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|Title:||A Generalized Scheme for the Interpolation Of Arbitrarily Intersecting Curves by Subdivision Surfaces||Authors:||Abbas, Abdulwahed
Nasri, Ahmad H
|Affiliations:||Department of Computer Science||Keywords:||Subdivision Surfaces
|Subjects:||Interpolation||Issue Date:||2005||Part of:||Digital Engineering Workshop 5th Japan-Korea CAD/CAM Workshop||Start page:||1||End page:||13||Conference:||Digital Engineering Workshop (DEWS) (24-25 Feb 2005 : Tokyo, Japan)||Abstract:||
This paper presents a scheme for interpolating intersecting uniform cubic B-spline curves by Catmull-Clark subdivision surfaces. The curves are represented by polygonal complexes and the neighborhoods of intersection points are modeled by X-Configurations. When these structures are embedded within a control polyhedron, the corresponding curves will automatically be interpolated by the surface limit of subdivision of the polyhedron. The paper supplies a construction which clearly shows that interpolation can still be guaranteed even in the absence of symmetry at the X-configurations. In this sense, this scheme generalizes an already existing technique by the same authors, thereby allowing more freedom to designers.
|URI:||https://scholarhub.balamand.edu.lb/handle/uob/587||Open URL:||Link to full text||Type:||Conference Paper|
|Appears in Collections:||Department of Computer Science|
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