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dc.contributor.author이연주-
dc.creator이연주-
dc.date.accessioned2016-08-25T06:08:41Z-
dc.date.available2016-08-25T06:08:41Z-
dc.date.issued2003-
dc.identifier.otherOAK-000000028838-
dc.identifier.urihttps://dspace.ewha.ac.kr/handle/2015.oak/181717-
dc.identifier.urihttp://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000028838-
dc.description.abstract이 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.tableofcontents목차 = 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.formatapplication/pdf-
dc.format.extent960263 bytes-
dc.languageeng-
dc.publisher이화여자대학교 대학원-
dc.subjectStationary Binary-
dc.subjectSubdivision Scheme-
dc.subjectRadial Basis Function-
dc.subjectInterpolation-
dc.titleA Stationary Binary Subdivision Scheme By Radial Basis Function Interpolation-
dc.typeMaster's Thesis-
dc.format.pageii, 28 p.-
dc.identifier.thesisdegreeMaster-
dc.identifier.major대학원 수학과-
dc.date.awarded2003. 8-
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