We start the study of the problem of describing the double point locus of a bicubic surface. Our motivation is to determine, whether a real bicubic patch over the unit square will...
Previous parametric representations of smooth genus-zero surfaces require a collection of abutting patches (e.g. splines, NURBS, recursively subdivided polygons). We introduce a s...
Frank Losasso, Hugues Hoppe, Scott Schaefer, Joe D...
In this paper we disprove the belief widespread within the computer graphics community that Catmull-Clark subdivision surfaces cannot be evaluated directly without explicitly subd...
We complete and bring together two pairs of surface constructions that use polynomial pieces of degree (3,3) to associate a smooth surface with a mesh. The two pairs complement ea...
Abstract. This paper presents two automatic fairing algorithms for parametric C2 -continuous bi-cubic B-spline surfaces. The fairing method consists of a knot removal and knot rein...