Development of a dual-detector X-ray imaging system for phase retrieval study
Introduction
Phase contrast X-ray imaging, quantitative X-ray phase imaging and phase retrieval have been gaining popularity in the past a few years due to their potential for clinical applications, including mammography [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13]. Based on a comprehensive X-ray phase imaging theory [5], [8], [9], a dual-detector approach has been investigated [7] for quantitative phase retrieval. With such a method, one X-ray exposure results in two images as required for quantitative phase retrieval, which reduces the radiation dose to patients, alignment errors and motion artifacts. To experimentally validate this approach, a prototype was developed and tested in our laboratory. The system adopts horizontal configuration by using an optical rail. The detector subsystem is a computed radiography (CR) system, which provides the ability of direct digitalization with high sensitivity and large dynamical range. More importantly, with a novel design, a modified CR plate allows the detection of a fraction of X-ray photons while letting other photons pass through the plate to reach another detector for forming a phase contrast image. With these images, a quantitative phase map can be retrieved.
Section snippets
Theory
A “thin sample” [5] in a X-ray imaging system can be described by its optical transmission function (OTF) T(x, y) = A(x, y)exp(iϕ(x, y)). The objective of phase retrieval is to obtain the phase map ϕ(x, y). A comprehensive theoretical formalism has been presented [5] for phase retrieval in a system configuration shown in Fig. 1(a).
Generalized to conditions of polychromatic X-ray source with finite focal spot size and real detectors with finite spatial resolution, the formula can be written as [8]
System configuration
The whole system, as shown in Fig. 2, was built on a 98.5-in horizontal optical rail (X95-2.5, Newport Corp., Irvine, CA), attached to which are carriers which mount the X-ray tube, the filter brace, the sample brace and two detector braces. The distance between the X-ray tube and the sample is R1. Detector-1 is placed directly behind the sample and detector-2 is placed some distance R2 downstream the sample. All the carriers can be easily moved to adjust R1 and R2 freely.
The micro-focus tube
Logarithm linearity of the CR system
The pixel values (PVs) of the digitalized X-ray image are proportional to the logarithm of the X-ray exposure X on the entrance surface of the CR cassettes. This logarithm linearity must be determined for the conversion of the CR images to radiation intensity images. Fromwhere a and b are constants, it is easy to find out that the ratio between any two radiation exposure values is related to the corresponding PVs through
We used a mammography cassette to determine the
Conclusion
We developed and tested the performance of a dual-detector X-ray imaging prototype for the purpose of in-line X-ray phase imaging and phase retrieval. The system utilizes a micro-focus X-ray tube and two CR detectors with horizontal configuration.
In this study, we first examined the linearity of the CR system, which is crucial for conversion of the pixel values (PVs) of the CR images to X-ray intensity values and hence for quantitative phase retrieval. We found that the PVs are in good
Acknowledgement
The research is supported in part by a grant from the National Institute of Health (RO1 EB002604).
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