Incluye referencias bibliográficas e índice

X-rays -- Introduction -- X-ray behavior and beer's law -- Lines in the plane -- Exercises -- The radon transform -- Definition -- Examples -- Linearity -- Phantoms -- The domain of R -- Exercises -- Back projection -- Definition and properties -- Examples -- Exercises -- Complex numbers -- The complex number system -- The complex exponential function -- Wave functions -- Exercises -- The Fourier transform -- Two big theorems -- The central slice theorem -- Filtered back projection -- The Hilbert transform -- Exercises -- Filter and convolution -- Introduction -- Convolution -- Filter resolution -- Convolution and the Fourier transform -- The Rayleigh-plancherel theorem -- Convolution in 2-dimensional space -- Convolution, B, and R -- Low-pass filters -- Exercises -- Discrete image reconstruction -- Introduction -- Sampling -- Discrete low-pass filters -- Discrete random transform -- Discrete functions and convolution -- Discrete Fourier transform -- Discrete back projection -- Interpolation -- Discrete image reconstruction -- Matrix forms -- FFT-the fast Fourier transform -- Fan beam geometry -- Exercises -- Algebraic reconstruction techniques -- Introduction -- Leas squares approximation -- Kaczmarz's method -- ART in medical imaging -- Variations of Kaczmarz's method -- ART or the Fourier transform? -- Exercises -- MRI-An overview -- Introduction -- Basic -- The Bloch equation -- The RF field -- RF pulse sequences; T1 and T2 -- Gradients and slice selection -- The imaging equation -- Exercises

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