Paper Info
Title
An Algorithm for Interpolating Intersecting Curves by Recursive Subdivision Surfaces
Abstract
Interpolation conditions on recursive subdivision surfaces provide more powerful techniques to manipulate such surfaces. Recently, such conditions were extended to handle interpolation of pre-defined curves by a subdivision surface. Given a curve $C_i$ defined by a control polygon $cp_0$, this consists of constructing a strip complex $P_i$ as part of the defining polyhedral network $M_0$ or its first subdivision $M_1$. By repeated subdivision, $M_i$ converges to a limit surface $S$ which interpolates the curve $C_i$. In this paper, we describe an algorithm for constructing strip complexes that interpolate intersecting curves at the boundary of a surface. The algorithm is an important step towards solving the problem of interpolating arbitrary intersecting meshes of curves by subdivision surfaces.
Year
DOI
Venue
1999
10.1109/SMA.1999.749332
Shape Modeling International
Keywords
Field
DocType
limit surface,repeated subdivision,control polygon,recursive subdivision surfaces,pre-defined curve,defining polyhedral network,interpolation condition,intersecting curves,arbitrary intersecting mesh,recursive subdivision surface,subdivision surface,strip complex,mathematics,interpolation,network topology,computational geometry,computed tomography,taxonomy,spline
Spline (mathematics),Polygon,Combinatorics,Polygon mesh,Interpolation,Computational geometry,Algorithm,Finite subdivision rule,Subdivision surface,Subdivision,Mathematics
Conference
ISBN
Citations 
PageRank 
0-7695-0065-X
0
0.34
References 
Authors
9
1
Name
Order
Citations
PageRank
Ahmad H. Nasri1430121.97