2026 Ron Goldman: Mathematics Researcher – H-Index, Publications & Awards

Overview

Ron Goldman is affiliated with Rice University in the United States. Their research spans multiple fields, primarily focusing on computer science, mathematics, and engineering. This multidisciplinary approach is reflected in their contributions to both theoretical and applied areas of study.

The main fields of study covered by their work include:

Computer Science
Mathematics
Engineering

Within these broader fields, their research touches on several subfields such as:

Computational Mechanics
Computational Theory and Mathematics
Applied Mathematics
Computer Vision and Pattern Recognition
Algebra and Number Theory

Goldman's contributions address various advanced topics, including:

Advanced Numerical Analysis Techniques
Polynomial and algebraic computation
Mathematical functions and polynomials
Advanced Mathematical Identities
Computational Geometry and Mesh Generation
Advanced Combinatorial Mathematics
Advanced Statistical Methods and Models

The scientist has collaborated frequently with several colleagues. Regular coauthors include:

Plamen Simeonov
O. Oğulcan Tuncer
Meng Li
Juan Gerardo Alcázar
Fatma Zünacı

Goldman's publications have appeared in a variety of venues, with significant contributions to:

Computer Aided Geometric Design
Filomat
Discrete Mathematics
Mathematics
Applied Numerical Mathematics

Recent papers authored or co-authored by Goldman include:

On the uniqueness of the multirational blossom, 2023, Computer Aided Geometric Design
Limits of sums for binomial and Eulerian numbers and their associated distributions, 2020, Discrete Mathematics
Recognizing algebraic affine rotation surfaces, 2020, Computer Aided Geometric Design
Relationships between identities for quantum Bernstein bases and formulas for hypergeometric series, 2020, Filomat
Birational Quadratic Planar Maps with Generalized Complex Rational Representations, 2023, Mathematics

Best Publications

Curvature formulas for implicit curves and surfaces

Ron Goldman

494
Citations
Implicit representation of parametric curves and surfaces

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

449
Citations
Pyramid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling

Ron Goldman

171
Citations
On the Validity of Implicitization by Moving Quadrics for Rational Surfaces with No Base Points

David Cox;Ronald Goldman;Ming Zhang

149
Citations
Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves

R. N. Goldman;T. W. Sederberg;D. C. Anderson

149
Citations
Functional composition algorithms via blossoming

Tony D. DeRose;Ronald N. Goldman;Hans Hagen;Stephen Mann

138
Citations
Implicitizing rational curves by the method of moving algebraic curves

Tom Sederberg;Ron Goldman;Hang Du

114
Citations
Understanding quaternions

Ron Goldman

104
Citations
Knot insertion and deletion algorithms for B-spline curves and surfaces

Ronald N. Goldman;Tom Lyche

100
Citations
A recursive evaluation algorithm for a class of Catmull-Rom splines

Phillip J. Barry;Ronald N. Goldman

93
Citations
An Integrated Introduction to Computer Graphics and Geometric Modeling

Ronald Goldman

89
Citations
Polya’s Urn Model and Computer Aided Geometric Design

Ronald N. Goldman

78
Citations
Geometric algorithms for detecting and calculating all conic sections in the intersection of any two natural quadric surfaces

James R. Miller;Ronald N. Goldman

74
Citations
Enhancing Levin's method for computing quadric-surface intersections

Wenping Wang;Ronald Goldman;Changhe Tu

73
Citations
Subdivision algorithms for Bézier triangles

Ronald N. Goldman

72
Citations
Implicitization, inversion, and intersection of planar rational cubic curves

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

68
Citations
AREA OF PLANAR POLYGONS AND VOLUME OF POLYHEDRA

Ronald N. Goldman

67
Citations
Computing quadric surface intersections based on an analysis of plane cubic curves

Wenping Wang;Barry Joe;Ronald Goldman

64
Citations
Fast Computation of the Bezout and Dixon Resultant Matrices

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

63
Citations
Topics in Algebraic Geometry and Geometric Modeling

Ron Goldman;Rimvydas Krasauskas

24
Citations

Frequent Co-Authors

Thomas W. Sederberg Brigham Young University

Scott Schaefer Texas A&M University

Tony DeRose University of Washington

Stephen Mann University of Bristol

Wenping Wang Texas A&M University

Tao Ju Washington University in St. Louis

Nira Dyn Tel Aviv University

Charles A. Micchelli University at Albany, State University of New York

David Levin Tel Aviv University

Tom Lyche University of Oslo

External Links

Personal website of Ron Goldman

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