Iterative Image Correction Scheme for Optoacoustic Tomography

Abstract

Abstract— An iterative algorithm to enhance the quality of optoacoustic images is proposed based on the Banach fixed point theorem. Numerical simulation of the propagation of ultrasound waves and image reconstruction for media with characteristics close to soft biological tissues has been performed. The problem of eliminating distortions and artifacts in optoacoustic images has been modeled for four iterative schemes. The efficiency of the approach has been demonstrated even for a few iterations.

Acceleration of the Iterative Procedure for Correction of Optoacoustic Images

“…To overcome the strong dependence of image quality on these factors we proposed a method for reducing distortions in reconstructed OA images [2]. It is based on the Banach fixed point theorem [7].…”

“…In [2], we used this approach to improve the quality of reconstructed OA images. The drawback is that sometimes such an iterative process requires too many iterations to get the desired quality.…”

“…As a result, processing speed may be unacceptably slow. In the work [2], two iterative schemes were used to enhance reconstructed images: the approach corresponding to the Picard method [8] and the gradient descent scheme proposed by Steffensen [9]. In this article, we propose to use acceleration methods to solve the problem of improving reconstructed OA images.…”

“…The main goal of the work was to develop and study the fastest possible numerical algorithm designed to correct artifacts and distortions caused by the peculiarities of the image restoration method in optical-acoustic tomography problems. The motivation for this work is to further improve the efficiency of the method proposed in [2]. The focus of the research is to investigate the application of fixed-point iteration acceleration techniques and gradient descent methods.…”