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Title: Interpolating meshes of curves by Catmull-Clark subdivision surfaces with a shape parameter
Authors: Abbas, Abdulwahed
Nasri, Ahmad H
Affiliations: Department of Computer Science 
Keywords: Splines (mathematics)
Mesh generation
Computational geometry
Issue Date: 2006
Publisher: IEEE
Part of: Ninth International Conference on Computer Aided Design and Computer Graphics (CAD-CG'05)
Start page: 1
End page: 6
Conference: International Conference on Computer Aided Design and Computer Graphics (CAD-CG'05) (9th : 7-10 Dec. 2005 : Hong Kong, China) 
This paper presents a solution to the problem of constructing Catmull-Clark subdivision surfaces interpolating given meshes of cubic B-spline curves. The solution is supplemented by an account of the continuity of the constructed surfaces at and around the extraordinary points of the corresponding meshes. This is conducted through an analysis of the corresponding subdivision matrix, which comes in parameterized form, thus adding a degree of freedom to the process. This degree of freedom gives room for manipulating the quality of the resulting surface without violating the initial interpolation constraints.
Ezproxy URL: Link to full text
Type: Conference Paper
Appears in Collections:Department of Computer Science

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