Paper Info
Title
Reconstruction of convergent G1 smooth B-spline surfaces
Abstract
Recently, there have been improvements on reconstruction of smooth B-spline surfaces of arbitrary topological type, but the most important problem of smoothly stitching B-spline surface patches (the continuity problem of B-spline surface patches) in surface reconstruction has not been solved in an effective way. Therefore, the motivation of this paper is to study how to better improve and control the continuity between adjacent B-spline surfaces.In this paper, we present a local scheme of constructing convergent G1 smooth bicubic B-spline surface patches with single interior knots over a given arbitrary quad partition of a polygonal model. Unlike previous work which only produces (non-controllable) toleranced G1 smooth B-spline surfaces, our algorithm generates convergent G1 smooth B-spline surfaces, which means the continuity of the B-spline surfaces tends to G1 smoothness as the number of control points increases. The most important feature of our algorithm is, in the meaning of convergent approximation order, the ability to control the continuity of B-spline surfaces within the given tolerance and capture the geometric details presented by the given data points.
Year
DOI
Venue
2004
10.1016/j.cagd.2004.08.001
Computer Aided Geometric Design
Keywords
DocType
Volume
G1 smoothness,Quad partition,adjacent B-spline surface,toleranced G,Surface fitting,convergent G,surface reconstruction,Polygonal mesh,Convergent geometric continuity,G1 smooth bicubic B-spline,smooth bicubic B-spline surface,B-spline surface,B-spline surface patching,smooth B-spline surface,B-spline surface patch,surface patch,continuity problem,control points increase
Journal
21
Issue
ISSN
Citations 
9
Computer Aided Geometric Design
12
PageRank 
References 
Authors
0.78
6
4
Name
Order
Citations
PageRank
Xiquan Shi19312.31
Tianjun Wang2667.04
Peiru Wu3161.20
Fengshan Liu47611.78