75 search results - page 1 / 15 » On the geometry of parametrized bicubic surfaces |
JSC
2007
13 years 5 months ago
2007
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...
SGP
2003
13 years 6 months ago
2003
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...
SIGGRAPH
1998
ACM
13 years 9 months ago
1998
ACM
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...
PG
2007
IEEE
13 years 11 months ago
2007
IEEE
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...
CAD
1998
Springer
13 years 5 months ago
1998
Springer
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...