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Title: T-spline polygonal complexes
Authors: Abbas, Abdulwahed
Affiliations: Department of Computer Science 
Keywords: B-spline
Polygonal Complexes
T-spline surfaces
Issue Date: 2015
Part of: Journal of computer-aided design and applications
Volume: 12
Issue: 4
Start page: 465
End page: 474
The notion of polygonal complexes was originally conceived as a means for exact interpolation of uniform B-spline curves by Doo-Sabin (and later on by Catmull-Clark) subdivision surfaces. Starting from the theoretical origin of these complexes, this paper provides a general formulation of this notion that covers all quad-based (uniform/non-uniform) B-spline as well as NURBS surfaces. This formulation is generalized even further to cope with the extra-requirements brought about in the context of T-spline surfaces while, at the same time, maintaining previous formulations as particular instances of that.
DOI: 10.1080/16864360.2014.997643
Ezproxy URL: Link to full text
Type: Journal Article
Appears in Collections:Department of Computer Science

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