Solid modeling(Panel Session). - Ronald N. Goldman; Dave Gossard; Richard F. Riesenfeld; Herbert B. Voelcker; Tony Woo (SIGGRAPH, 1983)

Linear subdivision is strictly a polynomial phenomenon. - Ronald N. Goldman; David C. Heath (Comput. Aided Geom. Des., 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)

Implicit representation of parametric curves and surfaces. - Thomas W. Sederberg; David C. Anderson; Ronald N. Goldman (Comput. Vis. Graph. Image Process., 1984)

Markov Chains and Computer-Aided Geometric Design: Part I - Problems and Constraints. - Ronald N. Goldman (ACM Trans. Graph., 1984)

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)

Implicitization, inversion, and intersection of planar rational cubic curves. - Thomas W. Sederberg; David C. Anderson; Ronald N. Goldman (Comput. Vis. Graph. Image Process., 1985)

Markov Chains and Computer Aided Geometric Design II - Examples and Subdivision Matrices. - Ronald N. Goldman (ACM Trans. Graph., 1985)

Illicit Expressions in Vector Algebra. - Ronald N. Goldman (ACM Trans. Graph., 1985)

Some applications of resultants to problems in computational geometry. - Ronald N. Goldman; Thomas W. Sederberg (Vis. Comput., 1985)

Recursive subdivision without the convex hull property. - Ronald N. Goldman; Tony DeRose (Comput. Aided Geom. Des., 1986)

Urn Models and Beta-Splines. - Ronald N. Goldman (IEEE Computer Graphics and Applications, 1986)

Algebraic Geometry for Computer-Aided Geometric Design. - Thomas W. Sederberg; Ronald N. Goldman (IEEE Computer Graphics and Applications, 1986)

A recursive evaluation algorithm for a class of Catmull-Rom splines. - Phillip J. Barry; Ronald N. Goldman (SIGGRAPH, 1988)

A recursive proof of a B-spline identity for degree elevation. - Phillip J. Barry; Ronald N. Goldman (Comput. Aided Geom. Des., 1988)

Geometric continuity. - Ronald N. Goldman (Comput. Aided Des., 1990)

Blossoming and knot insertion algorithms for B-spline curves. - Ronald N. Goldman (Comput. Aided Geom. Des., 1990)

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 (Symposium on Solid Modeling and Applications, 1991)

Interpolation and approximation of curves and surfaces using Pólya polynomials. - Phillip J. Barry; Ronald N. Goldman (CVGIP Graph. Model. Image Process., 1991)

Shape parameter deletion for Pólya curves. - Phillip J. Barry; Ronald N. Goldman (Numer. Algorithms, 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)

Cross Product in Four Dimensions and beyond. - Ronald N. Goldman (Graphics Gems III, 1992)

Decomposing Projective Transformations. - Ronald N. Goldman (Graphics Gems III, 1992)

Decomposing linear and Affine Transformations. - Ronald N. Goldman (Graphics Gems III, 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 (Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces, 1992)

Chapter 3: Factored Knot Insertion. - Phillip J. Barry; Ronald N. Goldman (Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces, 1992)

Chapter 4: Knot Insertion Algorithms. - Phillip J. Barry; Ronald N. Goldman (Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces, 1992)

Unimodal properties of B-spline and Bernstein-basis functions. - Phillip J. Barry; John C. Beatty; Ronald N. Goldman (Comput. Aided Des., 1992)

Degree, multiplicity, and inversion formulas for rational surfaces using u-resultants. - Eng-Wee Chionh; Ronald N. Goldman (Comput. Aided Geom. Des., 1992)

Blossoming Marsden's identity. - L. Yohanes Stefanus; Ronald N. Goldman (Comput. Aided Geom. Des., 1992)

Using tangent balls to find plane sections of natural quadrics. - James R. Miller; Ronald N. Goldman (IEEE Computer Graphics and Applications, 1992)

Using multivariate resultants to find the implicit equation of a rational surface. - Eng-Wee Chionh; Ronald N. Goldman (Vis. Comput., 1992)

Unimodal Properties of Generalized Ball Bases. - Phillip J. Barry; Ronald N. Goldman (Geometric Modelling, 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)

An Extension of Chaiken's Algorithm to B-Spline Curves with Knots in Geometric Progression. - Ron Goldman 002; Joe D. Warren (CVGIP Graph. Model. Image Process., 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 002; Joe D. Warren (CVGIP Graph. Model. Image Process., 1993)

Functional Composition Algorithms via Blossoming. - Tony DeRose; Ronald N. Goldman; Hans Hagen; Stephen Mann (ACM Trans. Graph., 1993)

Knot Insertion Using Forward Differences. - Phillip J. Barry; Ron Goldman 002 (Graphics Gems, 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)

Change of basis algorithms for surfaces in CAGD. - Suresh K. Lodha; Ron Goldman 002 (Comput. Aided Geom. Des., 1995)

Elimination and resultants. 1. Elimination and bivariate resultants. - Eng-Wee Chionh; Ronald N. Goldman (IEEE Computer Graphics and Applications, 1995)

Elimination and resultants.2. Multivariate resultants. - Eng-Wee Chionh; Ronald N. Goldman (IEEE Computer Graphics and Applications, 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)

Theories of contact specified by connection matrices. - Ayman W. Habib; Ronald N. Goldman (Comput. Aided Geom. Des., 1996)

The dual basis functions for the generalized Ball basis of odd degree. - Wan Ainun Mior Othman; Ronald N. Goldman (Comput. Aided Geom. Des., 1997)

Rational Quadratic Parameterizations of Quadrics. - Wenping Wang 001; Barry Joe; Ronald N. Goldman (Int. J. Comput. Geom. Appl., 1997)

Implicitizing Rational Curves by the Method of Moving Algebraic Curves. - Thomas W. Sederberg; Ron Goldman 002; Hang Du (J. Symb. Comput., 1997)

A unified approach to evaluation algorithms for multivariate polynomials. - Suresh K. Lodha; Ron Goldman 002 (Math. Comput., 1997)

On the Linear Independence of the Bivariate Discrete Convolution Blending Functions. - L. Yohanes Stefanus; Ronald N. Goldman (CATS, 1998)

Blossoming and Divided Difference. - Ron Goldman 002 (Geometric Modelling, 1999)

Blossoming with cancellation. - Ron Goldman 002 (Comput. Aided Geom. Des., 1999)

The rational Bernstein bases and the multirational blossoms. - Ron Goldman 002 (Comput. Aided Geom. Des., 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)

Implicitization by Dixon A-Resultants. - Eng-Wee Chionh; Ming Zhang; Ronald N. Goldman (GMP, 2000)

Poisson Approximation. - Ronald N. Goldman; Géraldine Morin (GMP, 2000)

Rectangular corner cutting and Sylvester A-resultants. - Ming Zhang; Ronald N. Goldman (ISSAC, 2000)

A subdivision scheme for Poisson curves and surfaces. - Géraldine Morin; Ronald N. Goldman (Comput. Aided Geom. Des., 2000)

The Ambient Spaces of Computer Graphics and Geometric Modeling. - Ron Goldman 002 (IEEE Computer Graphics and Applications, 2000)

On the Validity of Implicitization by Moving Quadrics for Rational Surfaces with No Base Points. - David A. Cox 001; Ronald N. Goldman; Ming Zhang (J. Symb. Comput., 2000)

Trimming analytic functions using right sided Poisson subdivision. - Géraldine Morin; Ronald N. Goldman (Comput. Aided Des., 2001)

On the smooth convergence of subdivision and degree elevation for Bézier curves. - Géraldine Morin; Ronald N. Goldman (Comput. Aided Geom. Des., 2001)

Baseball Arithmetic and the Laws of Pseudoperspective. - Ron Goldman 002 (IEEE Computer Graphics and Applications, 2001)

The affine invariant analytic blossom. - Ronald N. Goldman; Géraldine Morin (Comput. Aided Geom. Des., 2002)

Computing quadric surface intersections based on an analysis of plane cubic curves. - Wenping Wang 001; Barry Joe; Ronald N. Goldman (Graph. Model., 2002)

Fast Computation of the Bezout and Dixon Resultant Matrices. - Eng-Wee Chionh; Ming Zhang; Ronald N. Goldman (J. Symb. Comput., 2002)

On the algebraic and geometric foundations of computer graphics. - Ron Goldman 002 (ACM Trans. Graph., 2002)

Pyramid algorithms - a dynamic programming approach to curves and surfaces for geometric modeling. - Ronald N. Goldman (Morgan Kaufmann, 2003)

Morphing Rational B-spline Curves and Surfaces Using Mass Distributions. - Tao Ju 001; Ron Goldman 002 (Eurographics (Short Presentations), 2003)

Computer Graphics in its Fifth Decade: Ferment at the Foundations. - Ron Goldman 002 (PG, 2003)

Enhancing Levin's method for computing quadric-surface intersections. - Wenping Wang 001; Ronald N. Goldman; Changhe Tu (Comput. Aided Geom. Des., 2003)

Deriving Linear Transformations in Three Dimensions. - Ron Goldman 002 (IEEE Computer Graphics and Applications, 2003)

The Fractal Nature of Bezier Curves. - Ronald N. Goldman (GMP, 2004)

Sylvester-resultants for bivariate polynomials with planar newton polygons. - Amit Khetan; Ning Song; Ron Goldman 002 (ISSAC, 2004)

Turtle geometry in computer graphics and computer-aided design. - Ron Goldman 002; Scott Schaefer; Tao Ju 001 (Comput. Aided Des., 2004)

Multisided arrays of control points for multisided Bezier patches. - Ronald N. Goldman (Comput. Aided Geom. Des., 2004)

Recursive turtle programs and iterated affine transformations. - Tao Ju 001; Scott Schaefer; Ron Goldman 002 (Comput. Graph., 2004)

Using Invariants To Extract Geometric Characteristics Of Conic Sections From Rational Quadratic Parameterizations. - Ronald N. Goldman; Wenping Wang 001 (Int. J. Comput. Geom. Appl., 2004)

05221 Report of the Dagstuhl seminar on - Geometric Modelling. - Stefanie Hahmann; Guido Brunnett; Gerald E. Farin; Ron Goldman 002 (Geometric Modeling, 2005)

Subdivision Schemes and Attractors. - Scott Schaefer; David Levin; Ron Goldman 002 (Symposium on Geometry Processing, 2005)

Improving conformational searches by geometric screening. - Ming Zhang; R. Allen White; Liqun Wang; Ronald N. Goldman; Lydia E. Kavraki; Brendan Hassett (Bioinform., 2005)

Curvature formulas for implicit curves and surfaces. - Ron Goldman 002 (Comput. Aided Geom. Des., 2005)

Algebraic geometry and geometric modeling: insight and computation. - Ron Goldman 002 (Algebraic Geometry and Geometric Modeling, 2006)

Bézier Subdivision for Inverse Molecular Kinematics. - Ming Zhang; Liqun Wang; Ronald N. Goldman (Int. J. Comput. Geom. Appl., 2006)

Axial moving lines and singularities of rational planar curves. - Ning Song; Falai Chen; Ron Goldman 002 (Comput. Aided Geom. Des., 2007)

Editorial: Special issue on Geometric Modeling (Dagstuhl 2005). - Stefanie Hahmann; Guido Brunnett; Gerald E. Farin; Ron Goldman 002 (Computing, 2007)

Two blossoming proofs of the Lane-Riesenfeld algorithm. - Etienne Vouga; Ron Goldman 002 (Computing, 2007)

After the revolution: Geometric algebra for Computer Scientists in the twenty-first century. - Ron Goldman 002 (Comput. Aided Des., 2008)

Division algorithms for Bernstein polynomials. - Laurent Busé; Ron Goldman 002 (Comput. Aided Geom. Des., 2008)

Nonlinear subdivision through nonlinear averaging. - Scott Schaefer; Etienne Vouga; Ron Goldman 002 (Comput. Aided Geom. Des., 2008)

On the smoothness of real-valued functions generated by subdivision schemes using nonlinear binary averaging. - Ron Goldman 002; Etienne Vouga; Scott Schaefer (Comput. Aided Geom. Des., 2009)

µ-Bases and singularities of rational planar curves. - Xiaohong Jia 001; Ron Goldman 002 (Comput. Aided Geom. Des., 2009)

Non-uniform subdivision for B-splines of arbitrary degree. - Scott Schaefer; Ron Goldman 002 (Comput. Aided Geom. Des., 2009)

mu-bases for polynomial systems in one variable. - Ning Song; Ron Goldman 002 (Comput. Aided Geom. Des., 2009)

Axial moving planes and singularities of rational space curves. - Haohao Wang; Xiaohong Jia 001; Ron Goldman 002 (Comput. Aided Geom. Des., 2009)

Using Smith Normal Forms and mu-Bases to Compute all the Singularities of Rational Planar Curves - Xiaohong Jia 001; Ron Goldman 002 (CoRR, 2010)

Set-theoretic generators of rational space curves. - Xiaohong Jia 001; Haohao Wang; Ron Goldman 002 (J. Symb. Comput., 2010)

Rethinking Quaternions - Ron Goldman 002 (Morgan & Claypool Publishers, 2010)

A Homogeneous Model for Three-Dimensional Computer Graphics Based on the Clifford Algebra for ℝ3. - Ron Goldman 002 (Guide to Geometric Algebra in Practice, 2011)

h-Blossoming: A new approach to algorithms and identities for h-Bernstein bases and h-Bézier curves. - Plamen Simeonov; Vasilis Zafiris; Ron Goldman 002 (Comput. Aided Geom. Des., 2011)

Understanding quaternions. - Ron Goldman 002 (Graph. Model., 2011)

Convergence and Smoothness of Nonlinear Lane-Riesenfeld Algorithms in the Functional Setting. - Nira Dyn; Ron Goldman 002 (Found. Comput. Math., 2011)

Generating Functions for Uniform B-Splines. - Ron Goldman 002 (MMCS, 2012)

Using Smith normal forms and μ-bases to compute all the singularities of rational planar curves. - Xiaohong Jia 001; Ron Goldman 002 (Comput. Aided Geom. Des., 2012)

Implicitizing rational surfaces of revolution using μ-bases. - Xiaoran Shi; Ron Goldman 002 (Comput. Aided Geom. Des., 2012)

Using μ-bases to implicitize rational surfaces with a pair of orthogonal directrices. - Xiaoran Shi; Xuhui Wang; Ron Goldman 002 (Comput. Aided Geom. Des., 2012)

Formulas and algorithms for quantum differentiation of quantum Bernstein bases and quantum Bézier curves based on quantum blossoming. - Ron Goldman 002; Plamen Simeonov (Graph. Model., 2012)

q-Blossoming: A new approach to algorithms and identities for q-Bernstein bases and q-Bézier curves. - Plamen Simeonov; Vasilis Zafiris; Ron Goldman 002 (J. Approx. Theory, 2012)

μ-Bases for complex rational curves. - Xuhui Wang; Ron Goldman 002 (Comput. Aided Geom. Des., 2013)

Modeling perspective projections in 3-dimensions by rotations in 4-dimensions. - Ron Goldman 002 (Graph. Model., 2013)

Using a bihomogeneous resultant to find the singularities of rational space curves. - Xiaoran Shi; Xiaohong Jia 001; Ron Goldman 002 (J. Symb. Comput., 2013)

Corrigendum to Example 4 in "μ-Bases for complex rational curves" [Computer Aided Geometric Design 30 (2013), 623-635]. - Xuhui Wang; Ron Goldman 002 (Comput. Aided Geom. Des., 2014)

Generating Functions for the q-Bernstein Bases. - Ron Goldman 002; Plamen Simeonov; Yilmaz Simsek (SIAM J. Discret. Math., 2014)

Best polynomial degree reduction on q-lattices with applications to q-orthogonal polynomials. - Rachid Ait-Haddou; Ron Goldman 002 (Appl. Math. Comput., 2015)

Complex μ-bases for real quadric surfaces. - Ron Goldman 002; Thomas W. Sederberg; Xuhui Wang (Comput. Aided Geom. Des., 2015)

Quaternion rational surfaces: Rational surfaces generated from the quaternion product of two rational space curves. - Xuhui Wang; Ron Goldman 002 (Graph. Model., 2015)

A unifying structure for polar forms and for Bernstein Bézier curves. - Çetin Disibüyük; Ron Goldman 002 (J. Approx. Theory, 2015)

Quantum Bernstein bases and quantum Bézier curves. - Ron Goldman 002; Plamen Simeonov (J. Comput. Appl. Math., 2015)

Extending fundamental formulas from classical B-splines to quantum B-splines. - Gülter Budakçi; Çetin Disibüyük; Ron Goldman 002; Halil Oruç (J. Comput. Appl. Math., 2015)

Generating a 3D Normative Infant Cranial Model. - Binhang Yuan; Ronald N. Goldman; Eric Wang; Olushola Olorunnipa; David Khechoyan (ICCS, 2016)

Generalized quantum splines. - Ron Goldman 002; Plamen Simeonov (Comput. Aided Geom. Des., 2016)

Two additional advantages of complex μ-bases for non-ruled real quadric surfaces. - Ron Goldman 002; Xuhui Wang (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)

Explicit μ-bases for conic sections and planar rational cubic curves. - Xuhui Wang; Ron Goldman 002; Thomas W. Sederberg (Comput. Aided Geom. Des., 2016)

Algebraic surfaces invariant under scissor shears. - Juan Gerardo Alcázar; Ron Goldman 002; Carlos Hermoso (Graph. Model., 2016)

Novel polynomial Bernstein bases and Bézier curves based on a general notion of polynomial blossoming. - Ron Goldman 002; Plamen Simeonov (Numer. Algorithms, 2016)

Finding the Axis of Revolution of an Algebraic Surface of Revolution. - Juan Gerardo Alcázar; Ron Goldman 002 (IEEE Trans. Vis. Comput. Graph., 2016)

Building Fractals with a Robot Swarm. - Yu Zhou; Ron Goldman 002 (ICSI (2), 2017)

Algorithms for computing strong μ-bases for rational tensor product surfaces. - Li-Yong Shen; Ron Goldman 002 (Comput. Aided Geom. Des., 2017)

Shape preserving properties of univariate Lototsky-Bernstein operators. - Xiao-Wei Xu 007; Xiao-Ming Zeng; Ron Goldman 002 (J. Approx. Theory, 2017)

An Asymmetric Distributed Method for Sorting a Robot Swarm. - Yu Zhou 027; Ron Goldman 002; James McLurkin (IEEE Robotics Autom. Lett., 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 002 (SIAM J. Appl. Algebra Geom., 2017)

Implicitizing Rational Tensor Product Surfaces Using the Resultant of Three Moving Planes. - Li-Yong Shen; Ron Goldman 002 (ACM Trans. Graph., 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 002 (IEEE Trans. Vis. Comput. Graph., 2017)

Combining complementary methods for implicitizing rational tensor product surfaces. - Li-Yong Shen; Ron Goldman 002 (Comput. Aided Des., 2018)

Implicitizing ruled translational surfaces. - Haohao Wang; Ron Goldman 002 (Comput. Aided Geom. Des., 2018)

de Boor-suitable (DS) T-splines. - Yang Zhang; Visit Pataranutaporn; Ron Goldman 002 (Graph. Model., 2018)

Syzygies for translational surfaces. - Haohao Wang; Ron Goldman 002 (J. Symb. Comput., 2018)

Using Dual Quaternion to Study Translational Surfaces. - Haohao Wang; Ron Goldman 002 (Math. Comput. Sci., 2018)

High order smoothness of non-linear Lane-Riesenfeld algorithms in the functional setting. - Nira Dyn; Ron Goldman 002; David Levin (Comput. Aided Geom. Des., 2019)

Representing rational curve segments and surface patches using semi-algebraic sets. - Li-Yong Shen; Sonia Pérez-Díaz; Ron Goldman 002; Yifei Feng 001 (Comput. Aided Geom. Des., 2019)

On Lototsky-Bernstein operators and Lototsky-Bernstein bases. - Xiao-Wei Xu 007; Ron Goldman 002 (Comput. Aided Geom. Des., 2019)

Limits of Sums for Binomial and Eulerian Numbers and their Associated Distributions. - Meng Li; Ron Goldman 002 (CoRR, 2019)

Surfaces of revolution with moving axes and angles. - Haohao Wang; Ron Goldman 002 (Graph. Model., 2019)

Rational curves over generalized complex numbers. - Juan Du; Ron Goldman 002; Xuhui Wang (J. Symb. Comput., 2019)

q-Blossoming for analytic functions. - Ron Goldman 002; Plamen Simeonov (Numer. Algorithms, 2019)

Recognizing algebraic affine rotation surfaces. - Juan Gerardo Alcázar; Ron Goldman 002 (Comput. Aided Geom. Des., 2020)

Limits of sums for binomial and Eulerian numbers and their associated distributions. - Meng Li 002; Ron Goldman 002 (Discret. Math., 2020)

Ruled Surfaces of Revolution with Moving Axes and Angles. - Haohao Wang; Ron Goldman 002 (Int. J. Comput. Geom. Appl., 2021)

On the uniqueness of the multirational blossom. - O. Ogulcan Tuncer; Plamen Simeonov; Ron Goldman 002 (Comput. Aided Geom. Des., 2023)

Subdivision algorithms with modular arithmetic. - Ron Goldman 002 (Comput. Aided Geom. Des., 2024)

Physical insights from complex multiscale non-linear system dynamics: Identification of fast and slow variables. - Dimitris M. Manias; Ronald N. Goldman; Dimitris A. Goussis (Commun. Nonlinear Sci. Numer. Simul., 2025)

h-Trigonometric B-splines. - Fatma Zürnaci-Yetis; Ron Goldman 002; Plamen Simeonov (CoRR, 2025)