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Author ID: goldman.ronald-n Recent zbMATH articles by "Goldman, Ronald N."
Published as: Goldman, Ron; Goldman, Ronald N.; Goldman, R. N.; Goldman, Ronald; Goldman, R.; Goldman, Ron N.
Homepage: https://rongoldman.rice.edu/
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

127 Publications have been cited 1,107 times in 671 Documents Cited by Year
Curvature formulas for implicit curves and surfaces. Zbl 1084.53004
Goldman, Ron
84
2005
Implicit representation of parametric curves and surfaces. Zbl 0601.65008
Sederberg, T. W.; Anderson, D. C.; Goldman, R. N.
64
1984
On the validity of implicitization by moving quadrics for rational surfaces with no base points. Zbl 0959.68124
Cox, David; Goldman, Ronald; Zhang, Ming
43
2000
Implicitizing rational curves by the method of moving algebraic curves. Zbl 0872.68193
Sederberg, Tom; Goldman, Ron; Du, Hang
34
1997
Polya’s urn model and computer aided geometric design. Zbl 0602.68103
Goldman, Ronald N.
32
1985
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.
31
1984
\(q\)-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
26
2012
Functional composition algorithms via blossoming. Zbl 0771.68100
Derose, Tony D.; Goldman, Ronald N.; Hagen, Hans; Mann, Stephen
23
1993
Nonlinear subdivision through nonlinear averaging. Zbl 1172.65347
Schaefer, S.; Vouga, E.; Goldman, R.
21
2008
\(h\)-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
20
2011
Shape parameter deletion for Pólya curves. Zbl 0749.41009
Barry, Phillip J.; Goldman, Ronald N.
19
1991
\(\mu \)-bases for polynomial systems in one variable. Zbl 1205.65043
Song, Ning; Goldman, Ron
18
2009
Axial moving lines and singularities of rational planar curves. Zbl 1171.65352
Song, Ning; Chen, Falai; Goldman, Ron
18
2007
Knot insertion and deletion algorithms for B-spline curves and surfaces. Zbl 0772.00011
17
1993
Computing quadric surface intersections based on an analysis of plane cubic curves. Zbl 1055.68133
Wang, Wenping; Joe, Barry; Goldman, Ronald
17
2002
Non-uniform subdivision for B-splines of arbitrary degree. Zbl 1205.65054
Schaefer, S.; Goldman, R.
16
2009
\(\mu \)-bases and singularities of rational planar curves. Zbl 1205.14033
Jia, Xiaohong; Goldman, Ron
16
2009
Degree, multiplicity, and inversion formulas for rational surfaces using \(u\)-resultants. Zbl 0756.65011
Chionh, Eng-Wee; Goldman, Ronald N.
16
1992
Implicitizing rational surfaces of revolution using \(\mu \)-bases. Zbl 1256.65016
Shi, Xiaoran; Goldman, Ron
15
2012
An integrated introduction to computer graphics and geometric modeling. Zbl 1175.65001
Goldman, Ronald
15
2009
Fast computation of the Bézout and Dixon resultant matrices. Zbl 0996.65046
Chionh, Eng-Wee; Zhang, Ming; Goldman, Ronald N.
14
2002
\(R(4, 4)\) as a computational framework for 3-dimensional computer graphics. Zbl 1312.65020
Goldman, Ron; Mann, Stephen
14
2015
Enhancing Levin’s method for computing quadric-surface intersections. Zbl 1069.65570
Wang, Wenping; Goldman, Ronald; Tu, Changhe
13
2003
Generating functions for the \(q\)-Bernstein bases. Zbl 1304.65264
Goldman, Ron; Simeonov, Plamen; Simsek, Yilmaz
13
2014
Quantum B-splines. Zbl 1275.65011
Simeonov, Plamen; Goldman, Ron
13
2013
Conversion from Bézier rectangles to Bézier triangles. Zbl 0655.65023
Goldman, Ronald N.; Filip, Daniel J.
12
1987
Rethinking quaternions. Theory and computation. Zbl 1243.68003
Goldman, Ron
12
2010
Using Smith normal forms and \(\mu\)-bases to compute all the singularities of rational planar curves. Zbl 1298.65028
Jia, Xiaohong; Goldman, Ron
12
2012
Dual polynomial bases. Zbl 0824.41007
Goldman, Ronald N.
12
1994
The dual basis functions for the generalized Ball basis of odd degree. Zbl 0896.65019
Othman, W. A. M.; Goldman, R. N.
11
1997
Implicitization, inversion, and intersection of planar rational cubic curves. Zbl 0623.68079
Sederberg, T. W.; Anderson, D. C.; Goldman, R. N.
11
1985
On a relationship between the moving line and moving conic coefficient matrices. Zbl 0997.65019
Zhang, Ming; Chionh, Eng-Wee; Goldman, Ronald N.
11
1999
Using a bihomogeneous resultant to find the singularities of rational space curves. Zbl 1268.14053
Shi, Xiaoran; Jia, Xiaohong; Goldman, Ron
11
2013
The Sylvester resultant matrix for Bernstein polynomials. Zbl 1043.41004
Winkler, Joab R.; Goldman, Ronald N.
10
2003
Blossoming and knot insertion algorithms for B-spline curves. Zbl 0713.65006
Goldman, Ronald N.
10
1990
Identities for piecewise polynomial spaces determined by connection matrices. Zbl 0769.41007
Barry, Phillip J.; Dyn, Nira; Goldman, Ronald N.; Micchelli, Charles A.
10
1991
Quantum Bernstein bases and quantum Bézier curves. Zbl 1320.65028
Goldman, Ron; Simeonov, Plamen
10
2015
The rational Bernstein bases and the multirational blossoms. Zbl 0997.65021
Goldman, Ron
10
1999
Algebraic aspects of geometric continuity. Zbl 0679.65006
Goldman, R. N.; Micchelli, C. A.
9
1989
Recursive polynomial curve schemes and computer-aided geometric design. Zbl 0682.41016
Barry, Philip J.; Goldman, Ronald N.
9
1990
Algorithms for progressive curves: Extending B-spline and blossoming techniques to the monomial, power, and Newton dual bases. Zbl 0797.41011
Barry, Phillip J.; Goldman, Ronald N.
9
1993
Urn models and B-splines. Zbl 0645.60012
Goldman, Ronald N.
8
1988
Using \(\mu \)-bases to implicitize rational surfaces with a pair of orthogonal directrices. Zbl 1256.65017
Shi, Xiaoran; Wang, Xuhui; Goldman, Ron
8
2012
Axial moving planes and singularities of rational space curves. Zbl 1205.14077
Wang, Haohao; Jia, Xiaohong; Goldman, Ron
8
2009
A subdivision scheme for Poisson curves and surfaces. Zbl 0948.68185
Morin, G.; Goldman, R.
8
2000
Division algorithms for Bernstein polynomials. Zbl 1172.33304
Busé, Laurent; Goldman, Ron
8
2008
Markov chains and computer-aided geometric design. I. Problems and constraints. Zbl 0592.68081
Goldman, Ronald N.
8
1984
Shape preserving properties of univariate Lototsky-Bernstein operators. Zbl 1376.41010
Xu, Xiao-Wei; Zeng, Xiao-Ming; Goldman, Ron
8
2017
Modeling 3D geometry in the Clifford algebra \(\mathbb R(4,4)\). Zbl 1386.15045
Du, Juan; Goldman, Ron; Mann, Stephen
8
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
8
2017
Two essential properties of \((q, h)\)-Bernstein-Bézier curves. Zbl 1321.65023
Goldman, Ron; Simeonov, Plamen
8
2015
Rectangular corner cutting and Sylvester \(\mathcal{A}\)-resultants. Zbl 1326.68370
Zhang, Ming; Goldman, Ron
7
2000
On beta-continuous functions and their application to the construction of geometrically continuous curves and surfaces. Zbl 0692.41018
Goldman, R. N.; Barsky, B. A.
7
1989
On the smooth convergence of subdivision and degree elevation for Bézier curves. Zbl 0983.68217
Morin, G.; Goldman, R.
7
2001
Using multivariate resultants to find the intersection of three quadric surfaces. Zbl 0736.68074
Chionh, Eng-Wee; Goldman, Ronald N.; Miller, James R.
7
1991
Convergence and smoothness of nonlinear Lane-Riesenfeld algorithms in the functional setting. Zbl 1217.65035
Dyn, Nira; Goldman, Ron
6
2011
Knot insertion algorithms for piecewise polynomial spaces determined by connection matrices. Zbl 0824.65005
Barry, Phillip J.; Goldman, Ronald N.; Micchelli, Charles A.
6
1993
Rational quadratic parameterizations of quadrics. Zbl 0887.68109
Wang, Wenping; Joe, Barry; Goldman, Ronald
6
1997
What is the natural generalization of a Bézier curve? Zbl 0714.41033
Barry, P. J.; Goldman, R. N.
6
1989
Knot insertion algorithms. Zbl 0797.41012
Barry, Phillip J.; Goldman, Ronald N.
6
1993
A recursive proof of a B-spline identity for degree elevation. Zbl 0644.41006
Barry, Philip J.; Goldman, Ronald N.
5
1988
Hybrid Dixon resultants. Zbl 0960.65056
Zhang, M.; Chionh, E.; Goldman, R. N.
5
1998
Set-theoretic generators of rational space curves. Zbl 1184.14052
Jia, Xiaohong; Wang, Haohao; Goldman, Ron
5
2010
A unified approach to evaluation algorithms for multivariate polynomials. Zbl 0886.65005
Lodha, Suresh K.; Goldman, Ron
5
1997
The analytic blossom. Zbl 0989.65026
Morin, Géraldine; Goldman, Ron
5
2001
The method of resolvents: A technique for the implicitization, inversion, and intersection of non-planar, parametric, rational cubic curves. Zbl 0583.65009
Goldman, Ronald N.
5
1985
Linear subdivision is strictly a polynomial phenomenon. Zbl 0587.68091
Goldman, R. N.; Heath, D. C.
5
1984
Factored knot insertion. Zbl 0795.41006
Barry, Phillip J.; Goldman, Ronald N.
5
1993
Extending fundamental formulas from classical B-splines to quantum B-splines. Zbl 1309.65018
Budakçı, Gülter; Dişibüyük, Çetin; Goldman, Ron; Oruç, Halil
5
2015
A unifying structure for polar forms and for Bernstein Bézier curves. Zbl 1307.65023
Dişibüyük, Çetin; Goldman, Ron
5
2015
Generalized quantum splines. Zbl 1418.41007
Goldman, Ron; Simeonov, Plamen
5
2016
De Casteljau-type subdivision is peculiar to Bézier curves. Zbl 0658.65012
Barry, P. J.; Goldman, R. N.
4
1988
On the smoothness of real-valued functions generated by subdivision schemes using nonlinear binary averaging. Zbl 1205.65081
Goldman, R.; Vouga, E.; Schaefer, S.
4
2009
Bézier and B-spline curves with knots in the complex plane. Zbl 1215.65030
Tsianos, Konstantinos I.; Goldman, Ron
4
2011
Applications of the Shorgin identity to Bernstein type operators. Zbl 1390.41005
Goldman, Ron; Xu, Xiao-Wei; Zeng, Xiao-Ming
4
2018
A multivariate generalization of the de Boor-Fix formula. Zbl 0814.65005
Lodha, Suresh; Goldman, Ron
4
1994
Markov chains and computer aided geometric design. II. Examples and subdivision matrices. Zbl 0614.68080
Goldman, Ronald N.
4
1985
Using invariants to extract geometric characteristics of conic sections from rational quadratic parameterizations. Zbl 1061.68167
Goldman, Ron; Wang, Wenping
4
2004
Sylvester \(A\)-resultants for bivariate polynomials with planar Newton polygons. Zbl 1134.13312
Khetan, Arnit; Ning, Song; Goldman, Ron
4
2004
Interpolation and approximation of curves and surfaces using Pólya polynomials. Zbl 0829.41004
Barry, Phillip J.; Goldman, Ronald N.
4
1991
Algorithms for computing strong \(\mu\)-bases for rational tensor product surfaces. Zbl 1366.65033
Shen, Li-Yong; Goldman, Ron
4
2017
Best polynomial degree reduction on \(q\)-lattices with applications to \(q\)-orthogonal polynomials. Zbl 1410.65043
Ait-Haddou, Rachid; Goldman, Ron
4
2015
\(\mu\)-bases for complex rational curves. Zbl 1286.65027
Wang, Xuhui; Goldman, Ron
4
2013
Urn models, approximations, and splines. Zbl 0656.41006
Goldman, Ronald N.
3
1988
Recursive proof of Boehm’s knot insertion technique. Zbl 0656.65008
Barry, Phillip J.; Goldman, Ronald N.
3
1988
Two blossoming proofs of the Lane-Riesenfeld algorithm. Zbl 1125.65015
Vouga, E.; Goldman, R.
3
2007
Multisided arrays of control points for multisided Bézier patches. Zbl 1069.65519
Goldman, Ron
3
2004
Polar forms in geometric modeling and algebraic geometry. Zbl 1039.65013
Goldman, Ron
3
2003
Toric Bézier patches with depth. Zbl 1039.65014
Krasauskas, Rimvydas; Goldman, Ron
3
2003
The holonomy ring on the leaves of foliated manifolds. Zbl 0356.57016
Goldman, Ronald
3
1976
B-splines, Pólya curves, and duality. Zbl 0725.41011
Barry, Phillip J.; Goldman, Ronald N.; DeRose, Tony D.
3
1991
A recursive algorithm for Hermite interpolation over a triangular grid. Zbl 0859.65005
Habib, A. W.; Goldman, R. N.; Lyche, T.
3
1996
Change of basis algorithms for surfaces in CAGD. Zbl 0875.68922
Lodha, Suresh; Goldman, Ron
3
1995
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
3
2014
Blossoming with cancellation. Zbl 0997.65020
Goldman, Ron
3
1999
On Lototsky-Bernstein operators and Lototsky-Bernstein bases. Zbl 1505.41018
Xu, Xiao-Wei; Goldman, Ron
3
2019
Birational 2D free-form deformation of degree \(1\times n\). Zbl 1418.65035
Sederberg, Thomas W.; Goldman, Ronald N.; Wang, Xuhui
3
2016
Algebraic geometry and geometric modeling: insight and computation. Zbl 1110.14308
Goldman, Ron
2
2006
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, Ron
2
2010
Syzygies for translational surfaces. Zbl 1404.14069
Wang, Haohao; Goldman, Ron
2
2018
Ruled surfaces of revolution with moving axes and angles. Zbl 1505.65102
Wang, Haohao; Goldman, Ron
1
2021
Recognizing algebraic affine rotation surfaces. Zbl 1505.65043
Alcázar, Juan G.; Goldman, Ron
1
2020
Limits of sums for binomial and Eulerian numbers and their associated distributions. Zbl 1477.05014
Li, Meng; Goldman, Ron
1
2020
On Lototsky-Bernstein operators and Lototsky-Bernstein bases. Zbl 1505.41018
Xu, Xiao-Wei; Goldman, Ron
3
2019
Algebraic affine rotation surfaces of parabolic type. Zbl 1430.53010
Alcázar, Juan G.; Goldman, Ron
2
2019
High order smoothness of non-linear Lane-Riesenfeld algorithms in the functional setting. Zbl 1505.65053
Dyn, Nira; Goldman, Ron; Levin, David
1
2019
A polynomial blossom for the Askey-Wilson operator. Zbl 1428.33036
Simeonov, Plamen; Goldman, Ron
1
2019
\(q\)-blossoming for analytic functions. Zbl 1425.30002
Goldman, Ron; Simeonov, Plamen
1
2019
Applications of the Shorgin identity to Bernstein type operators. Zbl 1390.41005
Goldman, Ron; Xu, Xiao-Wei; Zeng, Xiao-Ming
4
2018
Syzygies for translational surfaces. Zbl 1404.14069
Wang, Haohao; Goldman, Ron
2
2018
Implicitizing ruled translational surfaces. Zbl 1381.65017
Wang, Haohao; Goldman, Ron
2
2018
Shape preserving properties of univariate Lototsky-Bernstein operators. Zbl 1376.41010
Xu, Xiao-Wei; Zeng, Xiao-Ming; Goldman, Ron
8
2017
Modeling 3D geometry in the Clifford algebra \(\mathbb R(4,4)\). Zbl 1386.15045
Du, Juan; Goldman, Ron; Mann, Stephen
8
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
8
2017
Algorithms for computing strong \(\mu\)-bases for rational tensor product surfaces. Zbl 1366.65033
Shen, Li-Yong; Goldman, Ron
4
2017
Generalized quantum splines. Zbl 1418.41007
Goldman, Ron; Simeonov, Plamen
5
2016
Birational 2D free-form deformation of degree \(1\times n\). Zbl 1418.65035
Sederberg, Thomas W.; Goldman, Ronald N.; Wang, Xuhui
3
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
2
2016
Novel polynomial Bernstein bases and Bézier curves based on a general notion of polynomial blossoming. Zbl 1344.65022
Goldman, Ron; Simeonov, Plamen
2
2016
\(R(4, 4)\) as a computational framework for 3-dimensional computer graphics. Zbl 1312.65020
Goldman, Ron; Mann, Stephen
14
2015
Quantum Bernstein bases and quantum Bézier curves. Zbl 1320.65028
Goldman, Ron; Simeonov, Plamen
10
2015
Two essential properties of \((q, h)\)-Bernstein-Bézier curves. Zbl 1321.65023
Goldman, Ron; Simeonov, Plamen
8
2015
Extending fundamental formulas from classical B-splines to quantum B-splines. Zbl 1309.65018
Budakçı, Gülter; Dişibüyük, Çetin; Goldman, Ron; Oruç, Halil
5
2015
A unifying structure for polar forms and for Bernstein Bézier curves. Zbl 1307.65023
Dişibüyük, Çetin; Goldman, Ron
5
2015
Best polynomial degree reduction on \(q\)-lattices with applications to \(q\)-orthogonal polynomials. Zbl 1410.65043
Ait-Haddou, Rachid; Goldman, Ron
4
2015
Generating functions for the \(q\)-Bernstein bases. Zbl 1304.65264
Goldman, Ron; Simeonov, Plamen; Simsek, Yilmaz
13
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
3
2014
Generating functions for B-splines with knots in geometric or affine progression. Zbl 1316.65020
Dişibüyük, Çetin; Budakçı, Gülter; Goldman, Ron; Oruç, Halil
2
2014
Generating functions for uniform B-splines. Zbl 1356.65034
Goldman, Ron
2
2014
Quantum B-splines. Zbl 1275.65011
Simeonov, Plamen; Goldman, Ron
13
2013
Using a bihomogeneous resultant to find the singularities of rational space curves. Zbl 1268.14053
Shi, Xiaoran; Jia, Xiaohong; Goldman, Ron
11
2013
\(\mu\)-bases for complex rational curves. Zbl 1286.65027
Wang, Xuhui; Goldman, Ron
4
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
26
2012
Implicitizing rational surfaces of revolution using \(\mu \)-bases. Zbl 1256.65016
Shi, Xiaoran; Goldman, Ron
15
2012
Using Smith normal forms and \(\mu\)-bases to compute all the singularities of rational planar curves. Zbl 1298.65028
Jia, Xiaohong; Goldman, Ron
12
2012
Using \(\mu \)-bases to implicitize rational surfaces with a pair of orthogonal directrices. Zbl 1256.65017
Shi, Xiaoran; Wang, Xuhui; Goldman, Ron
8
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
20
2011
Convergence and smoothness of nonlinear Lane-Riesenfeld algorithms in the functional setting. Zbl 1217.65035
Dyn, Nira; Goldman, Ron
6
2011
Bézier and B-spline curves with knots in the complex plane. Zbl 1215.65030
Tsianos, Konstantinos I.; Goldman, Ron
4
2011
A homogeneous model for three-dimensional computer graphics based on the Clifford algebra for \(\mathbb{R}^{3}\). Zbl 1290.68124
Goldman, Ron
1
2011
Rethinking quaternions. Theory and computation. Zbl 1243.68003
Goldman, Ron
12
2010
Set-theoretic generators of rational space curves. Zbl 1184.14052
Jia, Xiaohong; Wang, Haohao; Goldman, Ron
5
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, Ron
2
2010
\(\mu \)-bases for polynomial systems in one variable. Zbl 1205.65043
Song, Ning; Goldman, Ron
18
2009
Non-uniform subdivision for B-splines of arbitrary degree. Zbl 1205.65054
Schaefer, S.; Goldman, R.
16
2009
\(\mu \)-bases and singularities of rational planar curves. Zbl 1205.14033
Jia, Xiaohong; Goldman, Ron
16
2009
An integrated introduction to computer graphics and geometric modeling. Zbl 1175.65001
Goldman, Ronald
15
2009
Axial moving planes and singularities of rational space curves. Zbl 1205.14077
Wang, Haohao; Jia, Xiaohong; Goldman, Ron
8
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.
4
2009
Nonlinear subdivision through nonlinear averaging. Zbl 1172.65347
Schaefer, S.; Vouga, E.; Goldman, R.
21
2008
Division algorithms for Bernstein polynomials. Zbl 1172.33304
Busé, Laurent; Goldman, Ron
8
2008
Axial moving lines and singularities of rational planar curves. Zbl 1171.65352
Song, Ning; Chen, Falai; Goldman, Ron
18
2007
Two blossoming proofs of the Lane-Riesenfeld algorithm. Zbl 1125.65015
Vouga, E.; Goldman, R.
3
2007
Algebraic geometry and geometric modeling: insight and computation. Zbl 1110.14308
Goldman, Ron
2
2006
Bézier subdivision for inverse molecular kinematics. Zbl 1108.92021
Zhang, Ming; Wang, Liqun; Goldman, Ronald
1
2006
Curvature formulas for implicit curves and surfaces. Zbl 1084.53004
Goldman, Ron
84
2005
Using invariants to extract geometric characteristics of conic sections from rational quadratic parameterizations. Zbl 1061.68167
Goldman, Ron; Wang, Wenping
4
2004
Sylvester \(A\)-resultants for bivariate polynomials with planar Newton polygons. Zbl 1134.13312
Khetan, Arnit; Ning, Song; Goldman, Ron
4
2004
Multisided arrays of control points for multisided Bézier patches. Zbl 1069.65519
Goldman, Ron
3
2004
Enhancing Levin’s method for computing quadric-surface intersections. Zbl 1069.65570
Wang, Wenping; Goldman, Ronald; Tu, Changhe
13
2003
The Sylvester resultant matrix for Bernstein polynomials. Zbl 1043.41004
Winkler, Joab R.; Goldman, Ronald N.
10
2003
Polar forms in geometric modeling and algebraic geometry. Zbl 1039.65013
Goldman, Ron
3
2003
Toric Bézier patches with depth. Zbl 1039.65014
Krasauskas, Rimvydas; Goldman, Ron
3
2003
Computing quadric surface intersections based on an analysis of plane cubic curves. Zbl 1055.68133
Wang, Wenping; Joe, Barry; Goldman, Ronald
17
2002
Fast computation of the Bézout and Dixon resultant matrices. Zbl 0996.65046
Chionh, Eng-Wee; Zhang, Ming; Goldman, Ronald N.
14
2002
The affine invariant analytic blossom. Zbl 1043.41006
Goldman, Ron; Morin, Géraldine
2
2002
On the smooth convergence of subdivision and degree elevation for Bézier curves. Zbl 0983.68217
Morin, G.; Goldman, R.
7
2001
The analytic blossom. Zbl 0989.65026
Morin, Géraldine; Goldman, Ron
5
2001
Blossoming and divided difference. Zbl 0990.65018
Goldman, R.
2
2001
Trimming analytic functions using right sided Poisson subdivision. Zbl 1206.65127
Morin, Géraldine; Goldman, Ron
1
2001
On the validity of implicitization by moving quadrics for rational surfaces with no base points. Zbl 0959.68124
Cox, David; Goldman, Ronald; Zhang, Ming
43
2000
A subdivision scheme for Poisson curves and surfaces. Zbl 0948.68185
Morin, G.; Goldman, R.
8
2000
Rectangular corner cutting and Sylvester \(\mathcal{A}\)-resultants. Zbl 1326.68370
Zhang, Ming; Goldman, Ron
7
2000
Efficient implicitization of rational surfaces by moving planes. Zbl 0981.65021
Zhang, Ming; Goldman, Ron; Chionh, Eng Wee
2
2000
On a relationship between the moving line and moving conic coefficient matrices. Zbl 0997.65019
Zhang, Ming; Chionh, Eng-Wee; Goldman, Ronald N.
11
1999
The rational Bernstein bases and the multirational blossoms. Zbl 0997.65021
Goldman, Ron
10
1999
Blossoming with cancellation. Zbl 0997.65020
Goldman, Ron
3
1999
Hybrid Dixon resultants. Zbl 0960.65056
Zhang, M.; Chionh, E.; Goldman, R. N.
5
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
1
1998
Implicitizing rational curves by the method of moving algebraic curves. Zbl 0872.68193
Sederberg, Tom; Goldman, Ron; Du, Hang
34
1997
The dual basis functions for the generalized Ball basis of odd degree. Zbl 0896.65019
Othman, W. A. M.; Goldman, R. N.
11
1997
Rational quadratic parameterizations of quadrics. Zbl 0887.68109
Wang, Wenping; Joe, Barry; Goldman, Ronald
6
1997
A unified approach to evaluation algorithms for multivariate polynomials. Zbl 0886.65005
Lodha, Suresh K.; Goldman, Ron
5
1997
A recursive algorithm for Hermite interpolation over a triangular grid. Zbl 0859.65005
Habib, A. W.; Goldman, R. N.; Lyche, T.
3
1996
A ladder recurrence algorithm for the evaluation of L-patches. Zbl 0849.65010
Lodha, Suresh; Goldman, Ron; Warren, Joe
1
1996
Theories of contact specified by connection matrices. Zbl 0875.68888
Habib, Ayman W.; Goldman, Ron N.
1
1996
Change of basis algorithms for surfaces in CAGD. Zbl 0875.68922
Lodha, Suresh; Goldman, Ron
3
1995
Duality between degree elevation and differentiation for B-bases and L- bases. Zbl 0835.65030
Lodha, Suresh; Goldman, Ron
1
1995
Dual polynomial bases. Zbl 0824.41007
Goldman, Ronald N.
12
1994
A multivariate generalization of the de Boor-Fix formula. Zbl 0814.65005
Lodha, Suresh; Goldman, Ron
4
1994
Functional composition algorithms via blossoming. Zbl 0771.68100
Derose, Tony D.; Goldman, Ronald N.; Hagen, Hans; Mann, Stephen
23
1993
Knot insertion and deletion algorithms for B-spline curves and surfaces. Zbl 0772.00011
17
1993
Algorithms for progressive curves: Extending B-spline and blossoming techniques to the monomial, power, and Newton dual bases. Zbl 0797.41011
Barry, Phillip J.; Goldman, Ronald N.
9
1993
Knot insertion algorithms for piecewise polynomial spaces determined by connection matrices. Zbl 0824.65005
Barry, Phillip J.; Goldman, Ronald N.; Micchelli, Charles A.
6
1993
Knot insertion algorithms. Zbl 0797.41012
Barry, Phillip J.; Goldman, Ronald N.
6
1993
Factored knot insertion. Zbl 0795.41006
Barry, Phillip J.; Goldman, Ronald N.
5
1993
Degree, multiplicity, and inversion formulas for rational surfaces using \(u\)-resultants. Zbl 0756.65011
Chionh, Eng-Wee; Goldman, Ronald N.
16
1992
Unimodal properties of B-spline and Bernstein-basis functions. Zbl 0765.41012
Barry, P. J.; Beatty, J. C.; Goldman, R. N.
1
1992
Shape parameter deletion for Pólya curves. Zbl 0749.41009
Barry, Phillip J.; Goldman, Ronald N.
19
1991
Identities for piecewise polynomial spaces determined by connection matrices. Zbl 0769.41007
Barry, Phillip J.; Dyn, Nira; Goldman, Ronald N.; Micchelli, Charles A.
10
1991
...and 27 more Documents
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Cited by 906 Authors

75 Goldman, Ronald N.
19 Chen, Falai
18 Sederberg, Thomas W.
16 Pérez-Díaz, Sonia
15 Busé, Laurent
12 Wang, Haohao
11 D’Andrea, Carlos
11 Jia, Xiaohong
11 Shen, Liyong
11 Simeonov, Plamen C.
10 Alcazar, Juan Gerardo
9 Barry, Phillip J.
9 Cox, David A.
9 Wang, Xuhui
9 Winkler, Joab R.
8 Dişibüyük, Çetin
8 Peña, Juan Manuel
7 Ait-Haddou, Rachid
7 Düldül, Mustafa
7 Farouki, Rida T.
7 Hughes, Thomas J. R.
7 Marco García, Ana
7 Wang, Wenping
6 Dyn, Nira
6 Gao, Xiaoshan
6 Martínez, José-Javier
6 Sendra, Juan Rafael
6 Shi, Xiaoran
6 Simsek, Yilmaz
6 Zhang, Yongjie Jessica
5 Aléssio, Osmar
5 Breuils, Stéphane
5 Cortadellas Benítez, Teresa
5 Hermoso Ortiz, Carlos
5 Hoffman, Jerome William
5 Jüttler, Bert
5 Kustin, Andrew R.
5 Mainar, Esmeralda
5 Mann, Stephen
5 Mazure, Marie-Laurence
5 Sánchez-Reyes, Javier
5 Tan, Jieqing
5 Zeng, Xiaoming
5 Zhang, Li
5 Zhu, Chungang
4 Abdel-All, Nassar Hassan
4 Badr, Sayed Abdel-Naeim
4 Bourne, Martin
4 Chardin, Marc
4 Delgado, Jorge F. M.
4 Dickenstein, Alicia M.
4 Elber, Gershon
4 Gonzalez-Vega, Laureano
4 Hitzer, Eckhard
4 Lai, Yisheng
4 Lamnii, Mohamed
4 Lávička, Miroslav
4 Li, Jinggai
4 Manocha, Dinesh
4 Micchelli, Charles A.
4 Mourrain, Bernard
4 Nozick, Vincent
4 Patterson, Richard R.
4 Peters, Jorg
4 Schicho, Josef
4 Seidel, Hans-Peter
4 Su, Yi
4 Tijini, Ahmed
4 Tu, Changhe
4 Vršek, Jan
4 Xu, Xiaowei
4 Zheng, Jianmin
3 Botbol, Nicolás
3 Canny, John F.
3 Casciola, Giulio
3 Chtcherba, Arthur D.
3 Deng, Chongyang
3 Deng, Jiansong
3 Duarte, Eliana
3 Duchamp, Thomas E.
3 Düldül, Bahar Uyar
3 Elkadi, Mohamed
3 Emiris, Ioannis Z.
3 Evans, John A.
3 Feng, Jieqing
3 Fuchs, Laurent
3 Kapur, Deepak
3 Kozak, Jernej
3 Lamnii, Abdellah
3 Lee, E. T. Y.
3 Li, Ji
3 Lodha, Suresh Kumar
3 Morin, Géraldine
3 Mühlbach, Günter W.
3 Muntingh, Georg
3 Peltier, Samuel
3 Peters, Thomas J.
3 Polini, Claudia
3 Pottmann, Helmut
3 Qin, Xiaolin
...and 806 more Authors
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Cited in 156 Serials

186 Computer Aided Geometric Design
53 Journal of Symbolic Computation
39 Journal of Computational and Applied Mathematics
21 Computer Methods in Applied Mechanics and Engineering
20 Applied Mathematics and Computation
15 Advances in Applied Clifford Algebras
14 Numerical Algorithms
11 Journal of Computational Physics
10 Journal of Algebra
10 Linear Algebra and its Applications
9 Journal of Approximation Theory
9 Constructive Approximation
8 BIT
8 Journal of Systems Science and Complexity
7 Advances in Computational Mathematics
6 Mathematics of Computation
6 Mathematics and Computers in Simulation
6 International Journal of Computer Mathematics
5 Computers & Mathematics with Applications
5 Applied Numerical Mathematics
5 Journal of Inequalities and Applications
5 Foundations of Computational Mathematics
4 Calcolo
4 Computing
4 Computational Mechanics
4 Applicable Algebra in Engineering, Communication and Computing
4 Journal of Mathematical Imaging and Vision
4 SIAM Journal on Scientific Computing
4 Applied Mathematics. Series B (English Edition)
3 Discrete Applied Mathematics
3 Journal of Mathematical Analysis and Applications
3 Mathematical Methods in the Applied Sciences
3 Journal of Pure and Applied Algebra
3 Results in Mathematics
3 Transactions of the American Mathematical Society
3 Advances in Applied Mathematics
3 International Journal of Computational Geometry & Applications
3 Computational Geometry
3 Applied Mathematical Modelling
3 Filomat
3 Advances in Difference Equations
3 Mathematics in Computer Science
3 Mathematical Geosciences
2 International Journal for Numerical Methods in Engineering
2 Quaestiones Mathematicae
2 SIAM Journal on Numerical Analysis
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 The Visual Computer
2 Journal of Scientific Computing
2 Physics of Fluids
2 Mathematical Problems in Engineering
2 International Journal of Shape Modeling
2 European Journal of Mechanics. A. Solids
2 Journal of Applied Mathematics
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Journal of Algebra and its Applications
2 Mediterranean Journal of Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Mathematics
2 Open Mathematics
1 International Journal of Modern Physics B
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Computers and Fluids
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 International Journal of Mathematical Education in Science and Technology
1 International Journal for Numerical Methods in Fluids
1 Journal d’Analyse Mathématique
1 Journal of Fluid Mechanics
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Automatica
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 of Mathematics and Mathematical Sciences
1 Journal of Geometry
1 Journal of Number Theory
1 Journal of Soviet Mathematics
1 Mathematische Zeitschrift
1 Meccanica
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 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Theoretical Computer Science
1 Optimization
1 Numerical Methods for Partial Differential Equations
1 Mathematical and Computer Modelling
1 SIAM Journal on Matrix Analysis and Applications
1 Engineering with Computers
...and 56 more Serials
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Cited in 49 Fields

411 Numerical analysis (65-XX)
145 Computer science (68-XX)
128 Approximations and expansions (41-XX)
114 Algebraic geometry (14-XX)
71 Commutative algebra (13-XX)
56 Differential geometry (53-XX)
36 Linear and multilinear algebra; matrix theory (15-XX)
28 Geometry (51-XX)
18 Fluid mechanics (76-XX)
17 Number theory (11-XX)
16 Special functions (33-XX)
16 Mechanics of deformable solids (74-XX)
15 Field theory and polynomials (12-XX)
15 Real functions (26-XX)
13 Combinatorics (05-XX)
13 Functions of a complex variable (30-XX)
11 Partial differential equations (35-XX)
8 Convex and discrete geometry (52-XX)
8 Probability theory and stochastic processes (60-XX)
7 Biology and other natural sciences (92-XX)
6 Ordinary differential equations (34-XX)
6 Information and communication theory, circuits (94-XX)
5 Topological groups, Lie groups (22-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Manifolds and cell complexes (57-XX)
4 Statistics (62-XX)
4 Mechanics of particles and systems (70-XX)
4 Operations research, mathematical programming (90-XX)
3 Associative rings and algebras (16-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Operator theory (47-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Quantum theory (81-XX)
3 Geophysics (86-XX)
2 Nonassociative rings and algebras (17-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral transforms, operational calculus (44-XX)
2 Functional analysis (46-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 General algebraic systems (08-XX)
1 Measure and integration (28-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Algebraic topology (55-XX)
1 Optics, electromagnetic theory (78-XX)
1 Mathematics education (97-XX)

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