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Numerical Solution for the Inverse Problem and Its Application in Image Interpolation

机译：反问题的数值解及其在图像插值中的应用

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摘要

In this paper, we studies on the numerical solution for the inverse problem and try to use it to solve the image interpolation problem. Image interpolation is defined to generate a high resolution image from an input low resolution image. Firstly, we formally describe the image interpolation problem by constructing the vectors of high resolution image, low resolution image and additive noises respectively. Secondly, to tackle the image interpolation problem, a successive approximation numerical solution for the inverse problem is proposed. After a lot of iterations, the high resolution image with high quality can be obtained. Thirdly, 12 typical test images are exploited to make performance evaluation, and experimental results prove that our proposed method performs better than traditional methods.
机译：在本文中，我们研究了反问题的数值解，并试图将其用于解决图像插值问题。图像插值被定义为从输入的低分辨率图像生成高分辨率图像。首先，我们分别通过构造高分辨率图像，低分辨率图像和加性噪声的向量来正式描述图像插值问题。其次，为解决图像插值问题，提出了反问题的逐次逼近数值解。经过多次迭代，可以获得高质量的高分辨率图像。第三，利用12幅典型的测试图像进​​行性能评估，实验结果表明，本文提出的方法比传统方法具有更好的性能。

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