Ron Goldman

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 30

Top Topics

Invariant Representation

Top Venues

Comput. Aided Geom. Des.

J. Approx. Theory

Numer. Algorithms

Publications

Ron Goldman
Subdivision algorithms with modular arithmetic. Comput. Aided Geom. Des. 108 (2024)
O. Ogulcan Tuncer, Plamen Simeonov, Ron Goldman
On the uniqueness of the multirational blossom. Comput. Aided Geom. Des. 107 (2023)
Haohao Wang, Ron Goldman
Ruled Surfaces of Revolution with Moving Axes and Angles. Int. J. Comput. Geom. Appl. 31 (2-3) (2021)
Meng Li, Ron Goldman
Limits of sums for binomial and Eulerian numbers and their associated distributions. Discret. Math. 343 (7) (2020)
Juan Gerardo Alcázar, Ron Goldman
Recognizing algebraic affine rotation surfaces. Comput. Aided Geom. Des. 81 (2020)
Nira Dyn, Ron Goldman, David Levin
High order smoothness of non-linear Lane-Riesenfeld algorithms in the functional setting. Comput. Aided Geom. Des. 71 (2019)
Meng Li, Ron Goldman
Limits of Sums for Binomial and Eulerian Numbers and their Associated Distributions. CoRR (2019)
Xiao-Wei Xu, Ron Goldman
On Lototsky-Bernstein operators and Lototsky-Bernstein bases. Comput. Aided Geom. Des. 68 (2019)
Haohao Wang, Ron Goldman
Surfaces of revolution with moving axes and angles. Graph. Model. 106 (2019)
Juan Du, Ron Goldman, Xuhui Wang
Rational curves over generalized complex numbers. J. Symb. Comput. 93 (2019)
Ron Goldman, Plamen Simeonov
q-Blossoming for analytic functions. Numer. Algorithms 82 (1) (2019)
Li-Yong Shen, Sonia Pérez-Díaz, Ron Goldman, Yifei Feng
Representing rational curve segments and surface patches using semi-algebraic sets. Comput. Aided Geom. Des. 74 (2019)
Haohao Wang, Ron Goldman
Using Dual Quaternion to Study Translational Surfaces. Math. Comput. Sci. 12 (1) (2018)
Haohao Wang, Ron Goldman
Syzygies for translational surfaces. J. Symb. Comput. 89 (2018)
Li-Yong Shen, Ron Goldman
Combining complementary methods for implicitizing rational tensor product surfaces. Comput. Aided Des. 104 (2018)
Haohao Wang, Ron Goldman
Implicitizing ruled translational surfaces. Comput. Aided Geom. Des. 59 (2018)
Yang Zhang, Visit Pataranutaporn, Ron Goldman
de Boor-suitable (DS) T-splines. Graph. Model. 97 (2018)
Juan Gerardo Alcázar, Ron Goldman
Detecting When an Implicit Equation or a Rational Parametrization Defines a Conical or Cylindrical Surface, or a Surface of Revolution. IEEE Trans. Vis. Comput. Graph. 23 (12) (2017)
Yu Zhou, Ron Goldman, James McLurkin
An Asymmetric Distributed Method for Sorting a Robot Swarm. IEEE Robotics Autom. Lett. 2 (1) (2017)
Xiao-Wei Xu, Xiao-Ming Zeng, Ron Goldman
Shape preserving properties of univariate Lototsky-Bernstein operators. J. Approx. Theory 224 (2017)
Yu Zhou, Ron Goldman
Building Fractals with a Robot Swarm. ICSI (2) (2017)
Li-Yong Shen, Ron Goldman
Algorithms for computing strong μ-bases for rational tensor product surfaces. Comput. Aided Geom. Des. 52 (2017)
Li-Yong Shen, Ron Goldman
Strong μ-Bases for Rational Tensor Product Surfaces and Extraneous Factors Associated to Bad Base Points and Anomalies at Infinity. SIAM J. Appl. Algebra Geom. 1 (1) (2017)
Li-Yong Shen, Ron Goldman
Implicitizing Rational Tensor Product Surfaces Using the Resultant of Three Moving Planes. ACM Trans. Graph. 36 (5) (2017)
Juan Gerardo Alcázar, Ron Goldman
Finding the Axis of Revolution of an Algebraic Surface of Revolution. IEEE Trans. Vis. Comput. Graph. 22 (9) (2016)
Ron Goldman, Plamen Simeonov
Generalized quantum splines. Comput. Aided Geom. Des. 47 (2016)
Ron Goldman, Xuhui Wang
Two additional advantages of complex μ-bases for non-ruled real quadric surfaces. Comput. Aided Geom. Des. 42 (2016)
Ron Goldman, Plamen Simeonov
Novel polynomial Bernstein bases and Bézier curves based on a general notion of polynomial blossoming. Numer. Algorithms 72 (3) (2016)
Xuhui Wang, Ron Goldman, Thomas W. Sederberg
Explicit μ-bases for conic sections and planar rational cubic curves. Comput. Aided Geom. Des. 41 (2016)
Juan Gerardo Alcázar, Ron Goldman, Carlos Hermoso
Algebraic surfaces invariant under scissor shears. Graph. Model. 87 (2016)
Ron Goldman, Plamen Simeonov
Quantum Bernstein bases and quantum Bézier curves. J. Comput. Appl. Math. 288 (2015)
Xuhui Wang, Ron Goldman
Quaternion rational surfaces: Rational surfaces generated from the quaternion product of two rational space curves. Graph. Model. 81 (2015)
Rachid Ait-Haddou, Ron Goldman
Best polynomial degree reduction on q-lattices with applications to q-orthogonal polynomials. Appl. Math. Comput. 266 (2015)
Ron Goldman, Thomas W. Sederberg, Xuhui Wang
Complex μ-bases for real quadric surfaces. Comput. Aided Geom. Des. 37 (2015)
Gülter Budakçi, Çetin Disibüyük, Ron Goldman, Halil Oruç
Extending fundamental formulas from classical B-splines to quantum B-splines. J. Comput. Appl. Math. 282 (2015)
Çetin Disibüyük, Ron Goldman
A unifying structure for polar forms and for Bernstein Bézier curves. J. Approx. Theory 192 (2015)
Xuhui Wang, Ron Goldman
Corrigendum to Example 4 in "μ-Bases for complex rational curves" [Computer Aided Geometric Design 30 (2013), 623-635]. Comput. Aided Geom. Des. 31 (5) (2014)
Ron Goldman, Plamen Simeonov, Yilmaz Simsek
Generating Functions for the q-Bernstein Bases. SIAM J. Discret. Math. 28 (3) (2014)
Xiaoran Shi, Xiaohong Jia, Ron Goldman
Using a bihomogeneous resultant to find the singularities of rational space curves. J. Symb. Comput. 53 (2013)
Xuhui Wang, Ron Goldman
μ-Bases for complex rational curves. Comput. Aided Geom. Des. 30 (7) (2013)
Ron Goldman
Modeling perspective projections in 3-dimensions by rotations in 4-dimensions. Graph. Model. 75 (2) (2013)
Xiaoran Shi, Ron Goldman
Implicitizing rational surfaces of revolution using μ-bases. Comput. Aided Geom. Des. 29 (6) (2012)
Ron Goldman
Generating Functions for Uniform B-Splines. MMCS (2012)
Ron Goldman, Plamen Simeonov
Formulas and algorithms for quantum differentiation of quantum Bernstein bases and quantum Bézier curves based on quantum blossoming. Graph. Model. 74 (6) (2012)
Xiaohong Jia, Ron Goldman
Using Smith normal forms and μ-bases to compute all the singularities of rational planar curves. Comput. Aided Geom. Des. 29 (6) (2012)
Xiaoran Shi, Xuhui Wang, Ron Goldman
Using μ-bases to implicitize rational surfaces with a pair of orthogonal directrices. Comput. Aided Geom. Des. 29 (7) (2012)
Plamen Simeonov, Vasilis Zafiris, Ron Goldman
q-Blossoming: A new approach to algorithms and identities for q-Bernstein bases and q-Bézier curves. J. Approx. Theory 164 (1) (2012)
Plamen Simeonov, Vasilis Zafiris, Ron Goldman
h-Blossoming: A new approach to algorithms and identities for h-Bernstein bases and h-Bézier curves. Comput. Aided Geom. Des. 28 (9) (2011)
Ron Goldman
Understanding quaternions. Graph. Model. 73 (2) (2011)
Nira Dyn, Ron Goldman
Convergence and Smoothness of Nonlinear Lane-Riesenfeld Algorithms in the Functional Setting. Found. Comput. Math. 11 (1) (2011)
Xiaohong Jia, Haohao Wang, Ron Goldman
Set-theoretic generators of rational space curves. J. Symb. Comput. 45 (4) (2010)
Xiaohong Jia, Ron Goldman
Using Smith Normal Forms and mu-Bases to Compute all the Singularities of Rational Planar Curves CoRR (2010)
Scott Schaefer, Ron Goldman
Non-uniform subdivision for B-splines of arbitrary degree. Comput. Aided Geom. Des. 26 (1) (2009)
Haohao Wang, Xiaohong Jia, Ron Goldman
Axial moving planes and singularities of rational space curves. Comput. Aided Geom. Des. 26 (3) (2009)
Xiaohong Jia, Ron Goldman
µ-Bases and singularities of rational planar curves. Comput. Aided Geom. Des. 26 (9) (2009)
Ning Song, Ron Goldman
mu-bases for polynomial systems in one variable. Comput. Aided Geom. Des. 26 (2) (2009)
Ron Goldman, Etienne Vouga, Scott Schaefer
On the smoothness of real-valued functions generated by subdivision schemes using nonlinear binary averaging. Comput. Aided Geom. Des. 26 (2) (2009)
Laurent Busé, Ron Goldman
Division algorithms for Bernstein polynomials. Comput. Aided Geom. Des. 25 (9) (2008)
Ron Goldman
After the revolution: Geometric algebra for Computer Scientists in the twenty-first century. Comput. Aided Des. 40 (5) (2008)
Scott Schaefer, Etienne Vouga, Ron Goldman
Nonlinear subdivision through nonlinear averaging. Comput. Aided Geom. Des. 25 (3) (2008)
Stefanie Hahmann, Guido Brunnett, Gerald E. Farin, Ron Goldman
Editorial: Special issue on Geometric Modeling (Dagstuhl 2005). Computing 79 (2-4) (2007)
Etienne Vouga, Ron Goldman
Two blossoming proofs of the Lane-Riesenfeld algorithm. Computing 79 (2-4) (2007)
Ning Song, Falai Chen, Ron Goldman
Axial moving lines and singularities of rational planar curves. Comput. Aided Geom. Des. 24 (4) (2007)
Scott Schaefer, David Levin, Ron Goldman
Subdivision Schemes and Attractors. Symposium on Geometry Processing (2005)
Ron Goldman
Curvature formulas for implicit curves and surfaces. Comput. Aided Geom. Des. 22 (7) (2005)
Stefanie Hahmann, Guido Brunnett, Gerald E. Farin, Ron Goldman
05221 Report of the Dagstuhl seminar on - Geometric Modelling. Geometric Modeling (2005)
Tao Ju, Scott Schaefer, Ron Goldman
Recursive turtle programs and iterated affine transformations. Comput. Graph. 28 (6) (2004)
Amit Khetan, Ning Song, Ron Goldman
Sylvester-resultants for bivariate polynomials with planar newton polygons. ISSAC (2004)
Ron Goldman, Scott Schaefer, Tao Ju
Turtle geometry in computer graphics and computer-aided design. Comput. Aided Des. 36 (14) (2004)
Ron Goldman
Deriving Linear Transformations in Three Dimensions. IEEE Computer Graphics and Applications 23 (3) (2003)
Ron Goldman
Computer Graphics in its Fifth Decade: Ferment at the Foundations. PG (2003)
Tao Ju, Ron Goldman
Morphing Rational B-spline Curves and Surfaces Using Mass Distributions. Eurographics (Short Presentations) (2003)
Ron Goldman
On the algebraic and geometric foundations of computer graphics. ACM Trans. Graph. 21 (1) (2002)
Ron Goldman
Baseball Arithmetic and the Laws of Pseudoperspective. IEEE Computer Graphics and Applications 21 (2) (2001)
Ron Goldman
The Ambient Spaces of Computer Graphics and Geometric Modeling. IEEE Computer Graphics and Applications 20 (2) (2000)
Ron Goldman
The rational Bernstein bases and the multirational blossoms. Comput. Aided Geom. Des. 16 (8) (1999)
Ron Goldman
Blossoming and Divided Difference. Geometric Modelling (1999)
Ron Goldman
Blossoming with cancellation. Comput. Aided Geom. Des. 16 (7) (1999)
Suresh K. Lodha, Ron Goldman
A unified approach to evaluation algorithms for multivariate polynomials. Math. Comput. 66 (220) (1997)
Thomas W. Sederberg, Ron Goldman, Hang Du
Implicitizing Rational Curves by the Method of Moving Algebraic Curves. J. Symb. Comput. 23 (2/3) (1997)
Suresh K. Lodha, Ron Goldman
Change of basis algorithms for surfaces in CAGD. Comput. Aided Geom. Des. 12 (8) (1995)
Ron Goldman, Joe D. Warren
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. CVGIP Graph. Model. Image Process. 55 (4) (1993)
Ron Goldman, Joe D. Warren
An Extension of Chaiken's Algorithm to B-Spline Curves with Knots in Geometric Progression. CVGIP Graph. Model. Image Process. 55 (1) (1993)