Abstract

The present study primarily investigates the topic of image reconstruction at high compression rates. As proven from compressed sensing theory, an appropriate algorithm is capable of reconstructing natural images from a few measurements since they are sparse in several transform domains (e.g., Discrete Cosine Transform and Wavelet Transform). To enhance the quality of reconstructed images in specific applications, this paper builds a trainable deep compressed sensing model, termed as EnGe-CSNet, by combining Convolution Generative Adversarial Networks and a Variational Autoencoder. Given the significant structural similarity between a certain type of natural images collected with image sensors, deep convolutional networks are pre-trained on images that are set to learn the low dimensional manifolds of high dimensional images. The generative network is employed as the prior information, and it is used to reconstruct images from compressed measurements. As revealed from the experimental results, the proposed model exhibits a better performance than competitive algorithms at high compression rates. Furthermore, as indicated by several reconstructed samples of noisy images, the model here is robust to pattern noise. The present study is critical to facilitating the application of image compressed sensing.

Highlights

  • The typical problem of Compressed Sensing (CS) refers to the reconstruction of sparse signal xfrom measurements y ∈ Rm, y = Φx, Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations

  • Some visual examples reconstructed by various methods at the compression rate cr = 20 are illustrated in Figures 3 and 4

  • The images reconstructed by the proposed model are much explicit than others with the compression rate cr = 20

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Summary

Introduction

Academic Editor: Chiman KwanReceived: 13 April 2021Accepted: 2 May 2021Published: 4 May 2021Compressed Sensing (CS) [1] integrates the sampling and compression of information acquisition and significantly downregulates the sampling rate of the measurement system.The typical problem of CS refers to the reconstruction of sparse signal xfrom measurements y ∈ Rm , y = Φx, Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations.Licensee MDPI, Basel, Switzerland.Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/). (1)

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