论文标题

采样效果及其应用的校正算法

Correction Algorithm of Sampling Effect and Its Application

论文作者

Sun, Yunqi, Zhou, Jianfeng

论文摘要

长期以来,成像采集设备的采样效果被认为是输入信号的调制过程,将额外的误差引入了信号采集过程中。本文提出了针对调制过程的校正算法,该算法以高精度求解采样效果。我们使用完美的连续高斯图像和选定的数字化图像检查了算法,这表明高斯图像的准确性增加了106,数字化图像的Shannon插值15次,在Shannon interpolation的15次中,Shannon插值的101次用于数字化图像。高斯图像的准确性极限来自截断误差,而数字化图像的准确性极限来自其有限分辨率,可以通过增加香农插值时间来改善。

The sampling effect of the imaging acquisition device is long considered to be a modulation process of the input signal, introducing additional error into the signal acquisition process. This paper proposes a correction algorithm for the modulation process that solves the sampling effect with high accuracy. We examine the algorithm with perfect continuous Gaussian images and selected digitized images, which indicate an accuracy increase of 106 for Gaussian images, 102 at 15 times of Shannon interpolation for digitized images, and 105 at 101 times of Shannon interpolation for digitized images. The accuracy limit of the Gaussian image comes from the truncation error, while the accuracy limit of the digitized images comes from their finite resolution, which can be improved by increasing the time of Shannon interpolation.

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