Paper Info
Title
Exact And Approximate Representations Of Trimmed Surfaces With Nurbs And Bezier Surfaces
Abstract
A trimmed surface is usually represented as a parametric surface with a set of trimming curves. However, many CAD processes and algorithms cannot be applied to trimmed surfaces directly because of the complexity in manipulating trimmed surfaces. Moreover trimmed surfaces will create gaps between different trimmed surfaces. Thus it is desirable to represent a trimmed surface by a group of regular surfaces, such as NURBS or Bezier surfaces. The present paper provides an algorithm to split a trimmed NURBS surface into several NURBS or Bezier surfaces. The surface patches which domains are far away from the trimming curves coincide with the given trimmed NURBS surface and the patches which domains are close to the trimming curves are represented with high degree Bezier surface patches (exact) or bi-cubic B-spline surfaces (approximate). The algorithm is simple, efficient and easy to implement. Compared with previous approaches ([1] and [3]), the new algorithm doesn't change the parameterization of most regions and is easy to maintain the continuity. Since our algorithm can keep most of the patches unchanged, most of the surface patches will be C-2 continuous. Furthermore, the surface patches can be locally merged to be G(1) in the neighbor of trimming curves which is very difficult for those in [1] and [3].
Year
DOI
Venue
2009
10.1109/CADCG.2009.5246888
2009 11TH IEEE INTERNATIONAL CONFERENCE ON COMPUTER-AIDED DESIGN AND COMPUTER GRAPHICS, PROCEEDINGS
Keywords
Field
DocType
Trimmed surface, NURBS, Bezier surface, topologically inconsistent, intersection
Parametric surface,Spline (mathematics),Surface reconstruction,Computer science,Computational geometry,Bézier surface,Bézier curve,Geometry,T-spline,Trimming
Conference
Volume
Issue
Citations 
null
null
4
PageRank 
References 
Authors
0.41
6
2
Name
Order
Citations
PageRank
Xin Li 00211727.51
Falai Chen240332.47