Optimising the benefits of spectral x-ray imaging in material decomposition

The extra energy information provided by spectral x-ray imaging using novel photon counting x-ray detectors may allow for improved decomposition of materials compared to conventional and dual-energy imaging. The information content of spectral x-ray images, however, depends on how the photons are grouped together. This thesis deals with the theoretical aspect of optimising material discrimination in spectral x-ray imaging. A novel theoretical model was developed to map the confidence region of material thicknesses to determine the uncertainties in thickness quantification. Given the thickness uncertainties, photon counts per pixel can be optimised for material quantification in the most dose efficient manner. Minimisation of the uncertainties enables the optimisation of energy bins for material discrimination. Using Monte Carlo simulations based on the BEAMnrc package, material decomposition of up to 3 materials was performed on projection images, which led to the validation of the theoretical model. With the inclusion of scattered radiation, the theoretical optima of bin border energies were accurate to within 2 keV. For the simulated photon counts, excellent agreement was achieved between the theoretical and the BEAMnrc models regarding the signal-to-noise ratio in a decomposed image, particularly for the decomposition of two materials. Finally, this thesis examined the implementation of the Medipix detector. The equalisation of pixel sensitivity variations and the processing of photon counting projection images were studied. Measurements using the Medipix detector demonstrated promising results in the charge summing and the spectroscopic modes of acquisition, even though the spectroscopic performance of the detector was relatively limited due to electronic issues known to degrade the equalisation process. To conclude, the theoretical model is sufficient in providing guidelines for scanning parameters in spectral x-ray imaging and may be applied on spectral projection measurements using e.g. the redesigned MedipixRX detector with improved spectroscopic performance, when it becomes available.

[1]  Christoph Herrmann,et al.  Impact of scattered radiation on spectral CT , 2009, Medical Imaging.

[2]  C. Mistretta,et al.  Noise reduction in spectral CT: reducing dose and breaking the trade-off between image noise and energy bin selection. , 2011, Medical physics.

[3]  R. Dinapoli,et al.  Medipix2: A 64-k pixel readout chip with 55-/spl mu/m square elements working in single photon counting mode , 2001 .

[4]  Leif Gustafsson,et al.  Characterisation of a pixel readout chip for medical X-ray imaging , 2004 .

[5]  M J Yaffe,et al.  Theoretical optimization of dual-energy x-ray imaging with application to mammography. , 1985, Medical physics.

[6]  Patrick Breugnon,et al.  Large surface X-ray pixel detector , 2001 .

[7]  Daniel Turecek,et al.  Characterization of Medipix3 With Synchrotron Radiation , 2011, IEEE Transactions on Nuclear Science.

[8]  R. Steadman,et al.  Status of Direct Conversion Detectors for Medical Imaging With X-Rays , 2009, IEEE Transactions on Nuclear Science.

[9]  M. Danielsson,et al.  Photon-counting spectral computed tomography using silicon strip detectors: a feasibility study , 2010, Physics in medicine and biology.

[10]  M. Fiederle,et al.  Optimization of Medipix-2 Threshold Masks for Spectroscopic X-Ray Imaging , 2009, IEEE Transactions on Nuclear Science.

[11]  A. Butlera,et al.  Bio-medical X-ray imaging with spectroscopic pixel detectors , 2008 .

[12]  G. Csákány [Medical radiation exposure of the population]. , 1960, Nepegeszsegugy.

[13]  Xiaochuan Pan,et al.  Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan , 2005, Physics in medicine and biology.

[14]  Xiaochuan Pan,et al.  Backprojection-filtration reconstruction without invoking a spatially varying weighting factor. , 2010, Medical physics.

[15]  Rafidah Zainon,et al.  Toward quantifying the composition of soft tissues by spectral CT with Medipix3. , 2012, Medical physics.

[16]  R. F. Wagner,et al.  SNR and DQE analysis of broad spectrum X-ray imaging , 1985 .

[17]  G. Barnes,et al.  Semiempirical model for generating tungsten target x-ray spectra. , 1991, Medical physics.

[18]  Gisela Anton,et al.  ROSI—an object-oriented and parallel-computing Monte Carlo simulation for X-ray imaging , 2003 .

[19]  J. Ronaldson Quantitative soft-tissue imaging by spectral CT with Medipix3 , 2012 .

[20]  N. H. Clinthorne,et al.  Basis material decomposition using triple-energy X-ray computed tomography , 1999, IMTC/99. Proceedings of the 16th IEEE Instrumentation and Measurement Technology Conference (Cat. No.99CH36309).

[21]  G. Hounsfield Computerized transverse axial scanning (tomography): Part I. Description of system. 1973. , 1973, The British journal of radiology.

[22]  Gerhard Martens,et al.  Preclinical spectral computed tomography of gold nano-particles , 2011 .

[23]  Willi A Kalender,et al.  Spectral optimization for dedicated breast CT. , 2010, Medical physics.

[24]  Avinash C. Kak,et al.  Principles of computerized tomographic imaging , 2001, Classics in applied mathematics.

[25]  Axel Thran,et al.  Sensitivity of Photon-Counting Based ${\rm K}$-Edge Imaging in X-ray Computed Tomography , 2011, IEEE Transactions on Medical Imaging.

[26]  J. Boone,et al.  An accurate method for computer-generating tungsten anode x-ray spectra from 30 to 140 kV. , 1997, Medical physics.

[27]  E. Roessl,et al.  Optimal energy threshold arrangement in photon-counting spectral x-ray imaging , 2006, 2006 IEEE Nuclear Science Symposium Conference Record.

[28]  Albert Rose,et al.  A Unified Approach to the Performance of Photographic Film, Television Pickup Tubes, and the Human Eye * --> , 1946 .

[29]  E. McCullough,et al.  Photon attenuation in computed tomography. , 1975, Medical physics.

[30]  I ScottKirkpatrick Optimization by Simulated Annealing: Quantitative Studies , 1984 .

[31]  Xinming Liu,et al.  A dual-energy subtraction technique for microcalcification imaging in digital mammography--a signal-to-noise analysis. , 2002, Medical physics.

[32]  Spectrum measurement using Medipix3 in Charge Summing Mode , 2012 .

[33]  G. Anton,et al.  Quantitative Material Reconstruction in CT with Spectroscopic X-ray Pixel Detectors -- a Simulation Study , 2006, 2006 IEEE Nuclear Science Symposium Conference Record.

[34]  G L Zeng,et al.  Two-dimensional iterative region-of-interest (ROI) reconstruction from truncated projection data. , 2007, Medical physics.

[35]  Frank Verhaegen,et al.  Monte Carlo simulation of a computed tomography x-ray tube , 2007, Physics in medicine and biology.

[36]  R. Doesburg The MARS Photon Processing Cameras for Spectral CT , 2013 .

[37]  Norbert Wermes,et al.  Medical X-ray Imaging with Energy Windowing , 2001 .

[38]  P. Shikhaliev Computed tomography with energy-resolved detection: a feasibility study , 2008, Physics in medicine and biology.

[39]  Karl Stierstorfer,et al.  Dual energy with dual source CT and kVp switching with single source CT: a comparison of dual energy performance , 2009, Medical Imaging.

[40]  A. Butler,et al.  First CT using Medipix3 and the MARS-CT-3 spectral scanner , 2011 .

[41]  P. Delpierre,et al.  XPAD3: A new photon counting chip for X-ray CT-scanner , 2007 .

[42]  G. Anton,et al.  The influence of energy weighting on X-ray imaging quality , 2004 .

[43]  Jeffrey C. Lagarias,et al.  Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions , 1998, SIAM J. Optim..

[44]  N. Wermes,et al.  CIX: a detector for spectrally enhanced x-ray imaging by simultaneous counting and integrating , 2008, SPIE Medical Imaging.

[45]  F. Spiers Physics of Radiology , 1968, Nature.

[46]  S. Riederer,et al.  Selective iodine imaging using K-edge energies in computerized x-ray tomography. , 1977, Medical physics.

[47]  Sabee Molloi,et al.  Least squares parameter estimation methods for material decomposition with energy discriminating detectors. , 2010, Medical physics.

[48]  J. Boone Normalized glandular dose (DgN) coefficients for arbitrary X-ray spectra in mammography: computer-fit values of Monte Carlo derived data. , 2002, Medical physics.

[49]  A. Butler,et al.  Spectroscopic (multi-energy) CT distinguishes iodine and barium contrast material in MICE , 2010, European Radiology.

[50]  Philip J. Bones,et al.  Development of a CT scanner based on the Medipix family of detectors , 2010, Optical Engineering + Applications.

[51]  Norbert J. Pelc,et al.  Sufficient Statistics as a Generalization of Binning in Spectral X-ray Imaging , 2011, IEEE Transactions on Medical Imaging.

[52]  T. Flohr,et al.  Spectral Computed Tomography , 2012 .

[53]  Adam S Wang,et al.  Pulse pileup statistics for energy discriminating photon counting x-ray detectors. , 2011, Medical physics.

[54]  E. Roessl,et al.  K-edge imaging in x-ray computed tomography using multi-bin photon counting detectors , 2007, Physics in medicine and biology.

[55]  S. Molloi,et al.  Segmentation and quantification of materials with energy discriminating computed tomography: a phantom study. , 2010, Medical physics.

[56]  Xiaochuan Pan,et al.  Region-of-interest image reconstruction in circular cone-beam microCT. , 2007, Medical physics.

[57]  Emil Y. Sidky,et al.  Region of interest reconstruction from truncated data in circular cone-beam CT , 2006, IEEE Transactions on Medical Imaging.

[58]  J. Schlomka,et al.  Experimental feasibility of multi-energy photon-counting K-edge imaging in pre-clinical computed tomography , 2008, Physics in medicine and biology.

[59]  Thilo Michel,et al.  Contrast agent recognition in small animal CT using the Medipix2 detector , 2009 .

[60]  J S. Coursey,et al.  X-ray Transition Energies (version 1.0) , 2003 .

[61]  Xiaochuan Pan,et al.  Exact image reconstruction on PI-lines from minimum data in helical cone-beam CT. , 2004, Physics in medicine and biology.

[62]  Katsuyuki Taguchi,et al.  An analytical model of the effects of pulse pileup on the energy spectrum recorded by energy resolved photon counting x-ray detectors , 2010, Medical Imaging.

[63]  J. Strzelczyk The Essential Physics of Medical Imaging , 2003 .

[64]  A. Cormack Representation of a Function by Its Line Integrals, with Some Radiological Applications , 1963 .

[65]  W. Kalender,et al.  Evaluation of a prototype dual-energy computed tomographic apparatus. II. Determination of vertebral bone mineral content. , 1986, Medical physics.

[66]  G. Meddeler,et al.  A Readout Chip for a 64 x 64 Pixel Matrix with 15-bit Single Photon Counting* , 1997 .

[67]  T. Yoshizumi Dual Energy CT in Clinical Practice. , 2011, Medical physics.

[68]  Yong Du,et al.  Investigation of the use of photon counting x-ray detectors with energy discrimination capability for material decomposition in micro-computed tomography , 2007, SPIE Medical Imaging.

[69]  J. H. Hubbell,et al.  XCOM: Photon Cross Section Database (version 1.2) , 1999 .

[70]  Michael Campbell,et al.  The Medipix3RX: a high resolution, zero dead-time pixel detector readout chip allowing spectroscopic imaging , 2013 .

[71]  Nate D. Tang,et al.  Using algebraic reconstruction in computed tomography , 2012, IVCNZ '12.

[72]  R. Alvarez Near optimal energy selective x-ray imaging system performance with simple detectors. , 2010, Medical physics.

[73]  P. H. Butler,et al.  Pixel sensitivity variations in a CdTe-Medipix2 detector using poly-energetic x-rays , 2011 .

[74]  M. Macari,et al.  Dual energy CT: preliminary observations and potential clinical applications in the abdomen , 2008, European Radiology.

[75]  M. Reiser,et al.  Material differentiation by dual energy CT: initial experience , 2007, European Radiology.

[76]  Lei Xing,et al.  Investigation of X-ray Fluorescence Computed Tomography (XFCT) and K-Edge Imaging , 2012, IEEE Transactions on Medical Imaging.

[77]  J. H. Hubbell,et al.  Tables of X-Ray Mass Attenuation Coefficients and Mass Energy-Absorption Coefficients 1 keV to 20 MeV for Elements Z = 1 to 92 and 48 Additional Substances of Dosimetric Interest , 1995 .

[78]  L. MacDonald,et al.  Quantitative material characterization from multi-energy photon counting CT. , 2013, Medical physics.

[79]  L. Feldkamp,et al.  Practical cone-beam algorithm , 1984 .

[80]  W. Kalender X-ray computed tomography , 2006, Physics in medicine and biology.

[81]  D. Rogers,et al.  BEAMDP as a General-Purpose Utility , 2009 .

[82]  C. Herrmann,et al.  ChromAIX: Fast photon-counting ASIC for Spectral Computed Tomography , 2011 .

[83]  E. Roessl,et al.  Cramér–Rao lower bound of basis image noise in multiple-energy x-ray imaging , 2009, Physics in medicine and biology.

[84]  Polad M Shikhaliev,et al.  Beam hardening artefacts in computed tomography with photon counting, charge integrating and energy weighting detectors: a simulation study , 2005, Physics in medicine and biology.

[85]  T. Slovis,et al.  Children, computed tomography radiation dose, and the As Low As Reasonably Achievable (ALARA) concept. , 2003, Pediatrics.

[86]  Gisela Anton,et al.  Material reconstruction with spectroscopic pixel X-ray detectors , 2005 .

[87]  A. Macovski,et al.  Energy-selective reconstructions in X-ray computerised tomography , 1976, Physics in medicine and biology.

[88]  Iwan Kawrakow,et al.  EGSnrcMP: the multi-platform environment for EGSnrc , 2006 .

[89]  R. Alvarez Estimator for photon counting energy selective x-ray imaging with multibin pulse height analysis. , 2011, Medical physics.

[90]  R. Plackett,et al.  Characterization of the Medipix3 pixel readout chip , 2011 .

[91]  Hans Bornefalk XCOM intrinsic dimensionality for low-Z elements at diagnostic energies. , 2012, Medical physics.

[92]  R Aamir,et al.  Characterization of Si and CdTe sensor layers in Medipix assemblies using a microfocus x-ray source , 2011, 2011 IEEE Nuclear Science Symposium Conference Record.

[93]  Erik Fredenberg,et al.  Energy resolution of a photon-counting silicon strip detector , 2010, 2101.07789.

[94]  R. Ballabriga,et al.  The Design and Implementation in $0.13\mu m$ CMOS of an Algorithm Permitting Spectroscopic Imaging with High Spatial Resolution for Hybrid Pixel Detectors , 2009 .

[95]  Sabee Molloi,et al.  Quantification of breast density with spectral mammography based on a scanned multi-slit photon-counting detector: a feasibility study , 2012, Physics in medicine and biology.

[96]  C. McCollough,et al.  Quantitative imaging of element composition and mass fraction using dual-energy CT: three-material decomposition. , 2009, Medical physics.

[97]  Manuel Dierick,et al.  Octopus, a fast and user-friendly tomographic reconstruction package developed in LabView® , 2004 .

[98]  F. Verhaegen,et al.  Dual-energy CT-based material extraction for tissue segmentation in Monte Carlo dose calculations , 2008, Physics in medicine and biology.

[99]  G T Barnes,et al.  Molybdenum target x-ray spectra: a semiempirical model. , 1991, Medical physics.

[100]  P. Shikhaliev,et al.  Photon counting spectral CT versus conventional CT: comparative evaluation for breast imaging application , 2011, Physics in medicine and biology.

[101]  B. Currie Monte Carlo Investigation into Superficial Cancer Treatments of the Head and Neck , 2007 .

[102]  G. Anton,et al.  The energy weighting technique: measurements and simulations , 2005 .

[103]  O. Bunk,et al.  X-ray imaging with the PILATUS 100k detector. , 2008, Applied radiation and isotopes : including data, instrumentation and methods for use in agriculture, industry and medicine.

[104]  Robert Doesburg,et al.  Characterization of Medipix3 with the MARS readout and software , 2011 .

[105]  Polad M Shikhaliev,et al.  Tilted angle CZT detector for photon counting/energy weighting x-ray and CT imaging , 2006, Physics in medicine and biology.

[106]  R. Kelly,et al.  Megavoltage planar and cone-beam imaging with low-Z targets: dependence of image quality improvement on beam energy and patient separation. , 2009, Medical physics.

[107]  D. Rogers Fifty years of Monte Carlo simulations for medical physics , 2006, Physics in medicine and biology.

[108]  M. Campbell,et al.  Imaging properties of the Medipix2 system exploiting single and dual energy thresholds , 2004, IEEE Transactions on Nuclear Science.

[109]  A. Butler,et al.  Improving and characterising the threshold equalisation process for multi-chip Medipix3 cameras in Single Pixel Mode , 2011, 2011 IEEE Nuclear Science Symposium Conference Record.

[110]  Michael Campbell,et al.  Medipix3: A 64 k pixel detector readout chip working in single photon counting mode with improved spectrometric performance , 2011 .

[111]  Sabee Molloi,et al.  Imaging of nanoparticles with dual-energy computed tomography , 2011, Physics in medicine and biology.