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彩色全息压缩重构
引用本文:张成, 沈川, 程鸿, 章权兵, 陈岚, 韦穗. 彩色全息压缩重构. 自动化学报, 2015, 41(2): 419-428. doi: 10.16383/j.aas.2015.c131140
作者姓名:张成  沈川  程鸿  章权兵  陈岚  韦穗
作者单位:1.安徽大学计算智能与信号处理教育部重点实验室 合肥 230039;;;2.安徽省现代成像与显示技术重点实验室 合肥 230039
基金项目:国家自然科学基金,国家自然科学基金-广东联合基金,安徽省自然科学基金,安徽大学博士科研启动经费(33190218)资助@@@@Supported by National Natural Science Foundation of China,National Natu-ral Science Foundation of China - Guangdong Joint Fund,Natural Science Foundation of Anhui Province,Starting Research Fund of Anhui Univer-sity
摘    要:
压缩全息搭起Gabor全息和压缩感知(Compressed sensing, CS)理论之间的桥梁, 特别适合从单帧二维全息测量数据中重建三维对象, 是一种新兴的三维重建技术. 本文将压缩全息方法从单波长情形推广到多波长, 提出一种基于三维总变分稀疏模型的改进彩色全息压缩成像方法, 建立多波长情形下的压缩测量模型. 该方法利用对象的稀疏先验知识, 从单帧二维彩色全息图中重建多波长三维对象, 有效地实现孪生像的抑制和多层切片相互之间的散焦图像对重建质量的影响. 数值实验结果验证了本文提出方法的有效性.

关 键 词:压缩感知   压缩全息   三维重建   彩色全息
收稿时间:2013-12-12
修稿时间:2014-10-12

Compressed Reconstruction of Color Holography
ZHANG Cheng, SHEN Chuan, CHENG Hong, ZHANG Quan-Bing, CHEN Lan, WEI Sui. Compressed Reconstruction of Color Holography. ACTA AUTOMATICA SINICA, 2015, 41(2): 419-428. doi: 10.16383/j.aas.2015.c131140
Authors:ZHANG Cheng  SHEN Chuan  CHENG Hong  ZHANG Quan-Bing  CHEN Lan  WEI Sui
Affiliation:1. Key Laboratory of Intelligent and Computing Signal Processing, Anhui University, Hefei 230039;;;2. Key Laboratory of Modern Imaging and Displaying Technology of Anhui Province, Hefei 230039
Abstract:
Compressed holography is an emerging 3D reconstruction technique, which bridges the gap between compressed sensing (CS) theory and Gabor''s holography, especially for rebuilding 3D objects from a single-frame 2D holography measurement data. In this paper, the single-wavelength settings in compressed holography are extended to the multi-wavelength, and an improved compressed color holography imaging method is proposed, and a compressed measurement model in multi-wavelength case is established. Utilizing sparse prior knowledge of an object, a multi-wavelength 3D object can be reconstructed effectively from single-frame 2D color holography data of the object, so as to suppress the twin image and the defocus image due to multilayer slices and thus improve high quality reconstruction. Numerical results have demonstrated the effectiveness of our method.
Keywords:Compressed sensing (CS)  compressed holography  3D reconstruction  color holography
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