Fundamentals of Computerized Tomography: Image Reconstruction from ProjectionsThis revised and updated second edition – now with two new chapters - is the only book to give a comprehensive overview of computer algorithms for image reconstruction. It covers the fundamentals of computerized tomography, including all the computational and mathematical procedures underlying data collection, image reconstruction and image display. Among the new topics covered are: spiral CT, fully 3D positron emission tomography, the linogram mode of backprojection, and state of the art 3D imaging results. It also includes two new chapters on comparative statistical evaluation of the 2D reconstruction algorithms and alternative approaches to image reconstruction. |
Contents
| 1 | |
An Overview of the Process of CT | 27 |
Physical Problems Associated with Data Collection in CT | 37 |
Computer Simulation of Data Collection in CT | 53 |
Data Collection and Reconstruction of the Head Phantom | 67 |
Basic Concepts of Reconstruction Algorithms | 100 |
Backprojection | 125 |
Other Transform Methods for Parallel Beams | 159 |
Other editions - View all
Fundamentals of Computerized Tomography: Image Reconstruction from Projections Gabor T. Herman No preview available - 2009 |
Fundamentals of Computerized Tomography: Image Reconstruction from Projections Gabor T. Herman No preview available - 2012 |
Common terms and phrases
application approximation assume attenuation coefficient backprojection bandlimiting basis functions blobs calibration measurement column computerized tomography converges convolving cross section data collection defined denote density detector dimensionality display divergent beam elemental object energy estimate evaluation example FBP method Fourier transform G.T. Herman Gaussian random variable grid Hamming window head phantom IEEE image reconstruction image vector implementation IROI iterative step J-dimensional vector line integrals linear attenuation coefficient linear interpolation mathematical matrix minimizes multiple nearest neighbor interpolation nonnegative number of photons obtained optimization P-value parameters picture distance measures picture function picture region pixel polychromatic positron emission tomography problem produced Radon transform ray sum real numbers reconstruction algorithms reconstruction from projections referred relative linear attenuation relaxation method sample scanning mode scatter selective smoothing shown in Fig SNARK09 standard geometry standard projection data three-dimensional tomography tumor two-dimensional voxels window function x-ray x-ray source zero