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Title: Interpolating multiple intersecting curves using catmull-clark subdivision surfaces
Authors: Abbas, Abdulwahed
Nasri, Ahmad H
Affiliations: Department of Computer Science 
Keywords: Catmull-Clark Subdivision Surfaces
Polygonal Complexes
Curve Interpolation
Issue Date: 2004
Part of: Journal of computer-aided design and applications
Volume: 1
Issue: 1-4
Start page: 25
End page: 32
The problem of constructing a smooth subdivision surface interpolating multiple intersecting curves was partially addressed in the literature. In the context of Doo-Sabin subdivision surfaces, Nasri[3] presented a solution to interpolate unlimited number of curves through an extraordinary point. In the Catmull-Clark setting, no more than two intersecting curves could so far be interpolated. That is, the interpolation of multiple intersecting curves remains a non-trivial and elusive problem. This paper puts forth a solution to this problem. The solution relies in a fundamental way on the by-now well-known notion of Catmull-Clark Polygonal Complexes introduced in [5].
This paper was presented in " Proceedings of 4th Annual International CAD Conference, Pattaya Beach, Thailand, May 24-28, 2004. ".
DOI: 10.3722/cadaps.2004.25-32
Ezproxy URL: Link to full text
Type: Journal Article
Appears in Collections:Department of Computer Science

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