2012-06-11
Prof. Ron Goldman gave a lecture named “The Role of Algebraic Geometry in Geometric Modeling” at AMSS on June.11, 2012 .
In his talk, he discussed past, present, and possible future contributions of algebraic geometric to advancing the goals of geometric modeling. Algebraic geometry and geometric modeling both deal with curves and surfaces generated by polynomial equations. Algebraic geometry investigates the theoretical properties of polynomial curves and surfaces; geometric modeling uses polynomial, piecewise polynomial, and rational curves and surfaces to build computer models of mechanical components and assemblies for industrial design and manufacture.
Ron Goldman is a professor of Computer Science at Rice University in Houston, Texas. He received his B.S. in Mathematics from the Massachusetts Institute of Technology in 1968 and his M.A. and Ph.D. in Mathematics from Johns Hopkins Universityin 1973. His current research interests lie in the mathematical representation, manipulation, and analysis of shape using computers. His work includes research in computer aided geometric design, solid modeling, computer graphics, polynomials and splines. He has published over a hundred articles in journals, books, and conference proceedings on these and related topics. Dr. Goldman is currently an Associate Editor of Computer Aided Geometric Design.