The phenomenon of x-ray beam hardening (BH) has significant impact on preclinical micro-CT imaging systems. The causal factors are the polyenergetic nature of x-ray beam used for imaging and the energy dependence of linear attenuation coefficient of the imaged material. With increase in length of propagation of beam in the imaged object, lower energy photons in the projected beam become preferentially absorbed. The beam "hardens" (as average energy increases) and progressively becomes more penetrating, causing underestimation of the attenuation coefficient. When this phenomenon is not accounted for during CT reconstruction, it results in images with nonuniform CT number values across regions of uniform density. It leads to severe errors in quantitative applications of micro-CT and degradation in diagnostic quality of images. Hence, correction for beam hardening effect is of foremost importance and has been an active area of research since the advent of micro -CT. The Siemens Inveon micro-CT system uses a common linearization approach for BH correction. It provides a set of standard default coefficients to be applied during CT reconstruction. However, our initial experiments with uniform water phantoms of varying diameters indicated that the correction coefficients provided by default in the Inveon system are applicable for imaging mouse-size (~28 mm) objects only. For larger objects the correction factors yielded incorrect CT values along with characteristic 'cupping' observed in the uniform region in the center of the phantom. This study provides an insight into the nature and characteristics of beam hardening on the Inveon CT system using water phantoms of varying sizes. We develop and test a beam hardening correction scheme based on linearization using cylindrical water phantoms of two different diameters - 28 mm and 71 mm, selected to represent mouse and rat sizes respectively. The measured non-linear relationship between attenuation and length of propagation is fitted to a polynomial function, which is used to estimate the effective monoenergetic attenuation coefficient for water. The estimated effective linear attenuation coefficient value is used to generate the expected sum of attenuation coefficients along each x-ray path through the imaged object. The acquired poly-energetic data is then linearized to expected projections using a third order polynomial fit, which is consistent with the Inveon BH model and software. The coefficients of this trinomial are then applied for BH correction during CT reconstruction. Correction achieved with the proposed model demonstrates effective removal of the characteristic cupping artifact that was observed when default BHC coefficients were applied. In addition to water phantoms, we also test the effectiveness of the proposed scheme using solid cylindrical phantoms of three different densities and composition. The proposed method was also used to measure the BH effect for 12 different kVp/filtration combinations. By generating twelve distinct sets of BHC coefficients, for each setting, we achieve a significant expansion in the quantitative performance of the Inveon CT system.

Neste trabalho, foram desenvolvidos modelos semianalíticos para estudar os parâmetros de qualidade da imagem (contraste objeto, SC, e razão contraste-ruído, CNR) e a dose glandular normalizada (DgN ) em mamografia convencional e digital. As características de 161 amostras de tecidos mamários (coeficiente de atenuação linear e densidade) e os espectros de raios X mamográficos foram determinados experimentalmente, visando construir uma base de dados consistente destas grandezas para serem utilizadas nos modelos. Os coeficientes de atenuação linear foram determinados utilizando um feixe de raios X polienergético e um detector de Si(Li), e as densidades foram medidas utilizando o método da pesagem hidrostática. Os espectros de raios X de um equipamento industrial, que simula as qualidades de radiação de mamografia, foram medidos utilizando detectores de Si(Li), CdTe e SDD. A resposta de cada detector foi determinada por simulação Monte Carlo (MC). Os modelos semianalíticos desenvolvidos neste trabalho permitem calcular a deposição de energia na mama e no receptor de imagem, e foram utilizados para estudar o SC, a CNR e a DgN, para diferentes tipos de mama (espessura e glandularidade) e características do espectro incidente (combinação ânodo/filtro, potencial do tubo e camada semirredutora), bem como permitem avaliar a figura de mérito (FOM) em mamografia convencional e digital. Os resultados de coeficiente de atenuação e densidade para os diferentes grupos de tecidos mamários, mostram que os tecidos normais fibroglandulares e neoplásicos possuem características similares, enquanto tecidos normais adiposos apresentam menores valores destas grandezas. Os espectros medidos com cada detector, e devidamente corrigidos por suas respostas, mostram que os três tipos de detectores podem ser usados para determinar espectros mamográficos. Com base nos resultados de SC e CNR, foram estimados limites de detecção de nódulos em mamografia convencional e digital, que se mostraram similares entre si. Os resultados de SC, CNR e DgN obtidos também destacam a importância da escolha do modelo da mama e da base de dados de coeficiente de atenuação e espectros de raios X utilizados, uma vez que estes são responsáveis por uma grande variação nas grandezas estudadas. Além disso, os resultados de FOM mostram que, para mamas finas, a combinação Mo/Mo, tradicionalmente utilizada, apresenta o melhor desempenho, enquanto as combinações W/Rh e W/Ag são as mais indicadas para mamas espessas. Para mamas de espessuras médias, a melhor combinação depende da técnica utilizada (convencional ou digital). Finalmente, verificou-se que os modelos semianalíticos desenvolvidos permitem a obtenção de resultados de forma prática e rápida, com valores similares aos obtidos por simulação MC. Desta forma, estes modelos permitirão estudos futuros a respeito da otimização da mamografia, para outros tipos de mama e condições de irradiação. / In this work, semianalytical models were developed to study the image quality parameters (subject contrast, SC, and contrast-to-noise ratio, CNR) and the normalized average glandular dose (DgN) in conventional and digital mammography. The characteristics of 161 breast tissue samples (linear attenuation coefficient and density), and the mammographic x-ray spectra were determined experimentally, aiming to establish a consistent experimental database of these quantities to be used in the models. The linear attenuation coefficients were determined using a polyenergetic x-ray beam and a Si(Li) detector, and the densities were measured using the buoyancy method. The x-ray spectra from an industrial equipment, which reproduces the mammographic qualities, were measured using Si(Li), CdTe and SDD detectors. The responses of the detectors were determined using Monte Carlo (MC) simulation. The semianalytical models developed in this work allow computing the energy deposited in the breast and in the image receptor, and they were employed to study the SC, CNR and DgN, for different types of breast (thickness and glandularity) and incident x-ray spectra (anode/filter combination, tube potential and half-value layer). These models also allow evaluating the figure of merit (FOM) for conventional and digital mammography. The results of attenuation coefficient and density for the tissues analyzed show similar characteristics for the normal fibroglandular and neoplasic breast tissues, while the adipose tissue presents lower values of these quantities. From the x-ray spectra obtained using each detector, and corrected by their respective responses, it is observed that the three types of detectors can be used to determine mammographic spectra. Detection limits for nodules were estimated from the results of SC and CNR, and they were similar for both cases. The results of SC, CNR and DgN also show the importance of the choice of the breast model, and of the database of attenuation coefficient of breast tissues and x-ray spectra, since they largely influence the studied quantities. Besides, the results for FOM show that, for thin breasts, the Mo/Mo spectrum exhibits the better performance, while the W/Rh and W/Ag spectra are recommended for thicker breasts. For average thickness breasts, the more indicated spectra depend on the employed technique (conventional or digital). Finally, it was verified that the semianalytical models developed in this work provided results in a fast and simple way, with a good agreement with those obtained by using MC simulation. Therefore, these models allow further studies, regarding optimization of mammography, for other breast characteristics and irradiation parameters.

Dual-energy computed tomography (DECT) has shown great potential in the reduction of uncertainties of proton ranges and low energy photon cross section estimation used in radiation therapy planning. The work presented herein investigated three contributions for advancing DECT applications. 1) A linear and separable two-parameter DECT, the basis vector model (BVM) was used to estimate proton stopping power. Compared to other nonlinear two-parameter models in the literature, the BVM model shows a comparable accuracy achieved for typical human tissues. This model outperforms other nonlinear models in estimations of linear attenuation coefficients. This is the first study to clearly illustrate the advantages of linear model not only in accurately mapping radiological quantities for radiation therapy, but also in providing a unique model for accurate linear forward projection modelling, which is needed by the statistical iterative reconstruction (SIR) and other advanced DECT reconstruction algorithms. 2) Accurate DECT requires knowledge of x-ray beam properties. Using the Birch-Marshall1 model and beam hardening correction coefficients encoded in a CT scanner’s sinogram header files, an efficient and accurate way to estimate the x-ray spectrum is proposed. The merits of the proposed technique lie in requiring no physical transmission measurement after a one-time calibration against an independently measured spectrum. This technique can also be used in monitoring the aging of x-ray CT tubes. 3) An iterative filtered back projection with anatomical constraint (iFBP-AC) algorithm was also implemented on a digital phantom to evaluate its ability in mitigating beam hardening effects and supporting accurate material decomposition for in vivo imaging of photon cross section and proton stopping power. Compared to iFBP without constraints, both algorithms demonstrate high efficiency of convergence. For an idealized digital phantom, similar accuracy was observed under a noiseless situation. With clinically achievable noise level added to the sinograms, iFBP-AC greatly outperforms iFBP in prediction of photon linear attenuation at low energy, i.e., 28 keV. The estimated mean errors of iFBP and iFBP-AC for cortical bone are 1% and 0.7%, respectively; the standard deviations are 0.6% and 5%, respectively. The achieved accuracy of iFBP-AC shows robustness versus contrast level. Similar mean errors are maintained for muscle tissue. The standard deviation achieved by iFBP-AC is 1.2%. In contrast, the standard deviation yielded by iFBP is about 20.2%. The algorithm of iFBP-AC shows potential application of quantitative measurement of DECT. The contributions in this thesis aim to improve the clinical performance of DECT.

In this thesis, X-ray observations of four accretion powered pulsars are presented. Using RXTE observations of 4U 1907+09, we found three new pulse periods of the source. We found that the source spun-down almost at a constant rate of $dot nu$ = (-3.54 $pm 0.02) times 10^{-14}$ Hz s$^{-1}$ for more than 15 years. Using RXTE observations, X-ray flux related spectral and timing features in 2S 1417-62 were, in general, interpreted as a sign of a disc accretion with a similar geometry with a varying mass accretion rate, whereas spectral and timing features of the low X-ray flux regions were interpreted as a sign of possible temporary accretion geometry change prior to the next periastron. Using XMM-Newton and RXTE observations of SAX J2103.5+4545, we discovered quasi periodic oscillations around 0.044 Hz (22.7 sec) while the source was spinning-up with a rate of $(7.4pm0.9)times10^{-13}$Hz s$^{-1}$. In the X-ray spectrum, we also found a soft component consistent with a blackbody emission with ${rm{kT}}sim1.9$keV. Using RXTE observations, we also studied spectral evolution of Her X-1

Neste trabalho, foram desenvolvidos modelos semianalíticos para estudar os parâmetros de qualidade da imagem (contraste objeto, SC, e razão contraste-ruído, CNR) e a dose glandular normalizada (DgN ) em mamografia convencional e digital. As características de 161 amostras de tecidos mamários (coeficiente de atenuação linear e densidade) e os espectros de raios X mamográficos foram determinados experimentalmente, visando construir uma base de dados consistente destas grandezas para serem utilizadas nos modelos. Os coeficientes de atenuação linear foram determinados utilizando um feixe de raios X polienergético e um detector de Si(Li), e as densidades foram medidas utilizando o método da pesagem hidrostática. Os espectros de raios X de um equipamento industrial, que simula as qualidades de radiação de mamografia, foram medidos utilizando detectores de Si(Li), CdTe e SDD. A resposta de cada detector foi determinada por simulação Monte Carlo (MC). Os modelos semianalíticos desenvolvidos neste trabalho permitem calcular a deposição de energia na mama e no receptor de imagem, e foram utilizados para estudar o SC, a CNR e a DgN, para diferentes tipos de mama (espessura e glandularidade) e características do espectro incidente (combinação ânodo/filtro, potencial do tubo e camada semirredutora), bem como permitem avaliar a figura de mérito (FOM) em mamografia convencional e digital. Os resultados de coeficiente de atenuação e densidade para os diferentes grupos de tecidos mamários, mostram que os tecidos normais fibroglandulares e neoplásicos possuem características similares, enquanto tecidos normais adiposos apresentam menores valores destas grandezas. Os espectros medidos com cada detector, e devidamente corrigidos por suas respostas, mostram que os três tipos de detectores podem ser usados para determinar espectros mamográficos. Com base nos resultados de SC e CNR, foram estimados limites de detecção de nódulos em mamografia convencional e digital, que se mostraram similares entre si. Os resultados de SC, CNR e DgN obtidos também destacam a importância da escolha do modelo da mama e da base de dados de coeficiente de atenuação e espectros de raios X utilizados, uma vez que estes são responsáveis por uma grande variação nas grandezas estudadas. Além disso, os resultados de FOM mostram que, para mamas finas, a combinação Mo/Mo, tradicionalmente utilizada, apresenta o melhor desempenho, enquanto as combinações W/Rh e W/Ag são as mais indicadas para mamas espessas. Para mamas de espessuras médias, a melhor combinação depende da técnica utilizada (convencional ou digital). Finalmente, verificou-se que os modelos semianalíticos desenvolvidos permitem a obtenção de resultados de forma prática e rápida, com valores similares aos obtidos por simulação MC. Desta forma, estes modelos permitirão estudos futuros a respeito da otimização da mamografia, para outros tipos de mama e condições de irradiação. / In this work, semianalytical models were developed to study the image quality parameters (subject contrast, SC, and contrast-to-noise ratio, CNR) and the normalized average glandular dose (DgN) in conventional and digital mammography. The characteristics of 161 breast tissue samples (linear attenuation coefficient and density), and the mammographic x-ray spectra were determined experimentally, aiming to establish a consistent experimental database of these quantities to be used in the models. The linear attenuation coefficients were determined using a polyenergetic x-ray beam and a Si(Li) detector, and the densities were measured using the buoyancy method. The x-ray spectra from an industrial equipment, which reproduces the mammographic qualities, were measured using Si(Li), CdTe and SDD detectors. The responses of the detectors were determined using Monte Carlo (MC) simulation. The semianalytical models developed in this work allow computing the energy deposited in the breast and in the image receptor, and they were employed to study the SC, CNR and DgN, for different types of breast (thickness and glandularity) and incident x-ray spectra (anode/filter combination, tube potential and half-value layer). These models also allow evaluating the figure of merit (FOM) for conventional and digital mammography. The results of attenuation coefficient and density for the tissues analyzed show similar characteristics for the normal fibroglandular and neoplasic breast tissues, while the adipose tissue presents lower values of these quantities. From the x-ray spectra obtained using each detector, and corrected by their respective responses, it is observed that the three types of detectors can be used to determine mammographic spectra. Detection limits for nodules were estimated from the results of SC and CNR, and they were similar for both cases. The results of SC, CNR and DgN also show the importance of the choice of the breast model, and of the database of attenuation coefficient of breast tissues and x-ray spectra, since they largely influence the studied quantities. Besides, the results for FOM show that, for thin breasts, the Mo/Mo spectrum exhibits the better performance, while the W/Rh and W/Ag spectra are recommended for thicker breasts. For average thickness breasts, the more indicated spectra depend on the employed technique (conventional or digital). Finally, it was verified that the semianalytical models developed in this work provided results in a fast and simple way, with a good agreement with those obtained by using MC simulation. Therefore, these models allow further studies, regarding optimization of mammography, for other breast characteristics and irradiation parameters.