Please use this identifier to cite or link to this item: https://scholarhub.balamand.edu.lb/handle/uob/587
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
Polygonal Complexes
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

Show full item record

Record view(s)

31
checked on Jul 23, 2024

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.