论文标题

一种新颖的快速3D单图像超分辨率算法

A Novel Fast 3D Single Image Super-Resolution Algorithm

论文作者

Tuador, Nwigbo Kenule, Pham, Duong Hung, Michetti, Jérôme, Basarab, Adrian, Kouamé, Denis

论文摘要

本文介绍了一种新型的计算有效方法,用于求解3D单图像超分辨率(SR)问题,即从其低分辨率对应物中重建高分辨率的体积。主要贡献是基于频域中的基础属性,同时处理相关的拆卸和模糊操作员的原始方式。特别是,3D拆卸操作员的提议的分解技术允许对Tikhonov正则化的直接实现,并可以进一步用于考虑其他正则化功能,例如总差异,从而使最先进的算法的计算成本大大减少。进行的数值实验表明,所提出的方法的表现优于现有的3D SR方法。

This paper introduces a novel computationally efficient method of solving the 3D single image super-resolution (SR) problem, i.e., reconstruction of a high-resolution volume from its low-resolution counterpart. The main contribution lies in the original way of handling simultaneously the associated decimation and blurring operators, based on their underlying properties in the frequency domain. In particular, the proposed decomposition technique of the 3D decimation operator allows a straightforward implementation for Tikhonov regularization, and can be further used to take into consideration other regularization functions such as the total variation, enabling the computational cost of state-of-the-art algorithms to be considerably decreased. Numerical experiments carried out showed that the proposed approach outperforms existing 3D SR methods.

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