Projection onto Convex Sets Method in Spacefrequency Domain for Super Resolution

Wanqiang Shen1; Lincong Fang2; Xiang Chen1; Honglin Xu1

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Projection onto Convex Sets Method in Spacefrequency Domain for Super Resolution

机译：超分辨率的太空频道凸起凸起的投影

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—The aim of super resolution is to get high resolution (HR) images/videos from low-resolution (LR) images/videos. The obtained HR images/videos are expected to be clear and have less artifacts. Projection Onto Convex Sets (POCS) in the space domain is a super resolution method. It results in edge oscillation and produces many artifacts. This paper introduces a POCS method in both the space and the frequency domain. Firstly, a frequency domain POCS method is proposed. Then it is combined with the space POCS and the space-frequency POCS is obtained. Compared with the common bilinear interpolation method and the existing POCS method in the space domain, our method may decrease the edge oscillation phenomena and raise the Peak Signal to Noise Ratio (PSNR).

机译：- 超级分辨率的目的是获得低分辨率（LR）图像/视频的高分辨率（HR）图像/视频。获得的HR图像/视频预计将清晰并且具有较少的工件。投影到空间域中的凸集（POC）是超分辨率方法。它导致边缘振荡并产生许多伪影。本文在空间和频域中介绍了POCS方法。首先，提出了一种频域POC方法。然后将其与空间POC组合，并且获得空间频率POC。与空间域中的普通双线性插值方法和现有的POCS方法相比，我们的方法可以降低边缘振荡现象并将峰值信号提高到噪声比（PSNR）。

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《Journal of Computers》 |2014年第8期|共8页
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Wanqiang Shen1; Lincong Fang2; Xiang Chen1; Honglin Xu1;
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1. Projections onto Convex Sets Super-Resolution Reconstruction Based on Point Spread Function Estimation of Low-Resolution Remote Sensing Images [J] . Chong Fan, Chaoyun Wu, Grand Li, Sensors . 2017,第2期

机译：基于低分辨率遥感影像点扩展函数估计的凸集超分辨率重构投影
2. Super-resolution reconstruction for 4D computed tomography of the lung via the projections onto convex sets approach [J] . ZhangY., WuX., YangW., Medical Physics . 2014,第11期

机译：通过投影到凸集方法对肺部4D计算机断层扫描进行超分辨率重建
3. Gradient projection method for convex function and strongly convex set * [J] . Maxim O. Golubev IFAC PapersOnLine . 2015,第25期

机译：凸函数和强凸集的梯度投影方法 *
4. Super-Resolution Image Synthesis using Projections onto Convex Sets in the Frequency Domain [C] . Frederick W. Wheeler, Ralph T. Hoctor, Eamon B. Barrett Computational Imaging III . 2005

机译：在频域上使用凸集投影的超分辨率图像合成
5. Inverse halftoning using Projection Onto Convex Sets (POCS) by interval consistency check method for error diffused images. [D] . Iyer, Krishnan. 2005

机译：通过间隔一致性检查方法使用投影到凸集（POCS）上的逆半色调处理误差扩散图像。
6. Projections onto Convex Sets Super-Resolution Reconstruction Based on Point Spread Function Estimation of Low-Resolution Remote Sensing Images [O] . Chong Fan, Chaoyun Wu, Grand Li, 2017

机译：基于低分辨率遥感影像点扩展函数估计的凸集超分辨率重构投影
7. Projections onto Convex Sets Super-Resolution Reconstruction Based on Point Spread Function Estimation of Low-Resolution Remote Sensing Images [O] . Chong Fan, Chaoyun Wu, Grand Li, 2017

机译：基于点分散遥感影像点扩散函数估计的凸集超分辨率重建投影
8. Image Restoration by the Method of Projection onto Convex Sets. Part I. [R] . Webb, H. E., Youla, D. C., Stark, H. 1982

机译：凸集方法在凸集上的图像恢复。第一部分

Projection onto Convex Sets Method in Spacefrequency Domain for Super Resolution

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