数字化直线插值的数值方法(展开法)。

M R Voegelin, G Paoli
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引用次数: 0

摘要

该方法可用于从数字化多形线的n个不一定等距的点重构一组n1等距点(n1 > n)插值原始点。该方法基于将原始直线转换为数字化单参量函数D(1i)(展开函数),其中1i为原点到第i点之间的线长(i = 1,…, n1)。该方法的优点在于将二维插值问题简化为一维插值问题。在科学成像中,可以实现感兴趣区域(ROI)边缘的插值和编码。对于单峰线的n个样本,这种方法也可以应用,代表了样条的可能替代。为了减小点上的噪声,给出了相应的数值计算方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Numerical method for the interpolation of digitized lines (unrolling method).

The proposed method can be used for reconstructing, from n not necessarily equidistant points of a digitized polydrome line, a set of n1 equidistant points (with n1 > n) interpolating the original points. This method is based on a transformation of the original line into a digitized monodrome function D(1i) (unrolling function), where 1i is the line length between the origin and the ith point (i = 1,..., n1). Advantage of this method consists in reducing the two-dimensional interpolation problem to the one-dimensional field. In scintigraphic imaging, it is possible to achieve interpolation and coding of ROI's (Regions Of Interest) edges. For n samples of a monodrome line this method can also be applied, representing a possible alternative to splines. The numerical procedure is developed to reduce the noise on the points.

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