Interpolating and approximating scattered 3D-data with hierarchical tensor product B-splines
Interpolating and approximating scattered 3D-data with hierarchical tensor product B-splines
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发表时间：
2010
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通讯作者：
G. Greiner;K. Hormann
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作者：
G. Greiner;K. Hormann
在这篇文章中，我们描述了基于优化技术的表面重建算法。输入是具有指定拓扑结构的分散3d数据。所构造的曲面是张量积b样条。为了实现局部细节和/或局部公平性，我们使用了层次张量积b样条。讨论了插值和逼近问题。离散点集的参数化问题在此方法中至关重要，我们将详细讨论。作者A. Le Mehaute， C. Rabut， L. L. Schumaker系列应用数学创新范德比尔特大学出版社，纳什维尔，1997页163-172
In this note we describe surface reconstruction algorithms based on optimization techniques. The input are scattered 3D-data with specified topology. The surfaces constructed are tensor product B-splines. To achieve local detail and/or local fairness we make use of hierarchical tensor product B-splines. Interpolation as well as approximation problems are discussed. The problem of parameterizing a discrete point set which is crucial in this approach will be discussed in more detail. Citation Info Booktitle Surface Fitting and Multiresolution Methods Editors A. Le Mehaute, C. Rabut, L. L. Schumaker Series Innovations in Applied Mathematics Publisher Vanderbilt University Press, Nashville, 1997 Pages 163–172