4-27国家数学与交叉科学中心合肥分中心报告【Ron Goldman】

发布者:系统管理员发布时间:2017-04-24浏览次数:24


报告题目:Four Open Mathematical Problems Related to Computer Graphics and Geometric Modeling Curves

报告人: Ron Goldman, Department of Computer Science, Rice University

报告时间:4月27日(周四)下午2:30-3:30

报告地点:1218

摘要:
Four unsolved problems that originate from research in Computer Graphics and Geometric Modeling will be presented. The first problem involves understanding the notion oscillation for Bezier surfaces, the freeform polynomial surfaces most common in Computer Graphics and Geometric Modeling. The second problem concerns gnerating smooth (C2) surfaces via subdivision from triangular or quadrilateral meshes of arbitrary topology. The third problem is related to Bezier curves and univariate Bernstein polynomials, and concerns the combinatorics of symmetrizing multiaffine functions. The fourth and final problem pertains to fractals and asks if there is an algorithm to determine whether two arbitrary sets of contractive affine transformations generate the same fractal.