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Goldman, Ronald N.

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Author ID: goldman.ronald-n Recent zbMATH articles by "Goldman, Ronald N."
Published as: Goldman, Ronald N.; Goldman, R. N.; Goldman, Ronald; Goldman, R.
External Links: MGP
Documents Indexed: 60 Publications since 1976, including 2 Books

Publications by Year

Citations contained in zbMATH Open

55 Publications have been cited 524 times in 267 Documents Cited by Year
Implicit representation of parametric curves and surfaces. Zbl 0601.65008
Sederberg, T. W.; Anderson, D. C.; Goldman, R. N.
56
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
38
2000
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.
30
1984
Polya’s urn model and computer aided geometric design. Zbl 0602.68103
Goldman, Ronald N.
29
1985
Functional composition algorithms via blossoming. Zbl 0771.68100
Derose, Tony D.; Goldman, Ronald N.; Hagen, Hans; Mann, Stephen
20
1993
Shape parameter deletion for Pólya curves. Zbl 0749.41009
Barry, Phillip J.; Goldman, Ronald N.
18
1991
Knot insertion and deletion algorithms for B-spline curves and surfaces. Zbl 0772.00011
Goldman, Ronald N. (ed.); Lyche, Tom (ed.)
16
1993
Nonlinear subdivision through nonlinear averaging. Zbl 1172.65347
Schaefer, S.; Vouga, E.; Goldman, R.
15
2008
Degree, multiplicity, and inversion formulas for rational surfaces using \(u\)-resultants. Zbl 0756.65011
Chionh, Eng-Wee; Goldman, Ronald N.
15
1992
Computing quadric surface intersections based on an analysis of plane cubic curves. Zbl 1055.68133
Wang, Wenping; Joe, Barry; Goldman, Ronald
15
2002
Non-uniform subdivision for B-splines of arbitrary degree. Zbl 1205.65054
Schaefer, S.; Goldman, R.
14
2009
An integrated introduction to computer graphics and geometric modeling. Zbl 1175.65001
Goldman, Ronald
14
2009
Fast computation of the Bézout and Dixon resultant matrices. Zbl 0996.65046
Chionh, Eng-Wee; Zhang, Ming; Goldman, Ronald N.
13
2002
Dual polynomial bases. Zbl 0824.41007
Goldman, Ronald N.
12
1994
Conversion from Bézier rectangles to Bézier triangles. Zbl 0655.65023
Goldman, Ronald N.; Filip, Daniel J.
12
1987
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
Enhancing Levin’s method for computing quadric-surface intersections. Zbl 1069.65570
Wang, Wenping; Goldman, Ronald; Tu, Changhe
11
2003
Implicitization, inversion, and intersection of planar rational cubic curves. Zbl 0623.68079
Sederberg, T. W.; Anderson, D. C.; Goldman, R. N.
10
1985
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
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
The dual basis functions for the generalized Ball basis of odd degree. Zbl 0896.65019
Othman, W. A. M.; Goldman, R. N.
9
1997
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
The Sylvester resultant matrix for Bernstein polynomials. Zbl 1043.41004
Winkler, Joab R.; Goldman, Ronald N.
8
2003
Markov chains and computer-aided geometric design. I. Problems and constraints. Zbl 0592.68081
Goldman, Ronald N.
8
1984
Urn models and B-splines. Zbl 0645.60012
Goldman, Ronald N.
8
1988
Blossoming and knot insertion algorithms for B-spline curves. Zbl 0713.65006
Goldman, Ronald N.
8
1990
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
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.
6
1989
What is the natural generalization of a Bézier curve? Zbl 0714.41033
Barry, P. J.; Goldman, R. N.
6
1989
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
Linear subdivision is strictly a polynomial phenomenon. Zbl 0587.68091
Goldman, R. N.; Heath, D. C.
5
1984
A recursive proof of a B-spline identity for degree elevation. Zbl 0644.41006
Barry, Philip J.; Goldman, Ronald N.
5
1988
Factored knot insertion. Zbl 0795.41006
Barry, Phillip J.; Goldman, Ronald N.
5
1993
Rational quadratic parameterizations of quadrics. Zbl 0887.68109
Wang, Wenping; Joe, Barry; Goldman, Ronald
4
1997
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.
4
1985
Markov chains and computer aided geometric design. II. Examples and subdivision matrices. Zbl 0614.68080
Goldman, Ronald N.
4
1985
Interpolation and approximation of curves and surfaces using Pólya polynomials. Zbl 0829.41004
Barry, Phillip J.; Goldman, Ronald N.
4
1991
On the smoothness of real-valued functions generated by subdivision schemes using nonlinear binary averaging. Zbl 1205.65081
Goldman, R.; Vouga, E.; Schaefer, S.
3
2009
Hybrid Dixon resultants. Zbl 0960.65056
Zhang, M.; Chionh, E.; Goldman, R. N.
3
1998
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
De Casteljau-type subdivision is peculiar to Bézier curves. Zbl 0658.65012
Barry, P. J.; Goldman, R. N.
3
1988
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
The holonomy ring on the leaves of foliated manifolds. Zbl 0356.57016
Goldman, Ronald
3
1976
Some applications of resultants to problems in computational geometry. Zbl 0617.68090
Goldman, Ronald N.; Sederberg, Thomas W.
2
1985
Two blossoming proofs of the Lane-Riesenfeld algorithm. Zbl 1125.65015
Vouga, E.; Goldman, R.
2
2007
Blossoming and divided difference. Zbl 0990.65018
Goldman, R.
2
2001
Birational 2D free-form deformation of degree \(1\times n\). Zbl 1418.65035
Sederberg, Thomas W.; Goldman, Ronald N.; Wang, Xuhui
1
2016
Bézier subdivision for inverse molecular kinematics. Zbl 1108.92021
Zhang, Ming; Wang, Liqun; Goldman, Ronald
1
2006
Recursive subdivision without the convex hull property. Zbl 0631.65147
Goldman, Ronald N.; Derose, Tony D.
1
1986
Analytic approach to intersection of all piecewise parametric rational cubic curves. Zbl 0655.65024
Goldman, R. N.; Sederberg, T. W.
1
1987
Unimodal properties of B-spline and Bernstein-basis functions. Zbl 0765.41012
Barry, P. J.; Beatty, J. C.; Goldman, R. N.
1
1992
Birational 2D free-form deformation of degree \(1\times n\). Zbl 1418.65035
Sederberg, Thomas W.; Goldman, Ronald N.; Wang, Xuhui
1
2016
Non-uniform subdivision for B-splines of arbitrary degree. Zbl 1205.65054
Schaefer, S.; Goldman, R.
14
2009
An integrated introduction to computer graphics and geometric modeling. Zbl 1175.65001
Goldman, Ronald
14
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.
3
2009
Nonlinear subdivision through nonlinear averaging. Zbl 1172.65347
Schaefer, S.; Vouga, E.; Goldman, R.
15
2008
Two blossoming proofs of the Lane-Riesenfeld algorithm. Zbl 1125.65015
Vouga, E.; Goldman, R.
2
2007
Bézier subdivision for inverse molecular kinematics. Zbl 1108.92021
Zhang, Ming; Wang, Liqun; Goldman, Ronald
1
2006
Enhancing Levin’s method for computing quadric-surface intersections. Zbl 1069.65570
Wang, Wenping; Goldman, Ronald; Tu, Changhe
11
2003
The Sylvester resultant matrix for Bernstein polynomials. Zbl 1043.41004
Winkler, Joab R.; Goldman, Ronald N.
8
2003
Computing quadric surface intersections based on an analysis of plane cubic curves. Zbl 1055.68133
Wang, Wenping; Joe, Barry; Goldman, Ronald
15
2002
Fast computation of the Bézout and Dixon resultant matrices. Zbl 0996.65046
Chionh, Eng-Wee; Zhang, Ming; Goldman, Ronald N.
13
2002
Blossoming and divided difference. Zbl 0990.65018
Goldman, R.
2
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
38
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
Hybrid Dixon resultants. Zbl 0960.65056
Zhang, M.; Chionh, E.; Goldman, R. N.
3
1998
The dual basis functions for the generalized Ball basis of odd degree. Zbl 0896.65019
Othman, W. A. M.; Goldman, R. N.
9
1997
Rational quadratic parameterizations of quadrics. Zbl 0887.68109
Wang, Wenping; Joe, Barry; Goldman, Ronald
4
1997
A recursive algorithm for Hermite interpolation over a triangular grid. Zbl 0859.65005
Habib, A. W.; Goldman, R. N.; Lyche, T.
3
1996
Dual polynomial bases. Zbl 0824.41007
Goldman, Ronald N.
12
1994
Functional composition algorithms via blossoming. Zbl 0771.68100
Derose, Tony D.; Goldman, Ronald N.; Hagen, Hans; Mann, Stephen
20
1993
Knot insertion and deletion algorithms for B-spline curves and surfaces. Zbl 0772.00011
Goldman, Ronald N.; Lyche, Tom
16
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.
15
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.
18
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
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
Interpolation and approximation of curves and surfaces using Pólya polynomials. Zbl 0829.41004
Barry, Phillip J.; Goldman, Ronald N.
4
1991
B-splines, Pólya curves, and duality. Zbl 0725.41011
Barry, Phillip J.; Goldman, Ronald N.; DeRose, Tony D.
3
1991
Recursive polynomial curve schemes and computer-aided geometric design. Zbl 0682.41016
Barry, Philip J.; Goldman, Ronald N.
9
1990
Blossoming and knot insertion algorithms for B-spline curves. Zbl 0713.65006
Goldman, Ronald N.
8
1990
Algebraic aspects of geometric continuity. Zbl 0679.65006
Goldman, R. N.; Micchelli, C. A.
9
1989
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.
6
1989
What is the natural generalization of a Bézier curve? Zbl 0714.41033
Barry, P. J.; Goldman, R. N.
6
1989
Urn models and B-splines. Zbl 0645.60012
Goldman, Ronald N.
8
1988
A recursive proof of a B-spline identity for degree elevation. Zbl 0644.41006
Barry, Philip J.; Goldman, Ronald N.
5
1988
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
De Casteljau-type subdivision is peculiar to Bézier curves. Zbl 0658.65012
Barry, P. J.; Goldman, R. N.
3
1988
Conversion from Bézier rectangles to Bézier triangles. Zbl 0655.65023
Goldman, Ronald N.; Filip, Daniel J.
12
1987
Analytic approach to intersection of all piecewise parametric rational cubic curves. Zbl 0655.65024
Goldman, R. N.; Sederberg, T. W.
1
1987
Recursive subdivision without the convex hull property. Zbl 0631.65147
Goldman, Ronald N.; Derose, Tony D.
1
1986
Polya’s urn model and computer aided geometric design. Zbl 0602.68103
Goldman, Ronald N.
29
1985
Implicitization, inversion, and intersection of planar rational cubic curves. Zbl 0623.68079
Sederberg, T. W.; Anderson, D. C.; Goldman, R. N.
10
1985
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.
4
1985
Markov chains and computer aided geometric design. II. Examples and subdivision matrices. Zbl 0614.68080
Goldman, Ronald N.
4
1985
Some applications of resultants to problems in computational geometry. Zbl 0617.68090
Goldman, Ronald N.; Sederberg, Thomas W.
2
1985
Implicit representation of parametric curves and surfaces. Zbl 0601.65008
Sederberg, T. W.; Anderson, D. C.; Goldman, R. N.
56
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.
30
1984
Markov chains and computer-aided geometric design. I. Problems and constraints. Zbl 0592.68081
Goldman, Ronald N.
8
1984
Linear subdivision is strictly a polynomial phenomenon. Zbl 0587.68091
Goldman, R. N.; Heath, D. C.
5
1984
The holonomy ring on the leaves of foliated manifolds. Zbl 0356.57016
Goldman, Ronald
3
1976
all top 5

Cited by 363 Authors

20 Goldman, Ron N.
14 Chen, Falai
11 Goldman, Ronald N.
9 Barry, Phillip J.
9 Simeonov, Plamen C.
8 D’Andrea, Carlos
8 Winkler, Joab R.
6 Busé, Laurent
6 Cox, David A.
6 Sederberg, Thomas W.
6 Wang, Wenping
5 Jia, Xiaohong
5 Pérez-Díaz, Sonia
4 Bourne, Martin
4 Elber, Gershon
4 Farouki, Rida T.
4 Lamnii, M.
4 Micchelli, Charles A.
4 Mourrain, Bernard
4 Sendra, Juan Rafael
4 Shen, Liyong
4 Su, Yi
4 Tu, Changhe
4 Wang, Haohao
4 Zhang, Yongjie
3 Cortadellas Benítez, Teresa
3 Feng, Jieqing
3 Gao, Xiaoshan
3 Gonzalez-Vega, Laureano
3 Hughes, Thomas J. R.
3 Lai, Yisheng
3 Lamnii, Abdelleh
3 Lee, E. T. Y.
3 Lodha, Suresh Kumar
3 Marco García, Ana
3 Martínez, José-Javier
3 Mazure, Marie-Laurence
3 Mühlbach, Günter W.
3 Peltier, Samuel
3 Seidel, Hans-Peter
3 Simis, Aron
3 Wang, Wenyan
3 Wang, Xuhui
3 Zafiris, Vasilis G.
2 Alcazar, Juan Gerardo
2 Bosner, Tina
2 Chardin, Marc
2 Chionh, Engwee
2 Chu, Ying
2 Cui, Yuanmin
2 Deng, Jiansong
2 DeRose, Tony D.
2 Dişibüyük, Çetin
2 Duarte, Eliana
2 Elkadi, Mohamed
2 Evans, John A.
2 García Puente, Luis David
2 Gonska, Heinz Herbert
2 Goodman, Timothy N. T.
2 Han, Liwen
2 Hoffman, Jerome William
2 Hong, Jialin
2 Hong, Jooyoun
2 Hu, Shimin
2 Jüttler, Bert
2 Laurent, Pierre-Jean
2 Lazard, Daniel
2 Lazard, Sylvain
2 Li, Jia
2 Lienhardt, Pascal
2 Mann, Stephen
2 Mraoui, Hamid
2 Patterson, Richard R.
2 Peña, Juan Manuel
2 Peters, Jorg
2 Petitjean, Sylvain
2 Pottmann, Helmut
2 Qin, Kaihuai
2 Qin, Xiaolin
2 Rabczuk, Timon
2 Rogina, Mladen
2 Sablonnière, Paul
2 Sbibih, Driss
2 Schenck, Hal
2 Scott, Michael A.
2 Seceleanu, Alexandra
2 Shi, Xiaoran
2 Simsek, Yilmaz
2 Song, Ning
2 Sottile, Frank
2 Tang, Yuehong
2 Tijini, Ahmed
2 Vasconcelos, Wolmer V.
2 Viaña, Raquel
2 Winkel, Rudolf
2 Woźny, Paweł
2 Xu, Guoliang
2 Yang, Xunnian
2 Zeng, Xiaoming
2 Zhang, Yongjie Jessica
...and 263 more Authors
all top 5

Cited in 74 Serials

82 Computer Aided Geometric Design
21 Journal of Symbolic Computation
18 Journal of Computational and Applied Mathematics
8 Numerical Algorithms
7 Computer Methods in Applied Mechanics and Engineering
7 Constructive Approximation
6 Journal of Approximation Theory
5 Applied Mathematics and Computation
5 Linear Algebra and its Applications
4 Mathematics of Computation
4 BIT
4 Advances in Computational Mathematics
4 Journal of Systems Science and Complexity
3 Computers & Mathematics with Applications
3 Calcolo
3 Computing
3 Journal of Algebra
3 Transactions of the American Mathematical Society
3 Advances in Applied Mathematics
3 Applied Numerical Mathematics
3 International Journal of Computer Mathematics
3 SIAM Journal on Scientific Computing
2 Discrete Applied Mathematics
2 Journal of Pure and Applied Algebra
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Computational Mechanics
2 International Journal of Computational Geometry & Applications
2 Computational Geometry
2 Applicable Algebra in Engineering, Communication and Computing
2 Advances in Applied Clifford Algebras
2 Mathematics in Computer Science
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Computers and Fluids
1 International Journal of Mathematical Education in Science and Technology
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Demonstratio Mathematica
1 Information Sciences
1 International Journal for Numerical Methods in Engineering
1 Journal of Number Theory
1 Journal of Soviet Mathematics
1 Mathematics and Computers in Simulation
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Results in Mathematics
1 SIAM Journal on Numerical Analysis
1 Theoretical Computer Science
1 The Visual Computer
1 Aequationes Mathematicae
1 Journal of Mathematical Imaging and Vision
1 Applied Mathematics. Series B (English Edition)
1 Numerical Linear Algebra with Applications
1 Fractals
1 Science in China. Series E
1 International Journal of Shape Modeling
1 Journal of Shanghai University
1 Acta Mathematica Sinica. English Series
1 Journal of Applied Mathematics
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Journal of Algebra and its Applications
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Fixed Point Theory and Applications
1 Advances in Difference Equations
1 International Journal of Numerical Analysis and Modeling
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Set-Valued and Variational Analysis
1 Science China. Information Sciences
1 International Journal for Numerical Methods in Biomedical Engineering
1 Symmetry
1 Communications in Mathematics and Statistics
1 Open Mathematics

Citations by Year