Ron Goldman
Information
- Work address
- Department of Computer Science
6100 South Main
Rice University
Houston, Tx 77251-1892 - Office
- Duncan Hall 3116
- Work phone
- 713-348-5729
- Fax number
- 713-348-5930
- rng@cs.rice.edu
- Wife
- Jackie
- Daughter
- April
Research Interests
My current research interests lie in the mathematical representation, manipulation, and analysis of shape using computers. I am particularly interested in algorithms for polynomial and piecewise polynomial curves and surfaces, and I have investigated both parametrically and implicitly represented geometry. My current work includes research in computer aided geometric design, solid modeling, computer graphics, and splines. Click here for a short biography.Recent Publications
Here are some of my recent publications:Papers
- Non-Uniform Subdivision for B-splines of Arbitrary Degree, with S. Schaefer, to appear in Computer Aided Geometric Design.
- Division Algorithms for Bernstein Polynomials, with L. Buse, to appear in Computer Aided Geometric Design.
- Subdivision Schemes and Attractors, with S. Schaefer and D. Levin, Proceedings of Symposium on Geometric Processing (SGP) 2005, edited by M. Desbrun and H. Pottmann, Vienna, Austria, July 2005, pp. 171-180.
- Curvature Formulas for Implicit Curves and Surfaces, Special Issue of CAGD on Geometric Modeling and Differential Geometry (2005), Vol. 22, pp. 632-658.
- Recursive Turtle Programs and Iterated Affine Transformations, with T. Ju and S. Schaeffer, Computers and Graphics (2004), Vol. 28, pp. 991-1004.
- Toric Bezier Patches with Depth, with R. Drasauskas, Topics in Algebraic Geometry and Geometric Modeling, edited by R. Goldman and R. Krasauskas, AMS Contemporary Mathematics, Vol. 334, (2003), pp. 65-91.
- The Affine Invariant Analytic Blossom, with G. Morin, Computer Aided Geometric Design (2002), Vol. 19, pp. 621-623.
- On the Algebraic and Geometric Foundations of Computer Graphics, Transactions on Graphics (2002), Vol. 21, pp. 1-35.
- Baseball Arithmetic and the Laws of Pseudoperspective, IEEE Computer Graphics and Applications (2001), Vol. 21, pp. 70-78.
- On the Validity of Implicitization by Moving Quadrics for Rational Surfaces with No Base Points, with D. Cox and M. Zhang, Journal of Symbolic Computation (2000), Vol. 29, pp. 419-440.
Books
- Geometric Modeling, Dagstuhl 2002, S. Hahmann, G. Brunnett, G. Farin, and R. Goldman (eds.), Springer-Verlag, 2004.
- Topics in Algebraic Geometry and Geometric Modeling, co-edited with R. Krasauskas, AMS Contemporary Mathematics, Vol. 334, 2003.
- Pyramid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling, Morgan Kaufmann Publishers, Academic Press, San Diego, 2002.
- Knot Insertion and Deletion Algorithms for B-spline Curves and Surfaces, co-edited with Tom Lyche, SIAM, 1993.