Title
Converting a CAD model into a non-uniform subdivision surface.
Abstract
CAD models generally consist of multiple NURBS patches, both trimmed and untrimmed. There is a long-standing challenge that trimmed NURBS patches cause unavoidable gaps in the model. We address this by converting multiple NURBS patches to a single untrimmed NURBS-compatible subdivision surface in a three stage process. First, for each patch, we generate in domain space a quadrangulation that follows boundary edges of the patch and respects the knot spacings along edges. Second, the control points of the corresponding subdivision patch are computed in model space. Third, we merge the subdivision patches across their common boundaries to create a single subdivision surface. The converted model is gap-free and can maintain inter-patch continuity up to C 2 . We address the unavoidable gaps in trimmed NURBS by converting them to subdivision.A CAD model of multiple NURBS patches is converted to a subdivision control mesh.The result is a gap-free subdivision surface that approximates the input shape.The chosen non-uniform quadrilateral subdivision is NURBS-compatible.It can match exactly any untrimmed NURBS patch and patch edges curves.
Year
DOI
Venue
2016
10.1016/j.cagd.2016.07.003
Computer Aided Geometric Design
Keywords
Field
DocType
CAD model,Trimmed NURBS,Non-uniform subdivision
CAD,Subdivision surface,Subdivision,Quadrilateral,Geometry,T-spline,Merge (version control),Knot (unit),Mathematics
Journal
Volume
Issue
ISSN
48
C
0167-8396
Citations 
PageRank 
References 
2
0.45
37
Authors
4
Name
Order
Citations
PageRank
JingJing Shen181.97
Jirí Kosinka28417.76
Malcolm A. Sabin335860.06
Neil A. Dodgson472354.20