半导体光电, 2014, 35 (6): 1119, 网络出版: 2014-12-26
压缩感知的等效二维稀疏变换
Equivalent Two-dimensional Sparse Transform of Compressive Sensing
二维压缩感知 二维稀疏变换 线阵推扫 影像重构 单像素相机 测量阶段 two-dimensional compressive sensing two-dimensional sparse transform linear array push-broom image reconstruction single-pixel camera measurement stage
摘要
目前的压缩感知研究尚不能真正实现基于二维稀疏变换的影像采集和重构。通过对二维压缩感知和稀疏变换的理论分析和数学推导, 将基于一维稀疏变换的二维压缩感知模型等价转换成适用于二维稀疏变换的二维压缩感知模型。从而在测量过程不变的前提下, 基于一维线阵推扫数据采集方式实现了基于二维稀疏变换的压缩感知影像采集和重构。实验验证了等效二维稀疏变换的正确性。
Abstract
Based on theoretical analysis and mathematical deduction of two-dimensional compressed sensing and sparse transform, two-dimensional compressed sensing model based on one-dimensional sparse transform is equivalently converted into two-dimensional compressed sensing model for two-dimensional sparse transform. Thus on the premise of unchanging measurement process, compressed sensing image acquisition and reconstruction based on two-dimensional sparse transform are implemented based on one-dimensional linear array push-broom data collection methods. Experiments verify the correctness of equivalent two-dimensional sparse transform.
程涛, 朱国宾, 李小龙. 压缩感知的等效二维稀疏变换[J]. 半导体光电, 2014, 35(6): 1119. CHENG Tao, ZHU Guobin, LI Xiaolong. Equivalent Two-dimensional Sparse Transform of Compressive Sensing[J]. Semiconductor Optoelectronics, 2014, 35(6): 1119.