Ron Goldman

89 papers B 2Misc 1Journal 76Unranked 5
YearRankTypeTitle / Venue / Authors
2025 J jnl
h-Trigonometric B-splines.
CoRR
Fatma Zürnaci-Yetis, Ron Goldman, Plamen Simeonov
2024 J jnl
Subdivision algorithms with modular arithmetic.
Comput. Aided Geom. Des.
Ron Goldman
2023 J jnl
On the uniqueness of the multirational blossom.
Comput. Aided Geom. Des.
Orhan Ogulcan Tuncer, Plamen Simeonov, Ron Goldman
2021 J jnl
Ruled Surfaces of Revolution with Moving Axes and Angles.
Int. J. Comput. Geom. Appl.
Haohao Wang, Ron Goldman
2020 J jnl
Limits of sums for binomial and Eulerian numbers and their associated distributions.
Discret. Math.
Meng Li, Ron Goldman
2020 J jnl
Recognizing algebraic affine rotation surfaces.
Comput. Aided Geom. Des.
Juan Gerardo Alcázar, Ron Goldman
2019 J jnl
High order smoothness of non-linear Lane-Riesenfeld algorithms in the functional setting.
Comput. Aided Geom. Des.
Nira Dyn, Ron Goldman, David Levin
2019 J jnl
Limits of Sums for Binomial and Eulerian Numbers and their Associated Distributions.
CoRR
Meng Li, Ron Goldman
2019 J jnl
On Lototsky-Bernstein operators and Lototsky-Bernstein bases.
Comput. Aided Geom. Des.
Xiao-Wei Xu, Ron Goldman
2019 J jnl
Rational curves over generalized complex numbers.
J. Symb. Comput.
Juan Du, Ron Goldman, Xuhui Wang
2019 J jnl
Representing rational curve segments and surface patches using semi-algebraic sets.
Comput. Aided Geom. Des.
Li-Yong Shen, Sonia Pérez-Díaz, Ron Goldman, Yifei Feng
2019 J jnl
Surfaces of revolution with moving axes and angles.
Graph. Model.
Haohao Wang, Ron Goldman
2019 J jnl
q-Blossoming for analytic functions.
Numer. Algorithms
Ron Goldman, Plamen Simeonov
2018 J jnl
Combining complementary methods for implicitizing rational tensor product surfaces.
Comput. Aided Des.
Li-Yong Shen, Ron Goldman
2018 J jnl
Implicitizing ruled translational surfaces.
Comput. Aided Geom. Des.
Haohao Wang, Ron Goldman
2018 J jnl
Syzygies for translational surfaces.
J. Symb. Comput.
Haohao Wang, Ron Goldman
2018 J jnl
Using Dual Quaternion to Study Translational Surfaces.
Math. Comput. Sci.
Haohao Wang, Ron Goldman
2018 J jnl
de Boor-suitable (DS) T-splines.
Graph. Model.
Yang Zhang, Visit Pataranutaporn, Ron Goldman
2017 J jnl
Algorithms for computing strong μ-bases for rational tensor product surfaces.
Comput. Aided Geom. Des.
Li-Yong Shen, Ron Goldman
2017 J jnl
An Asymmetric Distributed Method for Sorting a Robot Swarm.
IEEE Robotics Autom. Lett.
Yu Zhou, Ron Goldman, James McLurkin
2017 — conf
Building Fractals with a Robot Swarm.
ICSI (2)
Yu Zhou, Ron Goldman
2017 J jnl
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.
Juan Gerardo Alcázar, Ron Goldman
2017 J jnl
Implicitizing Rational Tensor Product Surfaces Using the Resultant of Three Moving Planes.
ACM Trans. Graph.
Li-Yong Shen, Ron Goldman
2017 J jnl
Shape preserving properties of univariate Lototsky-Bernstein operators.
J. Approx. Theory
Xiao-Wei Xu, Xiao-Ming Zeng, Ron Goldman
2017 J jnl
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.
Li-Yong Shen, Ron Goldman
2016 J jnl
Algebraic surfaces invariant under scissor shears.
Graph. Model.
Juan Gerardo Alcázar, Ron Goldman, Carlos Hermoso
2016 J jnl
Explicit μ-bases for conic sections and planar rational cubic curves.
Comput. Aided Geom. Des.
Xuhui Wang, Ron Goldman, Thomas W. Sederberg
2016 J jnl
Finding the Axis of Revolution of an Algebraic Surface of Revolution.
IEEE Trans. Vis. Comput. Graph.
Juan Gerardo Alcázar, Ron Goldman
2016 J jnl
Generalized quantum splines.
Comput. Aided Geom. Des.
Ron Goldman, Plamen Simeonov
2016 J jnl
Novel polynomial Bernstein bases and Bézier curves based on a general notion of polynomial blossoming.
Numer. Algorithms
Ron Goldman, Plamen Simeonov
2016 J jnl
Two additional advantages of complex μ-bases for non-ruled real quadric surfaces.
Comput. Aided Geom. Des.
Ron Goldman, Xuhui Wang
2015 J jnl
A unifying structure for polar forms and for Bernstein Bézier curves.
J. Approx. Theory
Çetin Disibüyük, Ron Goldman
2015 J jnl
Best polynomial degree reduction on q-lattices with applications to q-orthogonal polynomials.
Appl. Math. Comput.
Rachid Ait-Haddou, Ron Goldman
2015 J jnl
Complex μ-bases for real quadric surfaces.
Comput. Aided Geom. Des.
Ron Goldman, Thomas W. Sederberg, Xuhui Wang
2015 J jnl
Extending fundamental formulas from classical B-splines to quantum B-splines.
J. Comput. Appl. Math.
Gülter Budakçi, Çetin Disibüyük, Ron Goldman, Halil Oruç
2015 J jnl
Quantum Bernstein bases and quantum Bézier curves.
J. Comput. Appl. Math.
Ron Goldman, Plamen Simeonov
2015 J jnl
Quaternion rational surfaces: Rational surfaces generated from the quaternion product of two rational space curves.
Graph. Model.
Xuhui Wang, Ron Goldman
2014 J jnl
Corrigendum to Example 4 in "μ-Bases for complex rational curves" [Computer Aided Geometric Design 30 (2013), 623-635].
Comput. Aided Geom. Des.
Xuhui Wang, Ron Goldman
2014 J jnl
Generating Functions for the q-Bernstein Bases.
SIAM J. Discret. Math.
Ron Goldman, Plamen Simeonov, Yilmaz Simsek
2013 J jnl
Modeling perspective projections in 3-dimensions by rotations in 4-dimensions.
Graph. Model.
Ron Goldman
2013 J jnl
Using a bihomogeneous resultant to find the singularities of rational space curves.
J. Symb. Comput.
Xiaoran Shi, Xiaohong Jia, Ron Goldman
2013 J jnl
μ-Bases for complex rational curves.
Comput. Aided Geom. Des.
Xuhui Wang, Ron Goldman
2012 J jnl
Formulas and algorithms for quantum differentiation of quantum Bernstein bases and quantum Bézier curves based on quantum blossoming.
Graph. Model.
Ron Goldman, Plamen Simeonov
2012 — conf
Generating Functions for Uniform B-Splines.
MMCS
Ron Goldman
2012 J jnl
Implicitizing rational surfaces of revolution using μ-bases.
Comput. Aided Geom. Des.
Xiaoran Shi, Ron Goldman
2012 J jnl
Using Smith normal forms and μ-bases to compute all the singularities of rational planar curves.
Comput. Aided Geom. Des.
Xiaohong Jia, Ron Goldman
2012 J jnl
Using μ-bases to implicitize rational surfaces with a pair of orthogonal directrices.
Comput. Aided Geom. Des.
Xiaoran Shi, Xuhui Wang, Ron Goldman
2012 J jnl
q-Blossoming: A new approach to algorithms and identities for q-Bernstein bases and q-Bézier curves.
J. Approx. Theory
Plamen Simeonov, Vasilis Zafiris, Ron Goldman
2011 — ch.
A Homogeneous Model for Three-Dimensional Computer Graphics Based on the Clifford Algebra for ℝ
Guide to Geometric Algebra in Practice
Ron Goldman
2011 J jnl
Convergence and Smoothness of Nonlinear Lane-Riesenfeld Algorithms in the Functional Setting.
Found. Comput. Math.
Nira Dyn, Ron Goldman
2011 J jnl
Understanding quaternions.
Graph. Model.
Ron Goldman
2011 J jnl
h-Blossoming: A new approach to algorithms and identities for h-Bernstein bases and h-Bézier curves.
Comput. Aided Geom. Des.
Plamen Simeonov, Vasilis Zafiris, Ron Goldman
2010 — book
Rethinking Quaternions
Ron Goldman
2010 J jnl
Set-theoretic generators of rational space curves.
J. Symb. Comput.
Xiaohong Jia, Haohao Wang, Ron Goldman
2010 J jnl
Using Smith Normal Forms and mu-Bases to Compute all the Singularities of Rational Planar Curves
CoRR
Xiaohong Jia, Ron Goldman
2009 J jnl
Axial moving planes and singularities of rational space curves.
Comput. Aided Geom. Des.
Haohao Wang, Xiaohong Jia, Ron Goldman
2009 J jnl
Non-uniform subdivision for B-splines of arbitrary degree.
Comput. Aided Geom. Des.
Scott Schaefer, Ron Goldman
2009 J jnl
On the smoothness of real-valued functions generated by subdivision schemes using nonlinear binary averaging.
Comput. Aided Geom. Des.
Ron Goldman, Etienne Vouga, Scott Schaefer
2009 J jnl
mu-bases for polynomial systems in one variable.
Comput. Aided Geom. Des.
Ning Song, Ron Goldman
2009 J jnl
µ-Bases and singularities of rational planar curves.
Comput. Aided Geom. Des.
Xiaohong Jia, Ron Goldman
2008 J jnl
After the revolution: Geometric algebra for Computer Scientists in the twenty-first century.
Comput. Aided Des.
Ron Goldman
2008 J jnl
Division algorithms for Bernstein polynomials.
Comput. Aided Geom. Des.
Laurent Busé, Ron Goldman
2008 J jnl
Nonlinear subdivision through nonlinear averaging.
Comput. Aided Geom. Des.
Scott Schaefer, Etienne Vouga, Ron Goldman
2007 J jnl
Axial moving lines and singularities of rational planar curves.
Comput. Aided Geom. Des.
Ning Song, Falai Chen, Ron Goldman
2007 J jnl
Editorial: Special issue on Geometric Modeling (Dagstuhl 2005).
Computing
Stefanie Hahmann, Guido Brunnett, Gerald E. Farin, Ron Goldman
2007 J jnl
Two blossoming proofs of the Lane-Riesenfeld algorithm.
Computing
Etienne Vouga, Ron Goldman
2006 — ch.
Algebraic geometry and geometric modeling: insight and computation.
Algebraic Geometry and Geometric Modeling
Ron Goldman
2005 — conf
05221 Report of the Dagstuhl seminar on - Geometric Modelling.
Geometric Modeling
Stefanie Hahmann, Guido Brunnett, Gerald E. Farin, Ron Goldman
2005 J jnl
Curvature formulas for implicit curves and surfaces.
Comput. Aided Geom. Des.
Ron Goldman
2005 — ed.
Geometric Modeling, 29.05. - 03.06.2005
Geometric Modeling
Stefanie Hahmann, Guido Brunnett, Gerald E. Farin, Ron Goldman
2005 B conf
Subdivision Schemes and Attractors.
Symposium on Geometry Processing
Scott Schaefer, David Levin, Ron Goldman
2004 J jnl
Recursive turtle programs and iterated affine transformations.
Comput. Graph.
Tao Ju, Scott Schaefer, Ron Goldman
2004 B conf
Sylvester-resultants for bivariate polynomials with planar newton polygons.
ISSAC
Amit Khetan, Ning Song, Ron Goldman
2004 J jnl
Turtle geometry in computer graphics and computer-aided design.
Comput. Aided Des.
Ron Goldman, Scott Schaefer, Tao Ju
2003 Misc conf
Computer Graphics in its Fifth Decade: Ferment at the Foundations.
PG
Ron Goldman
2003 J jnl
Deriving Linear Transformations in Three Dimensions.
IEEE Computer Graphics and Applications
Ron Goldman
2003 — conf
Morphing Rational B-spline Curves and Surfaces Using Mass Distributions.
Eurographics (Short Presentations)
Tao Ju, Ron Goldman
2002 J jnl
On the algebraic and geometric foundations of computer graphics.
ACM Trans. Graph.
Ron Goldman
2001 J jnl
Baseball Arithmetic and the Laws of Pseudoperspective.
IEEE Computer Graphics and Applications
Ron Goldman
2000 J jnl
The Ambient Spaces of Computer Graphics and Geometric Modeling.
IEEE Computer Graphics and Applications
Ron Goldman
1999 — conf
Blossoming and Divided Difference.
Geometric Modelling
Ron Goldman
1999 J jnl
Blossoming with cancellation.
Comput. Aided Geom. Des.
Ron Goldman
1999 J jnl
The rational Bernstein bases and the multirational blossoms.
Comput. Aided Geom. Des.
Ron Goldman
1997 J jnl
A unified approach to evaluation algorithms for multivariate polynomials.
Math. Comput.
Suresh K. Lodha, Ron Goldman
1997 J jnl
Implicitizing Rational Curves by the Method of Moving Algebraic Curves.
J. Symb. Comput.
Thomas W. Sederberg, Ron Goldman, Hang Du
1995 J jnl
Change of basis algorithms for surfaces in CAGD.
Comput. Aided Geom. Des.
Suresh K. Lodha, Ron Goldman
1994 — ch.
Knot Insertion Using Forward Differences.
Graphics Gems
Phillip J. Barry, Ron Goldman
1993 J jnl
An Extension of Chaiken's Algorithm to B-Spline Curves with Knots in Geometric Progression.
CVGIP Graph. Model. Image Process.
Ron Goldman, Joe D. Warren
1993 J jnl
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.
Ron Goldman, Joe D. Warren