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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/32846


    Title: 曲面光滑拼接
    Other Titles: Connecting piecewise surfaces smoothly from data points
    Authors: 陳朝信;Chen, Chao-hsing
    Contributors: 淡江大學數學學系碩士班
    吳孟年
    Keywords: 分片代數曲面;插值;piecewise algebraic surfaces;interpolation
    Date: 2009
    Issue Date: 2010-01-11 02:51:18 (UTC+8)
    Abstract: 給定網格狀資料點 D, 如果我們想要用 D 插值, 做出 ``bi-k-spline'' C(x,y), 即: C 為數個多項式所拼接而成。
    在本文中,我們將對 C 的一階、二階導數連續的情形分別做以下討論:
    1. 先依網格狀資料點及導數連續性 設定方程組,並加入某特定條件,使得方程組的解唯一。
    2. 找出使原方程組有唯一解的所有特定條件。
    3. 探究上述所有相異解之間的同質性及規則。
    4. 給定任意資料點,將解公式化為一般形式。
    For any given data points D above a grid, we want to find the interpolating function C(x,y) (``bi-k-spline'' interpolation)
    such that all data points fit C. In this paper, we will give several conditions on C to obtain different smoothness:
    1. Keep adding some specific conditions to obtain uniqueness of C.
    2. Find the rule(s) for propergating the unique C.
    3. Discuss common properties among propergation rules.
    4. Fomulate propergation rules.
    Appears in Collections:[數學學系暨研究所] 學位論文

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