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The availability of high resolution, energy discriminating photon counting detectors should make it possible to use Compton scattered photons to improve the diagnostic capability of computed tomography (CT). With high, spatial and energy resolution detectors Compton scatter tomography (CST) images of adequate quality can be obtained with a single projection. In practice, the limitations of realistic detectors require multiple projections for good quality images. The relationship between the number of projections used for reconstruction and the reconstructed image quality obtained for conventional CT does not necessarily apply to multi-projection Compton scatter tomography (MPCST). The purpose of this work was to investigate the dependence of the reconstructed image quality on the number of projections for MPCST. Analytical simulations and reconstructions were used to evaluate the contrast and spatial resolution for images reconstructed with one to 720 projections. Contrast-to-noise ratios (CNR) and the modulation transfer functions (MTF) demonstrated that the contrast increases monotonically with the number of projections while spatial resolution was independent of the number of projections. The contrast initially increases rapidly with projection number, becoming more gradual as the number of projections increase, with the rate of change being a function of fluence. The number of projections required to asymptotically approach the maximum contrast decreases as the fluence increases, with no indication of an optimal value for the range of fluences and projections investigated. For the projections considered, an increase in the number of projections increases the CNR even though the number of photons per projection decreases.

The reconstructed electron density image quality is sensitive to the detector size and energy resolution, which contribute to the blurring and noise in the image. This work evaluates optimal values of the detector parameters for a realistic system through analytical simulations of the transverse slice of the dedicated breast CT system geometry. This study introduces a spectroscopic x-ray tomography technique which uses multiple projections to reconstruct electron density images by backprojecting scattered photons over isogonic curves. The reconstruction can be obtained using a single projection yet its quality degrades as the acquisition conditions i.e. detector size and energy resolution deviate from the ideal. The reconstruction quality becomes inconsistent throughout the image due to the data under sampling caused by the finite resolution of the detector. The extension to the multi-projection mode effectively fills-in the missing data space and improves the ability to reconstruct an object. This work demonstrates the possibility to obtain images in the presence of noise.

This work presents a first generation incoherent scatter CT (ISCT) hybrid (analytic-iterative) reconstruction algorithm for accurate ρ{e}imaging of objects with clinically relevant sizes. The algorithm reconstructs quantitative images of ρ{e} within a few iterations, avoiding the challenges of optimization based reconstruction algorithms while addressing the limitations of current analytical algorithms. A 4π detector is conceptualized in order to address the issue of directional dependency and is then replaced with a ring of detectors which detect a constant fraction of the scattered photons. The ISCT algorithm corrects for the attenuation of photons using a limited number of iterations and filtered back projection (FBP) for image reconstruction. This results in a hybrid reconstruction algorithm that was tested with sinograms generated by Monte Carlo (MC) and analytical (AN) simulations. Results show that the ISCT algorithm is weakly dependent on the ρ{e} initial estimate. Simulation results show that the proposed algorithm reconstruct ρ{e} images with a mean error of -1% ± 3% for the AN model and from -6% to -8% for the MC model. Finally, the algorithm is capable of reconstructing qualitatively good images even in the presence of multiple scatter. The proposed algorithm would be suitable for in-vivo medical imaging as long as practical limitations can be addressed., (© 2011 – IOS Press and the authors. All rights reserved)

Breast CT is an emerging modality that reconstructs 3D linear attenuation coefficient (μ) images of the breast. Its tomographic nature reduces the overlap of structures and may improve tissue visualization. Current prototype systems produce large levels of scatter that could be used to reconstruct electron density (ρ &#95;{e}) images. This could potentially enhance diagnosis. We are developing a first generation bench top CT system to investigate the benefits of simultaneous imaging μ and ρ &#95;{e} of the intact breast. The system uses an algorithm capable of reconstructing ρ &#95;{e} images from single Klein-Nishina scatter. It has been suggested that this algorithm may be impractical since measurements include coherent, bound incoherent and multiple scatter. To investigate this, the EGSnrc Monte Carlo (MC) code was used to simulate scans using a first generation system. These simulations were used to quantify the dose per scan, to provide raw data for the ρ &#95;{e} reconstructions and to investigate corrections for multiple and coherent scatter since these can not be directly related to ρ &#95;{e}. MC simulations show that the dose coefficients are similar to those of cone beam breast CT. Coherent scatter is only ∼9% concentrated in scattering angles < 8°. Electron binding reduces the number of incoherently scattered photons but this reduction can be included in the quantification of scatter measured by the system. Multiple scatter was found to be the major source of errors and, if not corrected for, can result in an overestimation of ρ &#95;{e} by more than a factor of two. Empirical corrections, based on breast thickness or radiological path, can be used to reconstruct images where the variance in ρ &#95;{e} error is half of that found in images derived from primary photons only. Although some practical challenges remain in creating a laboratory system, this work has shown that it is possible to reconstruct scatter images of the breast with a 4 mGy dose and further experimental evaluation of this technique is warranted.