 5 Morin, Géraldine 4 Dişibüyük, Çetin 4 Mann, Stephen 3 Brunnett, Guido H. 3 Farin, Gerald E. 3 Hahmann, Stefanie 3 Shen, Liyong 3 Shi, Xiaoran 3 Xu, Xiaowei 2 Alcazar, Juan Gerardo 2 Budakçı, Gülter 2 Du, Juan 2 Dyn, Nira 2 Habib, Ayman W. 2 Krasauskas, Rimvydas 2 Oruç, Halil 2 Sederberg, Thomas W. 2 Song, Ning 2 Zafiris, Vasilis G. 2 Zeng, Xiaoming 2 Zhang, Ming 1 Ait-Haddou, Rachid 1 Barry, Phil 1 Busé, Laurent 1 Chen, Falai 1 Chionh, Eng-Wee 1 Du, Hang 1 Feng, Yifei 1 Hoffman, Jerome William 1 Khetan, Arnit 1 Levin, David A. 1 Li, Meng 1 Ning, Song 1 Pérez-Díaz, Sonia 1 Ramshaw, Lyle 1 Sederberg, Tom 1 Simsek, Yilmaz 1 Tsianos, Konstantinos I. 1 Walz, Guido 1 Wang, Wenping 1 Warren, Joe D.
all top 5

#### Serials

 29 Computer Aided Geometric Design 5 Journal of Symbolic Computation 4 Journal of Approximation Theory 3 Calcolo 3 Advances in Applied Clifford Algebras 2 Computing 2 Journal of Computational and Applied Mathematics 2 Numerical Algorithms 2 Annals of Numerical Mathematics 1 Discrete Mathematics 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 BIT 1 Journal of Geometry 1 Results in Mathematics 1 Applied Numerical Mathematics 1 Constructive Approximation 1 SIAM Journal on Discrete Mathematics 1 CAD. Computer-Aided Design 1 International Journal of Computational Geometry & Applications 1 Fractals 1 Foundations of Computational Mathematics 1 Contemporary Mathematics 1 Mathematics in Computer Science 1 European Journal of Pure and Applied Mathematics 1 Synthesis Lectures on Computer Graphics and Animation 1 SIAM Journal on Applied Algebra and Geometry
all top 5

#### Fields

 61 Numerical analysis (65-XX) 21 Computer science (68-XX) 15 Approximations and expansions (41-XX) 14 Algebraic geometry (14-XX) 10 Commutative algebra (13-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functions of a complex variable (30-XX) 5 Differential geometry (53-XX) 4 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Geometry (51-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX)

#### Citations contained in zbMATH

77 Publications have been cited 536 times in 349 Documents Cited by Year
Implicit representation of parametric curves and surfaces. Zbl 0601.65008
Sederberg, T. W.; Anderson, D. C.; Goldman, R. N.
1984
Curvature formulas for implicit curves and surfaces. Zbl 1084.53004
Goldman, Ron
2005
Implicitizing rational curves by the method of moving algebraic curves. Zbl 0872.68193
Sederberg, Tom; Goldman, Ron; Du, Hang
1997
Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves. Zbl 0571.65114
Goldman, R. N.; Sederberg, T. W.; Anderson, D. C.
1984
$$h$$-blossoming: A new approach to algorithms and identities for $$h$$-Bernstein bases and $$h$$-Bézier curves. Zbl 1246.65034
Simeonov, Plamen; Zafiris, Vasilis; Goldman, Ron
2011
Axial moving lines and singularities of rational planar curves. Zbl 1171.65352
Song, Ning; Chen, Falai; Goldman, Ron
2007
$$q$$-blossoming: A new approach to algorithms and identities for $$q$$-Bernstein bases and $$q$$-Bézier curves. Zbl 1242.65036
Simeonov, Plamen; Zafiris, Vasilis; Goldman, Ron
2012
Nonlinear subdivision through nonlinear averaging. Zbl 1172.65347
Schaefer, S.; Vouga, E.; Goldman, R.
2008
$$\mu$$-bases and singularities of rational planar curves. Zbl 1205.14033
Jia, Xiaohong; Goldman, Ron
2009
$$\mu$$-bases for polynomial systems in one variable. Zbl 1205.65043
Song, Ning; Goldman, Ron
2009
Non-uniform subdivision for B-splines of arbitrary degree. Zbl 1205.65054
Schaefer, S.; Goldman, R.
2009
Implicitizing rational surfaces of revolution using $$\mu$$-bases. Zbl 1256.65016
Shi, Xiaoran; Goldman, Ron
2012
Quantum B-splines. Zbl 1275.65011
Simeonov, Plamen; Goldman, Ron
2013
Using Smith normal forms and $$\mu$$-bases to compute all the singularities of rational planar curves. Zbl 1298.65028
Jia, Xiaohong; Goldman, Ron
2012
Using a bihomogeneous resultant to find the singularities of rational space curves. Zbl 1268.14053
Shi, Xiaoran; Jia, Xiaohong; Goldman, Ron
2013
Implicitization, inversion, and intersection of planar rational cubic curves. Zbl 0623.68079
Sederberg, T. W.; Anderson, D. C.; Goldman, R. N.
1985
$$R(4, 4)$$ as a computational framework for 3-dimensional computer graphics. Zbl 1312.65020
Goldman, Ron; Mann, Stephen
2015
The dual basis functions for the generalized Ball basis of odd degree. Zbl 0896.65019
Othman, W. A. M.; Goldman, R. N.
1997
Using $$\mu$$-bases to implicitize rational surfaces with a pair of orthogonal directrices. Zbl 1256.65017
Shi, Xiaoran; Wang, Xuhui; Goldman, Ron
2012
Axial moving planes and singularities of rational space curves. Zbl 1205.14077
Wang, Haohao; Jia, Xiaohong; Goldman, Ron
2009
Division algorithms for Bernstein polynomials. Zbl 1172.33304
Busé, Laurent; Goldman, Ron
2008
A subdivision scheme for Poisson curves and surfaces. Zbl 0948.68185
Morin, G.; Goldman, R.
2000
Modeling 3D geometry in the Clifford algebra $$\mathbb R(4,4)$$. Zbl 1386.15045
Du, Juan; Goldman, Ron; Mann, Stephen
2017
Quantum Bernstein bases and quantum Bézier curves. Zbl 1320.65028
Goldman, Ron; Simeonov, Plamen
2015
Generating functions for the $$q$$-Bernstein bases. Zbl 1304.65264
Goldman, Ron; Simeonov, Plamen; Simsek, Yilmaz
2014
Rethinking quaternions. Theory and computation. Zbl 1243.68003
Goldman, Ron
2010
On the smooth convergence of subdivision and degree elevation for Bézier curves. Zbl 0983.68217
Morin, G.; Goldman, R.
2001
Rectangular corner cutting and Sylvester $$\mathcal{A}$$-resultants. Zbl 1326.68370
Zhang, Ming; Goldman, Ron
2000
The rational Bernstein bases and the multirational blossoms. Zbl 0997.65021
Goldman, Ron
1999
Strong $$\mu$$-bases for rational tensor product surfaces and extraneous factors associated to bad base points and anomalies at infinity. Zbl 1371.68300
Shen, Li-Yong; Goldman, Ron
2017
Two essential properties of $$(q, h)$$-Bernstein-Bézier curves. Zbl 1321.65023
Goldman, Ron; Simeonov, Plamen
2015
A unifying structure for polar forms and for Bernstein Bézier curves. Zbl 1307.65023
Dişibüyük, Çetin; Goldman, Ron
2015
Extending fundamental formulas from classical B-splines to quantum B-splines. Zbl 1309.65018
Budakçı, Gülter; Dişibüyük, Çetin; Goldman, Ron; Oruç, Halil
2015
Set-theoretic generators of rational space curves. Zbl 1184.14052
Jia, Xiaohong; Wang, Haohao; Goldman, Ron
2010
A unified approach to evaluation algorithms for multivariate polynomials. Zbl 0886.65005
Lodha, Suresh K.; Goldman, Ron
1997
Linear subdivision is strictly a polynomial phenomenon. Zbl 0587.68091
Goldman, R. N.; Heath, D. C.
1984
Shape preserving properties of univariate Lototsky-Bernstein operators. Zbl 1376.41010
Xu, Xiao-Wei; Zeng, Xiao-Ming; Goldman, Ron
2017
Convergence and smoothness of nonlinear Lane-Riesenfeld algorithms in the functional setting. Zbl 1217.65035
Dyn, Nira; Goldman, Ron
2011
Sylvester $$A$$-resultants for bivariate polynomials with planar Newton polygons. Zbl 1134.13312
Khetan, Arnit; Ning, Song; Goldman, Ron
2004
The analytic blossom. Zbl 0989.65026
Morin, Géraldine; Goldman, Ron
2001
A multivariate generalization of the de Boor-Fix formula. Zbl 0814.65005
Lodha, Suresh; Goldman, Ron
1994
Applications of the Shorgin identity to Bernstein type operators. Zbl 1390.41005
Goldman, Ron; Xu, Xiao-Wei; Zeng, Xiao-Ming
2018
Generalized quantum splines. Zbl 1418.41007
Goldman, Ron; Simeonov, Plamen
2016
$$\mu$$-bases for complex rational curves. Zbl 1286.65027
Wang, Xuhui; Goldman, Ron
2013
On the smoothness of real-valued functions generated by subdivision schemes using nonlinear binary averaging. Zbl 1205.65081
Goldman, R.; Vouga, E.; Schaefer, S.
2009
Using invariants to extract geometric characteristics of conic sections from rational quadratic parameterizations. Zbl 1061.68167
Goldman, Ron; Wang, Wenping
2004
Hybrid Dixon resultants. Zbl 0960.65056
Zhang, M.; Chionh, E.; Goldman, R. N.
1998
A recursive algorithm for Hermite interpolation over a triangular grid. Zbl 0859.65005
Habib, A. W.; Goldman, R. N.; Lyche, T.
1996
Change of basis algorithms for surfaces in CAGD. Zbl 0875.68922
Lodha, Suresh; Goldman, Ron
1995
Duality between degree elevation and differentiation for B-bases and L- bases. Zbl 0835.65030
Lodha, Suresh; Goldman, Ron
1995
Algorithms for computing strong $$\mu$$-bases for rational tensor product surfaces. Zbl 1366.65033
Shen, Li-Yong; Goldman, Ron
2017
A unified approach to non-polynomial B-spline curves based on a novel variant of the polar form. Zbl 1377.65018
Dişibüyük, Çetin; Goldman, Ron
2016
Computing perspective projections in 3-dimensions using rotors in the homogeneous and conformal models of Clifford algebra. Zbl 1335.65030
Goldman, Ron; Mann, Stephen; Jia, Xiaohong
2014
Generating functions for uniform B-splines. Zbl 1356.65034
Goldman, Ron
2014
Bézier and B-spline curves with knots in the complex plane. Zbl 1215.65030
Tsianos, Konstantinos I.; Goldman, Ron
2011
Minimal generators for the Rees algebra of rational space curves of type $$(1,1,d-2)$$. Zbl 1209.14049
Wang, Haohao; Hoffman, J. William; Jia, Xiaohong; Goldman, Rong
2010
Two blossoming proofs of the Lane-Riesenfeld algorithm. Zbl 1125.65015
Vouga, E.; Goldman, R.
2007
Algebraic geometry and geometric modeling: insight and computation. Zbl 1110.14308
Goldman, Ron
2006
Multisided arrays of control points for multisided Bézier patches. Zbl 1069.65519
Goldman, Ron
2004
Polar forms in geometric modeling and algebraic geometry. Zbl 1039.65013
Goldman, Ron
2003
Blossoming and divided difference. Zbl 0990.65018
Goldman, R.
2001
Efficient implicitization of rational surfaces by moving planes. Zbl 0981.65021
Zhang, Ming; Goldman, Ron; Chionh, Eng Wee
2000
Blossoming with cancellation. Zbl 0997.65020
Goldman, Ron
1999
Algebraic affine rotation surfaces of parabolic type. Zbl 1430.53010
Alcázar, Juan G.; Goldman, Ron
2019
On Lototsky-Bernstein operators and Lototsky-Bernstein bases. Zbl 07038591
Xu, Xiao-Wei; Goldman, Ron
2019
Syzygies for translational surfaces. Zbl 1404.14069
Wang, Haohao; Goldman, Ron
2018
Novel polynomial Bernstein bases and Bézier curves based on a general notion of polynomial blossoming. Zbl 1344.65022
Goldman, Ron; Simeonov, Plamen
2016
Best polynomial degree reduction on $$q$$-lattices with applications to $$q$$-orthogonal polynomials. Zbl 1410.65043
Ait-Haddou, Rachid; Goldman, Ron
2015
Generating functions for B-splines with knots in geometric or affine progression. Zbl 1316.65020
Dişibüyük, Çetin; Budakçı, Gülter; Goldman, Ron; Oruç, Halil
2014
A homogeneous model for three-dimensional computer graphics based on the Clifford algebra for $$\mathbb{R}^{3}$$. Zbl 1290.68124
Goldman, Ron
2011
Toric Bézier patches with depth. Zbl 1039.65014
Krasauskas, Rimvydas; Goldman, Ron
2003
The affine invariant analytic blossom. Zbl 1043.41006
Goldman, Ron; Morin, Géraldine
2002
Trimming analytic functions using right sided Poisson subdivision. Zbl 1206.65127
Morin, Géraldine; Goldman, Ron
2001
Lattices and algorithms for bivariate Bernstein, Lagrange, Newton, and other related polynomial bases based on duality between $$L$$-bases and $$B$$-bases. Zbl 0901.68207
Lodha, Suresh Kumar; Goldman, Ron
1998
Theories of contact specified by connection matrices. Zbl 0875.68888
Habib, Ayman W.; Goldman, Ron N.
1996
A ladder recurrence algorithm for the evaluation of L-patches. Zbl 0849.65010
Lodha, Suresh; Goldman, Ron; Warren, Joe
1996
Analytic approach to intersection of all piecewise parametric rational cubic curves. Zbl 0655.65024
Goldman, R. N.; Sederberg, T. W.
1987
Algebraic affine rotation surfaces of parabolic type. Zbl 1430.53010
Alcázar, Juan G.; Goldman, Ron
2019
On Lototsky-Bernstein operators and Lototsky-Bernstein bases. Zbl 07038591
Xu, Xiao-Wei; Goldman, Ron
2019
Applications of the Shorgin identity to Bernstein type operators. Zbl 1390.41005
Goldman, Ron; Xu, Xiao-Wei; Zeng, Xiao-Ming
2018
Syzygies for translational surfaces. Zbl 1404.14069
Wang, Haohao; Goldman, Ron
2018
Modeling 3D geometry in the Clifford algebra $$\mathbb R(4,4)$$. Zbl 1386.15045
Du, Juan; Goldman, Ron; Mann, Stephen
2017
Strong $$\mu$$-bases for rational tensor product surfaces and extraneous factors associated to bad base points and anomalies at infinity. Zbl 1371.68300
Shen, Li-Yong; Goldman, Ron
2017
Shape preserving properties of univariate Lototsky-Bernstein operators. Zbl 1376.41010
Xu, Xiao-Wei; Zeng, Xiao-Ming; Goldman, Ron
2017
Algorithms for computing strong $$\mu$$-bases for rational tensor product surfaces. Zbl 1366.65033
Shen, Li-Yong; Goldman, Ron
2017
Generalized quantum splines. Zbl 1418.41007
Goldman, Ron; Simeonov, Plamen
2016
A unified approach to non-polynomial B-spline curves based on a novel variant of the polar form. Zbl 1377.65018
Dişibüyük, Çetin; Goldman, Ron
2016
Novel polynomial Bernstein bases and Bézier curves based on a general notion of polynomial blossoming. Zbl 1344.65022
Goldman, Ron; Simeonov, Plamen
2016
$$R(4, 4)$$ as a computational framework for 3-dimensional computer graphics. Zbl 1312.65020
Goldman, Ron; Mann, Stephen
2015
Quantum Bernstein bases and quantum Bézier curves. Zbl 1320.65028
Goldman, Ron; Simeonov, Plamen
2015
Two essential properties of $$(q, h)$$-Bernstein-Bézier curves. Zbl 1321.65023
Goldman, Ron; Simeonov, Plamen
2015
A unifying structure for polar forms and for Bernstein Bézier curves. Zbl 1307.65023
Dişibüyük, Çetin; Goldman, Ron
2015
Extending fundamental formulas from classical B-splines to quantum B-splines. Zbl 1309.65018
Budakçı, Gülter; Dişibüyük, Çetin; Goldman, Ron; Oruç, Halil
2015
Best polynomial degree reduction on $$q$$-lattices with applications to $$q$$-orthogonal polynomials. Zbl 1410.65043
Ait-Haddou, Rachid; Goldman, Ron
2015
Generating functions for the $$q$$-Bernstein bases. Zbl 1304.65264
Goldman, Ron; Simeonov, Plamen; Simsek, Yilmaz
2014
Computing perspective projections in 3-dimensions using rotors in the homogeneous and conformal models of Clifford algebra. Zbl 1335.65030
Goldman, Ron; Mann, Stephen; Jia, Xiaohong
2014
Generating functions for uniform B-splines. Zbl 1356.65034
Goldman, Ron
2014
Generating functions for B-splines with knots in geometric or affine progression. Zbl 1316.65020
Dişibüyük, Çetin; Budakçı, Gülter; Goldman, Ron; Oruç, Halil
2014
Quantum B-splines. Zbl 1275.65011
Simeonov, Plamen; Goldman, Ron
2013
Using a bihomogeneous resultant to find the singularities of rational space curves. Zbl 1268.14053
Shi, Xiaoran; Jia, Xiaohong; Goldman, Ron
2013
$$\mu$$-bases for complex rational curves. Zbl 1286.65027
Wang, Xuhui; Goldman, Ron
2013
$$q$$-blossoming: A new approach to algorithms and identities for $$q$$-Bernstein bases and $$q$$-Bézier curves. Zbl 1242.65036
Simeonov, Plamen; Zafiris, Vasilis; Goldman, Ron
2012
Implicitizing rational surfaces of revolution using $$\mu$$-bases. Zbl 1256.65016
Shi, Xiaoran; Goldman, Ron
2012
Using Smith normal forms and $$\mu$$-bases to compute all the singularities of rational planar curves. Zbl 1298.65028
Jia, Xiaohong; Goldman, Ron
2012
Using $$\mu$$-bases to implicitize rational surfaces with a pair of orthogonal directrices. Zbl 1256.65017
Shi, Xiaoran; Wang, Xuhui; Goldman, Ron
2012
$$h$$-blossoming: A new approach to algorithms and identities for $$h$$-Bernstein bases and $$h$$-Bézier curves. Zbl 1246.65034
Simeonov, Plamen; Zafiris, Vasilis; Goldman, Ron
2011
Convergence and smoothness of nonlinear Lane-Riesenfeld algorithms in the functional setting. Zbl 1217.65035
Dyn, Nira; Goldman, Ron
2011
Bézier and B-spline curves with knots in the complex plane. Zbl 1215.65030
Tsianos, Konstantinos I.; Goldman, Ron
2011
A homogeneous model for three-dimensional computer graphics based on the Clifford algebra for $$\mathbb{R}^{3}$$. Zbl 1290.68124
Goldman, Ron
2011
Rethinking quaternions. Theory and computation. Zbl 1243.68003
Goldman, Ron
2010
Set-theoretic generators of rational space curves. Zbl 1184.14052
Jia, Xiaohong; Wang, Haohao; Goldman, Ron
2010
Minimal generators for the Rees algebra of rational space curves of type $$(1,1,d-2)$$. Zbl 1209.14049
Wang, Haohao; Hoffman, J. William; Jia, Xiaohong; Goldman, Rong
2010
$$\mu$$-bases and singularities of rational planar curves. Zbl 1205.14033
Jia, Xiaohong; Goldman, Ron
2009
$$\mu$$-bases for polynomial systems in one variable. Zbl 1205.65043
Song, Ning; Goldman, Ron
2009
Non-uniform subdivision for B-splines of arbitrary degree. Zbl 1205.65054
Schaefer, S.; Goldman, R.
2009
Axial moving planes and singularities of rational space curves. Zbl 1205.14077
Wang, Haohao; Jia, Xiaohong; Goldman, Ron
2009
On the smoothness of real-valued functions generated by subdivision schemes using nonlinear binary averaging. Zbl 1205.65081
Goldman, R.; Vouga, E.; Schaefer, S.
2009
Nonlinear subdivision through nonlinear averaging. Zbl 1172.65347
Schaefer, S.; Vouga, E.; Goldman, R.
2008
Division algorithms for Bernstein polynomials. Zbl 1172.33304
Busé, Laurent; Goldman, Ron
2008
Axial moving lines and singularities of rational planar curves. Zbl 1171.65352
Song, Ning; Chen, Falai; Goldman, Ron
2007
Two blossoming proofs of the Lane-Riesenfeld algorithm. Zbl 1125.65015
Vouga, E.; Goldman, R.
2007
Algebraic geometry and geometric modeling: insight and computation. Zbl 1110.14308
Goldman, Ron
2006
Curvature formulas for implicit curves and surfaces. Zbl 1084.53004
Goldman, Ron
2005
Sylvester $$A$$-resultants for bivariate polynomials with planar Newton polygons. Zbl 1134.13312
Khetan, Arnit; Ning, Song; Goldman, Ron
2004
Using invariants to extract geometric characteristics of conic sections from rational quadratic parameterizations. Zbl 1061.68167
Goldman, Ron; Wang, Wenping
2004
Multisided arrays of control points for multisided Bézier patches. Zbl 1069.65519
Goldman, Ron
2004
Polar forms in geometric modeling and algebraic geometry. Zbl 1039.65013
Goldman, Ron
2003
Toric Bézier patches with depth. Zbl 1039.65014
Krasauskas, Rimvydas; Goldman, Ron
2003
The affine invariant analytic blossom. Zbl 1043.41006
Goldman, Ron; Morin, Géraldine
2002
On the smooth convergence of subdivision and degree elevation for Bézier curves. Zbl 0983.68217
Morin, G.; Goldman, R.
2001
The analytic blossom. Zbl 0989.65026
Morin, Géraldine; Goldman, Ron
2001
Blossoming and divided difference. Zbl 0990.65018
Goldman, R.
2001
Trimming analytic functions using right sided Poisson subdivision. Zbl 1206.65127
Morin, Géraldine; Goldman, Ron
2001
A subdivision scheme for Poisson curves and surfaces. Zbl 0948.68185
Morin, G.; Goldman, R.
2000
Rectangular corner cutting and Sylvester $$\mathcal{A}$$-resultants. Zbl 1326.68370
Zhang, Ming; Goldman, Ron
2000
Efficient implicitization of rational surfaces by moving planes. Zbl 0981.65021
Zhang, Ming; Goldman, Ron; Chionh, Eng Wee
2000
The rational Bernstein bases and the multirational blossoms. Zbl 0997.65021
Goldman, Ron
1999
Blossoming with cancellation. Zbl 0997.65020
Goldman, Ron
1999
Hybrid Dixon resultants. Zbl 0960.65056
Zhang, M.; Chionh, E.; Goldman, R. N.
1998
Lattices and algorithms for bivariate Bernstein, Lagrange, Newton, and other related polynomial bases based on duality between $$L$$-bases and $$B$$-bases. Zbl 0901.68207
Lodha, Suresh Kumar; Goldman, Ron
1998
Implicitizing rational curves by the method of moving algebraic curves. Zbl 0872.68193
Sederberg, Tom; Goldman, Ron; Du, Hang
1997
The dual basis functions for the generalized Ball basis of odd degree. Zbl 0896.65019
Othman, W. A. M.; Goldman, R. N.
1997
A unified approach to evaluation algorithms for multivariate polynomials. Zbl 0886.65005
Lodha, Suresh K.; Goldman, Ron
1997
A recursive algorithm for Hermite interpolation over a triangular grid. Zbl 0859.65005
Habib, A. W.; Goldman, R. N.; Lyche, T.
1996
Theories of contact specified by connection matrices. Zbl 0875.68888
Habib, Ayman W.; Goldman, Ron N.
1996
A ladder recurrence algorithm for the evaluation of L-patches. Zbl 0849.65010
Lodha, Suresh; Goldman, Ron; Warren, Joe
1996
Change of basis algorithms for surfaces in CAGD. Zbl 0875.68922
Lodha, Suresh; Goldman, Ron
1995
Duality between degree elevation and differentiation for B-bases and L- bases. Zbl 0835.65030
Lodha, Suresh; Goldman, Ron
1995
A multivariate generalization of the de Boor-Fix formula. Zbl 0814.65005
Lodha, Suresh; Goldman, Ron
1994
Analytic approach to intersection of all piecewise parametric rational cubic curves. Zbl 0655.65024
Goldman, R. N.; Sederberg, T. W.
1987
Implicitization, inversion, and intersection of planar rational cubic curves. Zbl 0623.68079
Sederberg, T. W.; Anderson, D. C.; Goldman, R. N.
1985
Implicit representation of parametric curves and surfaces. Zbl 0601.65008
Sederberg, T. W.; Anderson, D. C.; Goldman, R. N.
1984
Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves. Zbl 0571.65114
Goldman, R. N.; Sederberg, T. W.; Anderson, D. C.
1984
Linear subdivision is strictly a polynomial phenomenon. Zbl 0587.68091
Goldman, R. N.; Heath, D. C.
1984
all top 5

#### Cited by 459 Authors

 51 Goldman, Ron N. 16 Sederberg, Thomas W. 10 Chen, Falai 9 Simeonov, Plamen C. 8 Cox, David A. 8 D’Andrea, Carlos 8 Jia, Xiaohong 8 Pérez-Díaz, Sonia 8 Wang, Xuhui 7 Busé, Laurent 7 Dişibüyük, Çetin 7 Goldman, Ronald N. 7 Wang, Haohao 6 Chionh, Eng-Wee 5 Düldül, Mustafa 5 Farouki, Rida T. 5 Kustin, Andrew R. 5 Mann, Stephen 5 Marco García, Ana 5 Shen, Liyong 5 Shi, Xiaoran 5 Tan, Jieqing 5 Zeng, Xiaoming 5 Zhang, Li 4 Abdel-All, Nassar Hassan 4 Ait-Haddou, Rachid 4 Alcazar, Juan Gerardo 4 Aléssio, Osmar 4 Badr, Sayed Abdel-Naeim 4 Cortadellas Benítez, Teresa 4 Manocha, Dinesh 4 Martínez, José-Javier 4 Sendra, Juan Rafael 4 Wu, Hongyi 3 Breuils, Stéphane 3 Canny, John F. 3 Chtcherba, Arthur D. 3 Dickenstein, Alicia M. 3 Duchamp, Thomas E. 3 Düldül, Bahar Uyar 3 Dyn, Nira 3 Elkadi, Mohamed 3 Emiris, Ioannis Z. 3 Gao, Xiaoshan 3 Kapur, Deepak 3 Lai, Yisheng 3 Li, Ji 3 Lodha, Suresh Kumar 3 Nozick, Vincent 3 Patterson, Richard R. 3 Peña, Juan Manuel 3 Peters, Thomas J. 3 Polini, Claudia 3 Recio, Tomas 3 Sabin, Malcolm A. 3 Sánchez-Reyes, Javier 3 Simsek, Yilmaz 3 Trân, Quôc-Nam 3 Ulrich, Bernd 3 Villarino, Carlos 3 Winkler, Joab R. 3 Xie, Gang 3 Xu, Xiaowei 3 Yu, Thomas Pok-Yin 3 Zafiris, Vasilis G. 2 Al-Natour, Mohammad 2 Bazilevs, Yuri 2 Berry, Thomas G. 2 Blasco, Ángel 2 Botbol, Nicolás 2 Brito-Loeza, Carlos 2 Budakçı, Gülter 2 Casciola, Giulio 2 Cashman, Thomas J. 2 Chen, Ke 2 Chou, Shangching 2 Chu, Ying 2 Cripps, Robert J. 2 Deng, Jiansong 2 Dodgson, Neil A. 2 Du, Juan 2 El Khoury, Sabine 2 Feng, Yuyu 2 Fuchs, Laurent 2 Gutierrez, Jaime 2 Han, Liwen 2 Hermoso Ortiz, Carlos 2 Hitzer, Eckhard 2 Hoffman, Jerome William 2 Hoschek, Josef 2 Iarrobino, Anthony A. 2 Joe, Barry 2 Jordan, Kirk E. 2 Jüttler, Bert 2 Khetan, Amit 2 Lamnii, M. 2 Liu, Zhi 2 Lu, Wei 2 Luo, Zhongxuan 2 Ma, Weiyin ...and 359 more Authors
all top 5

#### Cited in 96 Serials

 114 Computer Aided Geometric Design 39 Journal of Symbolic Computation 22 Journal of Computational and Applied Mathematics 14 Applied Mathematics and Computation 12 Advances in Applied Clifford Algebras 7 Journal of Algebra 7 Numerical Algorithms 6 Computer Methods in Applied Mechanics and Engineering 6 BIT 6 Linear Algebra and its Applications 5 Journal of Approximation Theory 4 Mathematics of Computation 4 Foundations of Computational Mathematics 3 International Journal of Computer Mathematics 3 Applicable Algebra in Engineering, Communication and Computing 3 Applied Mathematics. Series B (English Edition) 2 Computers & Mathematics with Applications 2 Calcolo 2 Journal of Pure and Applied Algebra 2 Results in Mathematics 2 Applied Numerical Mathematics 2 Constructive Approximation 2 The Visual Computer 2 Computational Mechanics 2 Physics of Fluids 2 Mathematical Problems in Engineering 2 Journal of Systems Science and Complexity 2 Mathematics 2 Open Mathematics 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Periodica Mathematica Hungarica 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Computing 1 Demonstratio Mathematica 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Geometry 1 Mathematics and Computers in Simulation 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quaestiones Mathematicae 1 Theoretical Computer Science 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 Engineering with Computers 1 International Journal of Computational Geometry & Applications 1 Computational Geometry 1 Journal of Knot Theory and its Ramifications 1 SIAM Journal on Scientific Computing 1 Algebra Colloquium 1 Fractals 1 Advances in Computational Mathematics 1 International Journal of Shape Modeling 1 Abstract and Applied Analysis 1 Journal of Shanghai University 1 PAA. Pattern Analysis and Applications 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. A. Solids 1 Regular and Chaotic Dynamics 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Iranian Journal of Science and Technology. Transaction A: Science 1 JP Journal of Geometry and Topology 1 Bulletin of the Brazilian Mathematical Society. New Series 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Advances in Difference Equations 1 Journal of Shanghai Jiaotong University (Science) 1 Complex Variables and Elliptic Equations 1 Mathematics in Computer Science 1 SIAM Journal on Imaging Sciences 1 Mathematical Geosciences 1 Involve 1 Science China. Mathematics 1 Applied General Topology 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Symmetry 1 Communications in Mathematics and Statistics 1 Journal of Function Spaces 1 SIAM Journal on Applied Algebra and Geometry 1 Journal of Nonlinear and Variational Analysis
all top 5

#### Cited in 38 Fields

 220 Numerical analysis (65-XX) 81 Computer science (68-XX) 61 Algebraic geometry (14-XX) 55 Approximations and expansions (41-XX) 46 Commutative algebra (13-XX) 36 Differential geometry (53-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 17 Geometry (51-XX) 11 Number theory (11-XX) 9 Special functions (33-XX) 8 Field theory and polynomials (12-XX) 8 Functions of a complex variable (30-XX) 8 Mechanics of deformable solids (74-XX) 7 Real functions (26-XX) 6 Fluid mechanics (76-XX) 4 Partial differential equations (35-XX) 3 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)