View : 109 Download: 0

A Stationary Binary Subdivision Scheme By Radial Basis Function Interpolation

Title
A Stationary Binary Subdivision Scheme By Radial Basis Function Interpolation
Authors
이연주
Issue Date
2003
Department/Major
대학원 수학과
Keywords
Stationary BinarySubdivision SchemeRadial Basis FunctionInterpolation
Publisher
이화여자대학교 대학원
Degree
Master
Abstract
이 논문에서는 radial basis function interpolation을 이용한 새로운 interpolatory stationary subdivision schemes가 소개된다. 이 연구는 두 측면에서, interpolatory stationary subdivision schemes에 대한 기존의 연구들을 발전시킨다 첫째, interpolatory schemes의 family를 더 넓게 확장시킨다; 각각의 2L-point interpolatory schemes는 polynomial reproducing degree(즉,m)를 다양하게 택할 수 있다. 각각의 (2L, m)에 따라서 서로 다른 subdivision rule을 만들 수 있다. 둘째, 이 schemes는 tension parameter를 가지고 있다. convergence와 smoothness의 조건에 대해서도 연구된다.;In this paper, a new family of interpolatory stationary subdivision schemes is introduced by using radial basis function interpolation. This work extends the earlier studies on interpolatory stationary subdivision scheme in two as- pects. First, it provides wider class of interpolatory scheme; each 2L-point interpolatory scheme has the freedom of choosing a degree (say, m) of poly- nomial reproducing. Depending on the combination (2L, m), our scheme suggests different subdivision rules. Second, the scheme proposed here turns out to be 2L-point interpolatory scheme with tension parameter. The con- ditions for convergence and smoothness are studied.
Fulltext
Show the fulltext
Appears in Collections:
일반대학원 > 수학과 > Theses_Master
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

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

BROWSE