Title
Bézier Triangles with G2 Continuity across Boundaries.
Abstract
PN (point-normal) triangles are cubic Bezier triangles which meet at their edges to surface a triangular mesh, but this only achieves G0 continuity. We define blending regions that span the edges shared by adjacent pairs of triangular domains and blend the corresponding Bezier triangles using a univariate blending function formulated in terms of barycentric coordinates. This produces G2 continuity across boundaries while preserving G1 continuity at vertices. The sharpness of the blends can be controlled locally by varying the extent of these blending regions. We demonstrate the effectiveness of our technique by showing several modeling examples.
Year
Venue
Field
2016
Symmetry
Combinatorics,Vertex (geometry),Geometric modeling,Barycentric coordinates,Bézier curve,Bézier triangle,Univariate,Mathematics,Triangle mesh
DocType
Volume
Issue
Journal
8
3
Citations 
PageRank 
References 
1
0.37
9
Authors
3
Name
Order
Citations
PageRank
Changki Lee127926.18
Hae-Do Hwang251.48
Seung-hyun Yoon316026.47