Fast Reconstruction with Barrier Projection for Compressively Sensed Image Array

机译：压缩感知图像阵列的屏障投影快速重构

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This paper considers an improved log-barrier algorithm for the signal recovery from compressively sensed image arrays. The improvements include the barrier projection algorithm, the implementation of parallel computation, the conjugate direction method, and the estimation of Hessian matrix inversion in Newton steps. The number of inner and outer iterations are reduced by appropriate space transformation eliminating linear and second-order barriers. Considering a problem of scale N with l and L being the number of log-barrier and Newton steps, the complexity of original log-barrier algorithm, which is O(N2lL), can be reduced to O(N2L) or O(NlL).

机译：本文考虑了一种改进的对数屏障算法，用于从压缩感测图像阵列中恢复信号。改进包括障碍投影算法，并行计算的实现，共轭方向法以及牛顿步长中Hessian矩阵求逆的估计。适当的空间变换减少了线性和二阶障碍，减少了内部和外部迭代的次数。考虑到L和L为对数壁垒和牛顿步数的尺度N问题，可以将原始对数壁垒算法的复杂度O（N2lL）降低为O（N2L）或O（NlL）。

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来源
《The 8th international conference on optimization: Techniques and Applications》|2010年|49-50|共2页
会议地点 Shanghai(CN)
作者
Yinhao DING; Cheng-Chew LIM;
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作者单位

School of Electrical and Electronic Engineering,The University of Adelaide, Adelaide, Australia;

School of Electrical and Electronic Engineering,The University of Adelaide, Adelaide, Australia;

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会议组织
原文格式 PDF
正文语种 eng
中图分类系统优化;
关键词
Compressive Sensing; Convex Optimization; Log-Barrier; Conjugate Direction; Hessian Approximation;

机译：压缩传感;凸优化;对数壁垒;共轭方向; Hessian逼近;

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2. Compressive sensing for seismic data reconstruction via fast projection onto convex sets based on seislet transform [J] . Gan Shuwei, Wang Shoudong, Chen Yangkang, Journal of Applied Geophysics . 2016,第Null期

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3. Feasibility Study of Four-Dimensional Digital Tomosynthesis Using GPU-Accelerated Compressed-Sensing (CS) Image Reconstruction for Faster Tumor Localization [J] . Hsieh S., Lee D., Choi S., Medical Physics . 2018,第6期

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4. Fast Reconstruction with Barrier Projection for Compressively Sensed Image Array [C] . Yinhao DING, Cheng-Chew LIM International conference on optimization: Techniques and Applications . 2010

机译：对压缩感测图像阵列的屏障投影快速重建
5. Image reconstructions of compressed sensing MRI with multichannel data [D] . Chang, Ching-Hua. 2016

机译：多通道数据的压缩传感MRI的图像重建
6. Compressed Sensing Inspired Image Reconstruction from Overlapped Projections [O] . Lin Yang, Yang Lu, Ge Wang 2010

机译：重叠投影的压缩感知启发图像重建
7. Application of Gradient Projection for Sparse Reconstruction to Compressed Sensing for Image Reconstruction of Electrical Capacitance Tomography [O] . Lifeng Zhang 2018

机译：梯度投影在电容断层扫描图像重建压缩检测中的应用

Fast Reconstruction with Barrier Projection for Compressively Sensed Image Array

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