基于非均匀测量矩阵的超分辨率全向图像重建
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娄静涛(1984-),男,博士研究生,研究方向为多媒体信息系 统与虚拟现实技术.

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国家自然科学基金(61175006,61175015,61275016,61271438)资助项目 (国防科技大学 信息系统与管理学院,湖南 长沙 410073) )


Super-resolution omnidirectional image reconstruction based on non-uniform measurement matrix
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    摘要:

    为解决折反射全向成像空间分辨率低和分布不均匀 的问题,将压缩感知(CS)理论引入折反射全向成像系统。基于单 位球面模型分析了折反射全向成像系统的空间分辨率分布规律,根据重构信号的均方误差(MSE)与稀疏度、测量次数的关系,设计了 基于全向图像分辨率的非均匀测量矩阵;通过设计的测量矩阵,将较多的传感资源分配给全 向图像内环,而将较少的传感资源 分配给外环,从而对经过镜面反射的场景进行采集,得到观测场景的非均匀压缩采样;最后 通过线性Bregman迭代算法重构出 分辨率均匀的高分辨率图像。实验结果表明,本文方法得到的图像空间分辨率更高且分布更 为均匀,有效改善了全向成像的分辨率问题。

    Abstract:

    To solve the problem of low and non-uniform resolution in catadioptri c omnidirectional imaging,the theory of compressive sensing (CS) is applied to research the catadioptric omnidirectional imaging sys tems. The resolution distribution of catadioptric omnidirectional imaging systems is analyzed based on the unit sphere model.Acco rding to the relation between mean square error (MSE) and sparsity,measurement number,a non-uniform measurement matrix,which is ba sed on the distribution of the imaging system′s resolution,is designed in this paper.Based on the designed measurement matrix, it allocates more sensing resources to inner parts but fewer to outer parts of the catadioptric omnidirectional image.This scheme take s the resolution of omnidirectional image into account, which is increased from the center to the periphery.The non-uniform compressed samples of the observed scene are captured from the ray light which is reflected from the mirror.The linear Bregman iteration is employ ed as the reconstruction algorithm to obtain the high and uniform resolution image.The algorithm is tested on synthetic and realistic ima ges.Experimental results show that the proposed method is feasible and effective.The recovered image has higher and much more uniform resolution than that reconstructed by traditional method.

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娄静涛,谭树人,李永乐,王炜,张茂军.基于非均匀测量矩阵的超分辨率全向图像重建[J].光电子激光,2013,(12):2421~2429

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  • 收稿日期:2013-05-14
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