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Interpolation from Grid Lines: Linear, Transfinite and Weighted Method

机译:网格线的插值:线性,超限和加权方法

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摘要

When two sets of line scans are acquired orthogonal to each other, intensity values are known along the lines of a grid. To view these values as an image, intensities need to be interpolated at regularly spaced pixel positions. In this paper we evaluate three methods for interpolation from grid lines: linear, transfinite and weighted. Linear method does not preserve the known values along the grid lines. Transfinite method, known from mesh generation, preserves the known values but might cause overshoot. The weighted method, which we propose, is designed to combine the desired properties of transfinite method close to grid lines, and the stability of the linear method. We perform an extensive evaluation of the three interpolation methods across a range of upsampling rates for two data sets. Depending on the upsampling rate, we show significant difference in the performance of the three methods. We find that the transfinite interpolation works well for small upsampling rates and the proposed weighted interpolation method performs very well for all relevant upsampling rates.
机译:当获取彼此正交的两组线扫描时,沿网格线的强度值是已知的。为了将这些值视为图像,需要在规则间隔的像素位置处插入强度。在本文中,我们评估了从网格线进行插值的三种方法:线性,超限和加权。线性方法不会沿网格线保留已知值。从网格生成中得知的超限方法可以保留已知值,但可能会导致过冲。我们提出的加权方法旨在将靠近网格线的超限方法的期望属性与线性方法的稳定性相结合。我们对两种数据集的一系列升采样率进行了三种插值方法的广泛评估。根据上采样率,我们在三种方法的性能上显示出显着差异。我们发现,对于较小的上采样率,超限插值效果很好,并且建议的加权插值方法对于所有相关的上采样率均能很好地执行。

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