Compressive sensing imaging with optical Fourier frequency spectrum coding and optical wavelet transform

Jiyu Han; Feng Xu; Chinhua Wang

doi:10.1117/12.2034872

20 August 2013 Compressive sensing imaging with optical Fourier frequency spectrum coding and optical wavelet transform

Jiyu Han, Feng Xu, Chinhua Wang

Proceedings Volume 8913, International Symposium on Photoelectronic Detection and Imaging 2013: Optical Storage and Display Technology; 89130Y (2013) https://doi.org/10.1117/12.2034872
Event: ISPDI 2013 - Fifth International Symposium on Photoelectronic Detection and Imaging, 2013, Beijing, China

Abstract

In traditional signal sampling process, Shannon - Nyquist (Shoon-Nyquist) sampling theorem is a fundamental principle that must be followed, in that the sampling frequency must be at least twice the highest frequency of the sampled signal. However, with the increasing of data acquisition capabilities of sensing systems, acquisition of high-resolution images will inevitably lead to a flood of sampling data according to Shoon-Nyquist sampling theorem, which increases the cost of data transport and storage, and also the demand for the resolution of the detector. Donoho and Candes proposed the compressed sensing theory which is considered as a revolutionary breakthrough in that it breaks Shoon-Nyquist sampling frequency requirements. For compressible or sparse signals, signal sampling can be implemented with the sampling frequency that is less than that of Shoon-Nyquist sampling theorem, and the signal is also compressed meanwhile. This paper studied compressive coding imaging based on optical wavelet transform coupled with the frequency spectrum coding. The imaging quality can be enhanced by introducing optical wavelet transform for pre-treatment of the target image before the compression coding on the frequency spectrum plane. Simulation results show that higher quality images can be obtained with the pre-treatment of optical wavelet transform than that of purely optical Fourier transform without any increasing of the transmitted data. With the proposed method, we have conducted the numerical simulations. The results show that the proposed compression sampling method can achieve the real-time compression sampling of the images without distortion, and a compression ratio of 4:1 can be obtained.

Citation Download Citation

Jiyu Han, Feng Xu, and Chinhua Wang "Compressive sensing imaging with optical Fourier frequency spectrum coding and optical wavelet transform", Proc. SPIE 8913, International Symposium on Photoelectronic Detection and Imaging 2013: Optical Storage and Display Technology, 89130Y (20 August 2013); https://doi.org/10.1117/12.2034872

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KEYWORDS

Wavelet transforms

Image compression

Compressed sensing

Fourier transforms

Image quality

Data storage

Optical imaging

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