Wiener Splines

M. Gross, David Kleiner
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引用次数: 1

Abstract

We describe an alternative way of constructing interpolating B-spline curves, surfaces or volumes in Fourier space which can be used for visualization. In our approach the interpolation problem is considered from a signal processing point of view and is reduced to finding an inverse B-spline filter sequence. The Fourier approach encompasses some advantageous features, such as successive approximation, compression, fast convolution and hardware support. In addition, optimal Wiener filtering can be applied to remove noise and distortions from the initial data points and to compute a smooth, least-squares fitting "lq Wiener spline". Unlike traditional fitting methods, the described algorithm is simple and easy to implement. The performance of the presented method is illustrated by some examples showing the restoration of surfaces corrupted by various types of distortions.
我们描述了一种在傅里叶空间中构造插值b样条曲线、曲面或体积的替代方法,可用于可视化。在我们的方法中,从信号处理的角度考虑插值问题,并将其简化为寻找逆b样条滤波器序列。傅里叶方法包含了一些优点,如连续逼近、压缩、快速卷积和硬件支持。此外,最优维纳滤波可以应用于从初始数据点去除噪声和失真,并计算光滑的,最小二乘拟合的“lq维纳样条”。与传统的拟合方法不同,所描述的算法简单,易于实现。通过一些实例说明了该方法的性能,这些实例显示了被各种类型的畸变破坏的表面的恢复。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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