Speaker: Xiao-Ran Shi

Beijing Computational Science Research Center    

Abstract: The mu-bases of rational curves/surfaces are newly developed tools which play an important role in connecting parametric forms and implicit forms of rational curves/surfaces. Based on the existing research results of mu-bases for rational curves, we shall extend the theory of mu-bases to general rational surfaces. Develop efficient algorithms to compute mu-bases for general rational surfaces, and get the perfect algebraic and geometric properties. We shall present more applications of mu-bases in rational surfaces, such as: Compute the singularities, intersection curves and inflection points on the surfaces; Construct efficient algorithms to get the implicit equation for the rational surfaces; Get new proper parametric representations and so on.

Date&Time: May 17, 2013 (Friday), 14:30–15:30
Location: 606 Conference Room