Name
Abstract | ||
|---|---|---|
In this paper we derive an approximation property of four-point interpolatory curve subdivision, based on local cubic polynomial fitting. We show that when the scheme is used to generate a limit curve that interpolates given irregularly spaced points, sampled from a curve in any space dimension with a bounded fourth derivative, and the chosen parameterization is chordal, the accuracy is fourth order as the mesh size goes to zero. In contrast, uniform and centripetal parameterizations yield only second order. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.cam.2011.03.018 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
local cubic polynomial fitting,approximation property,irregularly spaced point,limit curve,mesh size,space dimension,centripetal parameterizations,four-point interpolatory curve subdivision,approximation order,chosen parameterization | Mathematical optimization,Parametrization,Centripetal force,Mathematical analysis,Fourth order,Chordal graph,Cubic function,Subdivision,Approximation property,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
236 | 4 | 0377-0427 |
Citations | PageRank | References |
1 | 0.37 | 8 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael S. Floater | 1 | 1333 | 117.22 |