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Compressed Imaging Reconstruction Based on Block Compressed Sensing with Conjugate Gradient Smoothed l₀ Norm.

Yongtian Zhang^1,2, Xiaomei Chen^1,2, Chao Zeng^1,2

¹School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China.

Sensors (Basel, Switzerland)

|July 11, 2023

Summary

This summary is machine-generated.

A new algorithm, BCS-CGSL0, enhances compressed imaging reconstruction accuracy and efficiency. This block compressed sensing (BCS) method reduces image block effects for clearer high-resolution results.

Keywords:

block compressed sensing compressed imaging reconstruction technology conjugate gradient method smooth l0 norm

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Area of Science:

Optics and Imaging
Signal Processing
Computer Vision

Background:

Compressed imaging enables high-resolution image reconstruction from limited observations.
Reconstruction algorithm accuracy is critical in compressed imaging systems.
Block compressed sensing (BCS) is applied to traditional optical imaging.

Purpose of the Study:

To design a novel reconstruction algorithm for compressed imaging.
To improve reconstruction accuracy and reduce block effects.
To enhance the efficiency of image reconstruction.

Main Methods:

Developed a conjugate gradient smoothed l0 norm (BCS-CGSL0) algorithm based on block compressed sensing.
The CGSL0 component optimizes the SL0 algorithm using a novel inverse triangular function and conjugate gradient method.
The BCS-SPL method is integrated to mitigate block effects within the BCS framework.

Main Results:

The BCS-CGSL0 algorithm effectively reduces block effects in reconstructed images.
Demonstrated significant improvements in reconstruction accuracy compared to existing methods.
Showcased enhanced reconstruction efficiency.

Conclusions:

The BCS-CGSL0 algorithm offers superior performance in compressed imaging reconstruction.
This method provides a robust solution for achieving high-resolution images with fewer observations.
The study validates the advantages of BCS-CGSL0 in accuracy and efficiency through simulations.