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Title: Interpolating arbitrary networks of curves by catmull-clark subdivision surfaces
Authors: Abbas, Abdulwahed
Affiliations: Department of Computer Science 
Keywords: Cubic B-spline Curves
Doo-Sabin and Catmull-Clark Subdivision Surfaces
Polygonal Complexes
Curve Interpolation
Issue Date: 2006
Part of: Computer-aided design and applications
Volume: 3
Issue: 1-4
Start page: 505
End page: 512
This paper pursues an approach for the construction of smooth surfaces for geometric modeling and computer graphics (often referred to as lofting) that starts from a network of polygons representing a set of intersecting curves. The contribution of this paper is in (1) a new method for transforming the initial set of polygons to an equivalent set of polygonal complexes and (2) a new skinning algorithm that adds more vertices and edges thus completing the formation of the control polyhedron. When subdivided, this polyhedron converges on a smooth surface interpolating the initial set of input curves. The resulting surface is C2, except at points where the initial curves meet, where it is at least C1. The approach is modular, easy to understand and implement.
This paper was presented in " Proceedings of the 6th International CAD Conference and Exhibition, Phuket, Thailand, June 19-23, 2006 ".
DOI: 10.1080/16864360.2006.10738489
Ezproxy URL: Link to full text
Type: Journal Article
Appears in Collections:Department of Computer Science

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