Time: 9h00, 12/3/2014
Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: Given a parameterization of algebraic curves and surfaces in a projective space, we introduce and present  the implicit representation of these curves and surfaces which consists in the locus where the rank of a single matrix drops. Then, we illustrate the advantages of these representation by addressing several important problems of Computer Aided Geometric Design: The point-on-curve/surface, the inversion problems, the computation of singularities and the intersection problem.