Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이연주 | - |
dc.creator | 이연주 | - |
dc.date.accessioned | 2016-08-25T06:08:41Z | - |
dc.date.available | 2016-08-25T06:08:41Z | - |
dc.date.issued | 2003 | - |
dc.identifier.other | OAK-000000028838 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/181717 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000028838 | - |
dc.description.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. | - |
dc.description.tableofcontents | 목차 = ⅰ 1. Introduction = 1 2. The Binary Subdivision Scheme = 5 2.1 The Subdivision Scheme Mask = 5 2.2 The Examples of Binary Subdivision Scheme = 7 3. Interpolatory Subdivision Scheme by Radial Basis Function = 9 3.1 Radial Basis Function lnterpolation = 9 3.2 Subdivision Scheme by Radial Basis Function Interpolation = 11 4. Smoothness Analysis = 16 5. Approximation Order = 24 | - |
dc.format | application/pdf | - |
dc.format.extent | 960263 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.subject | Stationary Binary | - |
dc.subject | Subdivision Scheme | - |
dc.subject | Radial Basis Function | - |
dc.subject | Interpolation | - |
dc.title | A Stationary Binary Subdivision Scheme By Radial Basis Function Interpolation | - |
dc.type | Master's Thesis | - |
dc.format.page | ii, 28 p. | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 2003. 8 | - |