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Scattered data interpolation with multilevel B-splines

机译:具有多级B样条的分散数据插值

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The paper describes a fast algorithm for scattered data interpolation and approximation. Multilevel B-splines are introduced to compute a C/sup 2/ continuous surface through a set of irregularly spaced points. The algorithm makes use of a coarse to fine hierarchy of control lattices to generate a sequence of bicubic B-spline functions whose sum approaches the desired interpolation function. Large performance gains are realized by using B-spline refinement to reduce the sum of these functions into one equivalent B-spline function. Experimental results demonstrate that high fidelity reconstruction is possible from a selected set of sparse and irregular samples.
机译:本文介绍了一种用于分散数据插值和逼近的快速算法。引入多级B样条曲线以通过一组不规则间隔的点来计算C / sup 2 /连续曲面。该算法利用控制晶格的粗略到精细层次结构来生成一系列双三次B样条函数,其总和接近所需的插值函数。通过使用B样条细化将这些函数的总和减少为一个等效的B样条函数,可以实现较大的性能提升。实验结果表明,可以从一组稀疏和不规则样本中进行高保真度重建。

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