Digital hologram coding transmission method employing compressed sensing

Abstract

The invention discloses a digital hologram coding transmission method employing compressed sensing. The method carries out the compression, transmission and decoding of a digital hologram based on the compressed sensing, carries out targeted reconstruction of the digital hologram in a wavelet domain through a total variation method, and improves the quality of image reproduction. The method specifically comprises the steps: carrying out the downsampling of the digital hologram at a sampling rate lower than the sampling rate of the Nyquist law through employing a variable density sampling matrix, so as to reduce the data amount for subsequent coding and transmission; further carrying out the compression and coding of the sample data through a Hoffman lossless coding method, wherein the iteration and reconstruction is multi-level partitioned iteration and reconstruction. Compared with a common method for reducing a measurement value for a measurement matrix, the method further improves the compression rate, reduces the calculation amount of a transmission end and the system complexity, improves the quality of image reproduction, reconstructs the digital hologram after decompression, and can be used for three-dimensional display in a space light modulator and other optical systems.

Description

technical field [0001] The invention belongs to the field of digital image processing, and relates to a digital hologram encoding and transmission method using compressed sensing, in particular to related methods such as production and reproduction of color digital holograms, sampling of compressed sensing technology changes in density, and overall variational reconstruction. Background technique [0002] In 2006, Candès et al. proposed compressive sensing technology for the first time in the document "Emmanuel J. Candès, Justin Romberg and Terence Tao, "Robustuncertaintyprinciples: Exact signal reconstruction from highly incomplete frequency information," IEEE Transactions on Information Theory, Vol.52, No.2, pp.489-509, 2006. The rudiment and possible application of compressed sensing theory are proposed, and a method for high-precision reconstruction through nonlinear estimation for highly undersampled data is proposed. [0003] Holograms record the amplitude and phase in...

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Problems solved by technology

However, the problem with this method is that there is no reconstruction of the digital hologram, and it cannot be used in an optical stereoscopic display system for three-dimensional display of objects.

Document 3 "Li Ke, Li Jun. Research on hologram compression based on compressed sensing [J]. Journal of South China Normal University: Natural Science Edition, 2013, 44(4): 61-65." and Document 4 "Wang Yuping, Chen Baoshen , Lan Jianhui, et al. Digital holographic imaging technology based on compressed sensing [J]. Electronic World, 2013, No. 7 (7): 37-38." Both record the reconstruction of digital holograms under the structure of compressed sensing technology The compression method, which uses the measurement matrix to obtain part of the measured values ​​to achieve the purpose of compression, but its existing problems are: the measurement matrix needs a large number of matrix operations to measure the hologram, and the system operation complexity is high. At the same time, the measurement value is a floating point number , bring additional storage and transmission data volume, reduce data compression rate

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