Mesh-Independent Surface Interpolation
Mesh-Independent Surface Interpolation
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DOI：
10.1007/978-3-662-07443-5_3
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发表时间：
2004
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影响因子：
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通讯作者：
D. Levin
中科院分区：
文献类型：
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作者：
D. Levin
非结构化表面数据的光滑插值通常通过连接局部面片来实现，其中每个面片是在局部参考域上定义的近似（通常是参数）。提出了一种适用于一般曲面插值的基本的网格无关投影策略。投影是基于“移动最小二乘”（MLS）方法，得到的曲面是C ∞光滑的。投影涉及定义局部参考域的第一阶段和构造关于参考域的MLS近似的第二阶段。该方法是为一般问题的近似（d− 1）维流形在dtd，d≥ 2。该方法适用于曲线曲面数据的插值或光顺，文中给出了一些图形实例。
Smooth interpolation of unstructured surface data is usually achieved by joining local patches, where each patch is an approximation (usually parametric) defined on a local reference domain. A basic mesh-independent projection strategy for general surface interpolation is proposed here. The projection is based upon the ’Moving-Least-Squares’ (MLS) approach, and the resulting surface isC∞smooth. The projection involves a first stage of defining a local reference domain and a second stage of constructing an MLS approximation with respect to the reference domain. The approach is presented for the general problem of approximating a (d− 1)-dimensional manifold in ℝd,d≥ 2. The approach is applicable for interpolating or smoothing curve and surface data, as demonstrated here by some graphical examples.