Work

A soft-threshold filtering approach for reconstruction from a limited number of projections

Year: 2010

Type: article

Abstract: In the medical imaging field, discrete gradient transform (DGT) is widely used as a sparsifying operator to define the total variation (TV). Recently, TV minimization has become a hot topic in image reconstruction and is usually implemented using the steepest descent method (SDM). Since TV minimization with the SDM takes a long computational time, here we construct a pseudo-inverse of the DGT and adapt a soft-threshold filtering algorithm, whose convergence and efficiency have been theoretically proven. Also, we construct a pseudo-inverse of the discrete difference transform (DDT) and design an algorithm for L1 minimization of the total difference. These two methods are evaluated in numerical simulation. The results demonstrate the merits of the proposed techniques.

Source: Physics in Medicine and Biology

DOI: 10.1088/0031-9155/55/13/022

Authors: Hengyong Yu, Ge Wang

Institutions: Virginia Tech - Wake Forest University School of Biomedical Engineering & Sciences, Wake Forest University Health Sciences, Wake Forest University, Virginia Tech

Language: English

Topic: Sparse and Compressive Sensing Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, National Institutes of Health, National Institute of Biomedical Imaging and Bioengineering, Division of Civil, Mechanical and Manufacturing Innovation