Algebraic geometry and geometric modeling: insight and computation -- Implicitization using approximation complexes -- Piecewise approximate implicitization: experiments using industrial data -- Computing with parameterized varieties -- Implicitization and Distance Bounds -- Singularities and their deformations: how they change the shape and view of objects -- Overview of topological properties of real algebraic surfaces -- Illustrating the classification of real cubic surfaces -- Bézier patches on almost toric surfaces -- On parametric surfaces of low degree in P3(C) -- On the intersection with revolution and canal surfaces -- A sampling algorithm computing self-intersections of parametric surfaces -- Elimination in generically rigid 3D geometric constraint systems -- Minkowski decomposition of convex lattice polygons -- Reducing the number of variables of a polynomial.