Ron Goldman

According to our database, Ron Goldman authored at least 150 papers between 1983 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

Subdivision algorithms with modular arithmetic.

Ron Goldman

Comput. Aided Geom. Des., 2024

2023

On the uniqueness of the multirational blossom.

O. Ogulcan Tuncer, Plamen Simeonov, Ron Goldman

Comput. Aided Geom. Des., December, 2023

2021

Ruled Surfaces of Revolution with Moving Axes and Angles.

Haohao Wang, Ron Goldman

Int. J. Comput. Geom. Appl., 2021

2020

Limits of sums for binomial and Eulerian numbers and their associated distributions.

Meng Li, Ron Goldman

Discret. Math., 2020

Recognizing algebraic affine rotation surfaces.

Juan Gerardo Alcázar, Ron Goldman

Comput. Aided Geom. Des., 2020

2019

q-Blossoming for analytic functions.

Ron Goldman, Plamen Simeonov

Numer. Algorithms, 2019

Rational curves over generalized complex numbers.

Juan Du, Ron Goldman, Xuhui Wang

J. Symb. Comput., 2019

Surfaces of revolution with moving axes and angles.

Haohao Wang, Ron Goldman

Graph. Model., 2019

Limits of Sums for Binomial and Eulerian Numbers and their Associated Distributions.

Meng Li, Ron Goldman

CoRR, 2019

On Lototsky-Bernstein operators and Lototsky-Bernstein bases.

Xiao-Wei Xu, Ron Goldman

Comput. Aided Geom. Des., 2019

Representing rational curve segments and surface patches using semi-algebraic sets.

Li-Yong Shen, Sonia Pérez-Díaz, Ron Goldman, Yifei Feng

Comput. Aided Geom. Des., 2019

High order smoothness of non-linear Lane-Riesenfeld algorithms in the functional setting.

Nira Dyn, Ron Goldman, David Levin

Comput. Aided Geom. Des., 2019

2018

Using Dual Quaternion to Study Translational Surfaces.

Haohao Wang, Ron Goldman

Math. Comput. Sci., 2018

Syzygies for translational surfaces.

Haohao Wang, Ron Goldman

J. Symb. Comput., 2018

de Boor-suitable (DS) T-splines.

Yang Zhang, Visit Pataranutaporn, Ron Goldman

Graph. Model., 2018

Implicitizing ruled translational surfaces.

Haohao Wang, Ron Goldman

Comput. Aided Geom. Des., 2018

Combining complementary methods for implicitizing rational tensor product surfaces.

Li-Yong Shen, Ron Goldman

Comput. Aided Des., 2018

2017

Detecting When an Implicit Equation or a Rational Parametrization Defines a Conical or Cylindrical Surface, or a Surface of Revolution.

Juan Gerardo Alcázar, Ron Goldman

IEEE Trans. Vis. Comput. Graph., 2017

Implicitizing Rational Tensor Product Surfaces Using the Resultant of Three Moving Planes.

Li-Yong Shen, Ron Goldman

ACM Trans. Graph., 2017

Strong μ-Bases for Rational Tensor Product Surfaces and Extraneous Factors Associated to Bad Base Points and Anomalies at Infinity.

Li-Yong Shen, Ron Goldman

SIAM J. Appl. Algebra Geom., 2017

An Asymmetric Distributed Method for Sorting a Robot Swarm.

Yu Zhou, Ron Goldman, James McLurkin

IEEE Robotics Autom. Lett., 2017

Shape preserving properties of univariate Lototsky-Bernstein operators.

Xiao-Wei Xu, Xiao-Ming Zeng, Ron Goldman

J. Approx. Theory, 2017

Algorithms for computing strong μ-bases for rational tensor product surfaces.

Li-Yong Shen, Ron Goldman

Comput. Aided Geom. Des., 2017

Building Fractals with a Robot Swarm.

Yu Zhou, Ron Goldman

Proceedings of the Advances in Swarm Intelligence - 8th International Conference, 2017

2016

Finding the Axis of Revolution of an Algebraic Surface of Revolution.

Juan Gerardo Alcázar, Ron Goldman

IEEE Trans. Vis. Comput. Graph., 2016

Novel polynomial Bernstein bases and Bézier curves based on a general notion of polynomial blossoming.

Ron Goldman, Plamen Simeonov

Numer. Algorithms, 2016

Algebraic surfaces invariant under scissor shears.

Juan Gerardo Alcázar, Ron Goldman, Carlos Hermoso

Graph. Model., 2016

Explicit μ-bases for conic sections and planar rational cubic curves.

Xuhui Wang, Ron Goldman, Thomas W. Sederberg

Comput. Aided Geom. Des., 2016

Birational 2D Free-Form Deformation of degree 1 × n.

Thomas W. Sederberg, Ronald N. Goldman, Xuhui Wang

Comput. Aided Geom. Des., 2016

Two additional advantages of complex μ-bases for non-ruled real quadric surfaces.

Ron Goldman, Xuhui Wang

Comput. Aided Geom. Des., 2016

Generalized quantum splines.

Ron Goldman, Plamen Simeonov

Comput. Aided Geom. Des., 2016

Generating a 3D Normative Infant Cranial Model.

Binhang Yuan, Ronald N. Goldman, Eric Wang, Olushola Olorunnipa, David Khechoyan

Proceedings of the International Conference on Computational Science 2016, 2016

2015

Extending fundamental formulas from classical B-splines to quantum B-splines.

Gülter Budakçi, Çetin Disibüyük, Ron Goldman, Halil Oruç

J. Comput. Appl. Math., 2015

Quantum Bernstein bases and quantum Bézier curves.

Ron Goldman, Plamen Simeonov

J. Comput. Appl. Math., 2015

A unifying structure for polar forms and for Bernstein Bézier curves.

Çetin Disibüyük, Ron Goldman

J. Approx. Theory, 2015

Quaternion rational surfaces: Rational surfaces generated from the quaternion product of two rational space curves.

Xuhui Wang, Ron Goldman

Graph. Model., 2015

Complex μ-bases for real quadric surfaces.

Ron Goldman, Thomas W. Sederberg, Xuhui Wang

Comput. Aided Geom. Des., 2015

Best polynomial degree reduction on q-lattices with applications to q-orthogonal polynomials.

Rachid Ait-Haddou, Ron Goldman

Appl. Math. Comput., 2015

2014

Generating Functions for the q-Bernstein Bases.

Ron Goldman, Plamen Simeonov, Yilmaz Simsek

SIAM J. Discret. Math., 2014

Corrigendum to Example 4 in "μ-Bases for complex rational curves" [Computer Aided Geometric Design 30 (2013), 623-635].

Xuhui Wang, Ron Goldman

Comput. Aided Geom. Des., 2014

2013

Using a bihomogeneous resultant to find the singularities of rational space curves.

Xiaoran Shi, Xiaohong Jia, Ron Goldman

J. Symb. Comput., 2013

Modeling perspective projections in 3-dimensions by rotations in 4-dimensions.

Ron Goldman

Graph. Model., 2013

μ-Bases for complex rational curves.

Xuhui Wang, Ron Goldman

Comput. Aided Geom. Des., 2013

2012

q-Blossoming: A new approach to algorithms and identities for q-Bernstein bases and q-Bézier curves.

Plamen Simeonov, Vasilis Zafiris, Ron Goldman

J. Approx. Theory, 2012

Formulas and algorithms for quantum differentiation of quantum Bernstein bases and quantum Bézier curves based on quantum blossoming.

Ron Goldman, Plamen Simeonov

Graph. Model., 2012

Using μ-bases to implicitize rational surfaces with a pair of orthogonal directrices.

Xiaoran Shi, Xuhui Wang, Ron Goldman

Comput. Aided Geom. Des., 2012

Implicitizing rational surfaces of revolution using μ-bases.

Xiaoran Shi, Ron Goldman

Comput. Aided Geom. Des., 2012

Using Smith normal forms and μ-bases to compute all the singularities of rational planar curves.

Xiaohong Jia, Ron Goldman

Comput. Aided Geom. Des., 2012

Generating Functions for Uniform B-Splines.

Ron Goldman

Proceedings of the Mathematical Methods for Curves and Surfaces, 2012

2011

Convergence and Smoothness of Nonlinear Lane-Riesenfeld Algorithms in the Functional Setting.

Nira Dyn, Ron Goldman

Found. Comput. Math., 2011

Understanding quaternions.

Ron Goldman

Graph. Model., 2011

h-Blossoming: A new approach to algorithms and identities for h-Bernstein bases and h-Bézier curves.

Plamen Simeonov, Vasilis Zafiris, Ron Goldman

Comput. Aided Geom. Des., 2011

A Homogeneous Model for Three-Dimensional Computer Graphics Based on the Clifford Algebra for ℝ³.

Ron Goldman

Proceedings of the Guide to Geometric Algebra in Practice., 2011

2010

Rethinking Quaternions

Ron Goldman

Synthesis Lectures on Computer Graphics and Animation, Morgan & Claypool Publishers, ISBN: 978-3-031-79549-7, 2010

Set-theoretic generators of rational space curves.

Xiaohong Jia, Haohao Wang, Ron Goldman

J. Symb. Comput., 2010

Using Smith Normal Forms and mu-Bases to Compute all the Singularities of Rational Planar Curves

Xiaohong Jia, Ron Goldman

CoRR, 2010

2009

Axial moving planes and singularities of rational space curves.

Haohao Wang, Xiaohong Jia, Ron Goldman

Comput. Aided Geom. Des., 2009

mu-bases for polynomial systems in one variable.

Ning Song, Ron Goldman

Comput. Aided Geom. Des., 2009

Non-uniform subdivision for B-splines of arbitrary degree.

Scott Schaefer, Ron Goldman

Comput. Aided Geom. Des., 2009

µ-Bases and singularities of rational planar curves.

Xiaohong Jia, Ron Goldman

Comput. Aided Geom. Des., 2009

On the smoothness of real-valued functions generated by subdivision schemes using nonlinear binary averaging.

Ron Goldman, Etienne Vouga, Scott Schaefer

Comput. Aided Geom. Des., 2009

2008

Nonlinear subdivision through nonlinear averaging.

Scott Schaefer, Etienne Vouga, Ron Goldman

Comput. Aided Geom. Des., 2008

Division algorithms for Bernstein polynomials.

Laurent Busé, Ron Goldman

Comput. Aided Geom. Des., 2008

After the revolution: Geometric algebra for Computer Scientists in the twenty-first century.

Ron Goldman

Comput. Aided Des., 2008

2007

Two blossoming proofs of the Lane-Riesenfeld algorithm.

Etienne Vouga, Ron Goldman

Computing, 2007

Editorial: Special issue on Geometric Modeling (Dagstuhl 2005).

Stefanie Hahmann, Guido Brunnett, Gerald E. Farin, Ron Goldman

Computing, 2007

Axial moving lines and singularities of rational planar curves.

Ning Song, Falai Chen, Ron Goldman

Comput. Aided Geom. Des., 2007

2006

Bézier Subdivision for Inverse Molecular Kinematics.

Ming Zhang, Liqun Wang, Ronald N. Goldman

Int. J. Comput. Geom. Appl., 2006

Algebraic geometry and geometric modeling: insight and computation.

Ron Goldman

Proceedings of the Algebraic Geometry and Geometric Modeling, 2006

2005

Curvature formulas for implicit curves and surfaces.

Ron Goldman

Comput. Aided Geom. Des., 2005

Improving conformational searches by geometric screening.

Ming Zhang, R. Allen White, Liqun Wang, Ronald N. Goldman, Lydia E. Kavraki, Brendan Hassett

Bioinform., 2005

Subdivision Schemes and Attractors.

Scott Schaefer, David Levin, Ron Goldman

Proceedings of the Third Eurographics Symposium on Geometry Processing, 2005

05221 Report of the Dagstuhl seminar on - Geometric Modelling.

Stefanie Hahmann, Guido Brunnett, Gerald E. Farin, Ron Goldman

Proceedings of the Geometric Modeling, 29.05. - 03.06.2005, 2005

2004

Using Invariants To Extract Geometric Characteristics Of Conic Sections From Rational Quadratic Parameterizations.

Ronald N. Goldman, Wenping Wang

Int. J. Comput. Geom. Appl., 2004

Recursive turtle programs and iterated affine transformations.

Tao Ju, Scott Schaefer, Ron Goldman

Comput. Graph., 2004

Multisided arrays of control points for multisided Bezier patches.

Ronald N. Goldman

Comput. Aided Geom. Des., 2004

Turtle geometry in computer graphics and computer-aided design.

Ron Goldman, Scott Schaefer, Tao Ju

Comput. Aided Des., 2004

Sylvester-resultants for bivariate polynomials with planar newton polygons.

Amit Khetan, Ning Song, Ron Goldman

Proceedings of the Symbolic and Algebraic Computation, 2004

The Fractal Nature of Bezier Curves.

Ronald N. Goldman

Proceedings of the 2004 Geometric Modeling and Processing (GMP 2004), 2004

2003

Deriving Linear Transformations in Three Dimensions.

Ron Goldman

IEEE Computer Graphics and Applications, 2003

Enhancing Levin's method for computing quadric-surface intersections.

Wenping Wang, Ronald N. Goldman, Changhe Tu

Comput. Aided Geom. Des., 2003

Computer Graphics in its Fifth Decade: Ferment at the Foundations.

Ron Goldman

Proceedings of the 11th Pacific Conference on Computer Graphics and Applications, 2003

Morphing Rational B-spline Curves and Surfaces Using Mass Distributions.

Tao Ju, Ron Goldman

Proceedings of the 24th Annual Conference of the European Association for Computer Graphics, 2003

Pyramid algorithms - a dynamic programming approach to curves and surfaces for geometric modeling.

Ronald N. Goldman

Morgan Kaufmann series in computer graphics and geometric modeling, Morgan Kaufmann, ISBN: 978-1-55860-354-7, 2003

2002

On the algebraic and geometric foundations of computer graphics.

Ron Goldman

ACM Trans. Graph., 2002

Fast Computation of the Bezout and Dixon Resultant Matrices.

Eng-Wee Chionh, Ming Zhang, Ronald N. Goldman

J. Symb. Comput., 2002

Computing quadric surface intersections based on an analysis of plane cubic curves.

Wenping Wang, Barry Joe, Ronald N. Goldman

Graph. Model., 2002

The affine invariant analytic blossom.

Ronald N. Goldman, Géraldine Morin

Comput. Aided Geom. Des., 2002

2001

Baseball Arithmetic and the Laws of Pseudoperspective.

Ron Goldman

IEEE Computer Graphics and Applications, 2001

On the smooth convergence of subdivision and degree elevation for Bézier curves.

Géraldine Morin, Ronald N. Goldman

Comput. Aided Geom. Des., 2001

Trimming analytic functions using right sided Poisson subdivision.

Géraldine Morin, Ronald N. Goldman

Comput. Aided Des., 2001

2000

On the Validity of Implicitization by Moving Quadrics for Rational Surfaces with No Base Points.

David A. Cox, Ronald N. Goldman, Ming Zhang

J. Symb. Comput., 2000

The Ambient Spaces of Computer Graphics and Geometric Modeling.

Ron Goldman

IEEE Computer Graphics and Applications, 2000

A subdivision scheme for Poisson curves and surfaces.

Géraldine Morin, Ronald N. Goldman

Comput. Aided Geom. Des., 2000

Rectangular corner cutting and Sylvester A-resultants.

Ming Zhang, Ronald N. Goldman

Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation, 2000

Poisson Approximation.

Ronald N. Goldman, Géraldine Morin

Proceedings of the Geometric Modeling and Processing 2000, 2000

Implicitization by Dixon A-Resultants.

Eng-Wee Chionh, Ming Zhang, Ronald N. Goldman

Proceedings of the Geometric Modeling and Processing 2000, 2000

1999

On a relationship between the moving line and moving conic coefficient matrices.

Ming Zhang, Eng-Wee Chionh, Ronald N. Goldman

Comput. Aided Geom. Des., 1999

The rational Bernstein bases and the multirational blossoms.

Ron Goldman

Comput. Aided Geom. Des., 1999

Blossoming with cancellation.

Ron Goldman

Comput. Aided Geom. Des., 1999

Blossoming and Divided Difference.

Ron Goldman

Proceedings of the Geometric Modelling, Dagstuhl, 1999

1998

On the Linear Independence of the Bivariate Discrete Convolution Blending Functions.

L. Yohanes Stefanus, Ronald N. Goldman

Proceedings of Computing: The Fourth Australasian Theory Symposium (CATS'98), 1998

1997

A unified approach to evaluation algorithms for multivariate polynomials.

Suresh K. Lodha, Ron Goldman

Math. Comput., 1997

Implicitizing Rational Curves by the Method of Moving Algebraic Curves.

Thomas W. Sederberg, Ron Goldman, Hang Du

J. Symb. Comput., 1997

Rational Quadratic Parameterizations of Quadrics.

Wenping Wang, Barry Joe, Ronald N. Goldman

Int. J. Comput. Geom. Appl., 1997

The dual basis functions for the generalized Ball basis of odd degree.

Wan Ainun Mior Othman, Ronald N. Goldman

Comput. Aided Geom. Des., 1997

1996

Theories of contact specified by connection matrices.

Ayman W. Habib, Ronald N. Goldman

Comput. Aided Geom. Des., 1996

1995

Geometric Algorithms for Detecting and Calculating All Conic Sections in the Intersection of Any 2 Natural Quadric Surfaces.

James R. Miller, Ronald N. Goldman

CVGIP Graph. Model. Image Process., 1995

Elimination and resultants.2. Multivariate resultants.

Eng-Wee Chionh, Ronald N. Goldman

IEEE Computer Graphics and Applications, 1995

Elimination and resultants. 1. Elimination and bivariate resultants.

Eng-Wee Chionh, Ronald N. Goldman

IEEE Computer Graphics and Applications, 1995

Change of basis algorithms for surfaces in CAGD.

Suresh K. Lodha, Ron Goldman

Comput. Aided Geom. Des., 1995

1994

On the Existence and the Coefficients of the Implicit Equation of Rational Surfaces.

Eng-Wee Chionh, Ronald N. Goldman

CVGIP Graph. Model. Image Process., 1994

Knot Insertion Using Forward Differences.

Phillip J. Barry, Ron Goldman

Proceedings of the Graphics Gems, 1994

1993

Functional Composition Algorithms via Blossoming.

Tony DeRose, Ronald N. Goldman, Hans Hagen, Stephen Mann

ACM Trans. Graph., 1993

Erratum: Volume 55, Number 1 (1993) in the article "An Extension of Chaiken's Algorithm to B-Spline Curves with Knots in Geometric Progression," by Ron Goldman and Joe Warren, pages 58-62.

Ron Goldman, Joe D. Warren

CVGIP Graph. Model. Image Process., 1993

An Extension of Chaiken's Algorithm to B-Spline Curves with Knots in Geometric Progression.

Ron Goldman, Joe D. Warren

CVGIP Graph. Model. Image Process., 1993

Knot insertion algorithms for piecewise polynomial spaces determined by connection matrices.

Phillip J. Barry, Ronald N. Goldman, Charles A. Micchelli

Adv. Comput. Math., 1993

Unimodal Properties of Generalized Ball Bases.

Phillip J. Barry, Ronald N. Goldman

Proceedings of the Geometric Modelling, Dagstuhl, 1993

1992

Using multivariate resultants to find the implicit equation of a rational surface.

Eng-Wee Chionh, Ronald N. Goldman

Vis. Comput., 1992

Using tangent balls to find plane sections of natural quadrics.

James R. Miller, Ronald N. Goldman

IEEE Computer Graphics and Applications, 1992

Blossoming Marsden's identity.

L. Yohanes Stefanus, Ronald N. Goldman

Comput. Aided Geom. Des., 1992

Degree, multiplicity, and inversion formulas for rational surfaces using u-resultants.

Eng-Wee Chionh, Ronald N. Goldman

Comput. Aided Geom. Des., 1992

Unimodal properties of B-spline and Bernstein-basis functions.

Phillip J. Barry, John C. Beatty, Ronald N. Goldman

Comput. Aided Des., 1992

Chapter 4: Knot Insertion Algorithms.

Phillip J. Barry, Ronald N. Goldman

Proceedings of the Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces, 1992

Chapter 3: Factored Knot Insertion.

Phillip J. Barry, Ronald N. Goldman

Proceedings of the Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces, 1992

Chapter 2: Algorithms for Progressive Curves: Extending B-Spline and Blossoming Techniques to the Monomial, Power, and Newton Dual Bases.

Phillip J. Barry, Ronald N. Goldman

Proceedings of the Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces, 1992

Decomposing linear and Affine Transformations.

Ronald N. Goldman

Proceedings of the Graphics Gems III (IBM Version), 1992

Decomposing Projective Transformations.

Ronald N. Goldman

Proceedings of the Graphics Gems III (IBM Version), 1992

Cross Product in Four Dimensions and beyond.

Ronald N. Goldman

Proceedings of the Graphics Gems III (IBM Version), 1992

1991

Using Multivariate Resultants to Find the Intersection of Three Quadric Surfaces.

Eng-Wee Chionh, Ronald N. Goldman, James R. Miller

ACM Trans. Graph., 1991

Shape parameter deletion for Pólya curves.

Phillip J. Barry, Ronald N. Goldman

Numer. Algorithms, 1991

Interpolation and approximation of curves and surfaces using Pólya polynomials.

Phillip J. Barry, Ronald N. Goldman

CVGIP Graph. Model. Image Process., 1991

Combining algebraic rigor with geometric robustness for the detection and calculation of conic sections in the intersection of two natural quadric surfaces.

Ronald N. Goldman, James R. Miller

Proceedings of the first ACM Symposium on Solid Modeling Foundations and CAD/CAM Applications, 1991

1990

Blossoming and knot insertion algorithms for B-spline curves.

Ronald N. Goldman

Comput. Aided Geom. Des., 1990

Geometric continuity.

Ronald N. Goldman

Comput. Aided Des., 1990

1988

A recursive proof of a B-spline identity for degree elevation.

Phillip J. Barry, Ronald N. Goldman

Comput. Aided Geom. Des., 1988

A recursive evaluation algorithm for a class of Catmull-Rom splines.

Phillip J. Barry, Ronald N. Goldman

Proceedings of the 15th Annual Conference on Computer Graphics and Interactive Techniques, 1988

1986

Algebraic Geometry for Computer-Aided Geometric Design.

Thomas W. Sederberg, Ronald N. Goldman

IEEE Computer Graphics and Applications, 1986

Urn Models and Beta-Splines.

Ronald N. Goldman

IEEE Computer Graphics and Applications, 1986

Recursive subdivision without the convex hull property.

Ronald N. Goldman, Tony DeRose

Comput. Aided Geom. Des., 1986

1985

Some applications of resultants to problems in computational geometry.

Ronald N. Goldman, Thomas W. Sederberg

Vis. Comput., 1985

Illicit Expressions in Vector Algebra.

Ronald N. Goldman

ACM Trans. Graph., 1985

Markov Chains and Computer Aided Geometric Design II - Examples and Subdivision Matrices.

Ronald N. Goldman

ACM Trans. Graph., 1985

Implicitization, inversion, and intersection of planar rational cubic curves.

Thomas W. Sederberg, David C. Anderson, Ronald N. Goldman

Comput. Vis. Graph. Image Process., 1985

The method of resolvents: A technique for the implicitization, inversion, and intersection of non-planar, parametric, rational cubic curves.

Ronald N. Goldman

Comput. Aided Geom. Des., 1985

1984

Markov Chains and Computer-Aided Geometric Design: Part I - Problems and Constraints.

Ronald N. Goldman

ACM Trans. Graph., 1984

Implicit representation of parametric curves and surfaces.

Thomas W. Sederberg, David C. Anderson, Ronald N. Goldman

Comput. Vis. Graph. Image Process., 1984

Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves.

Ronald N. Goldman, Thomas W. Sederberg, David C. Anderson

Comput. Aided Geom. Des., 1984

Linear subdivision is strictly a polynomial phenomenon.

Ronald N. Goldman, David C. Heath

Comput. Aided Geom. Des., 1984

1983

Solid modeling(Panel Session).

Ronald N. Goldman, Dave Gossard, Richard F. Riesenfeld, Herbert B. Voelcker, Tony Woo

Proceedings of the 10th Annual Conference on Computer Graphics and Interactive Techniques, 1983