75 search results - page 1 / 15 » On the geometry of parametrized bicubic surfaces |
68
Voted
JSC
2007
15 years 29 days 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...
116
Voted
SGP
2003
15 years 2 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...
102
Voted
SIGGRAPH
1998
ACM
15 years 5 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...
108
Voted
PG
2007
IEEE
15 years 7 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...
82
Voted
CAD
1998
Springer
15 years 24 days 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...