Abstract

In the recent past, Compton camera became an attractive alternative to the Anger camera in scintimammography, В known as nuclear medicine breast imaging or molecular breast imaging. This novel imaging modality leads to the use of the V-line Radon transform, which integrates a function along coupled rays with a common vertex. In this paper, we explore the feasibility of using the inversion of the V-line Radon transform in breast imaging to detect tumors including those close to the chest wall. Numerical simulations show the relevance of the proposed reconstruction.

Highlights

  • According to the American Cancer Society, in the United States, breast cancer is one of the most commonly diagnosed cancer among women and it has the second highest mortality rate [1]

  • X-ray mammography and ultrasonography are the two main techniques applied for breast cancer detection

  • In scintimammography ignoring the effect of the attenuation of photon can significantly degrade the quality of the reconstruction image

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Summary

INTRODUCTION

According to the American Cancer Society, in the United States, breast cancer is one of the most commonly diagnosed cancer among women and it has the second highest mortality rate [1]. The information data u1, u2 and φ can be used to locate the gamma source somewhere on the cone surface in 3D (see Fig. 2) and the two semilines with common vertex in 2D (see Fig. 3) Another limitation of the conventional tomography imaging system is its low efficiency when close to the detector edge, which leads to failure in detecting tumors close to the chest wall (e.g. see [7]). [7], [8], [9], [10], concentrated on the single-head Compton camera to detect breast cancer (see Fig. 1). In all these works the attenuation phenomena was neglected. V-line transform in R2 and present an integral relations between the attenuated V-line transform and the exponential Radon transform

FORMULATION OF THE PROBLEM
NOTATIONS AND PRELIMINARIES
THE V-LINE TRANSFORM AND ITS
THE ATTENUATED V-LINE TRANSFORM
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