## Radiological Imaging: The Theory of Image Formation, Detection, and Processing, Volume 2Radiological Imaging: The Theory of Image Formation, Detection, and Processing is intended to prepare the student to do research in radiological imaging, to teach general image science within a radiographic context, and to help the student gain fluency with the essential analytical tools of linear systems theory and the theory of stochastic processes that are applicable to any imaging system. The book contains chapters devoted to the discussion of linear systems, Poisson processes, analysis of radiographic systems, radiographic image detectors, and the various aspects of three-dimensional or tomographic imaging. Computed tomography, psychophysics, and scattered radiation and its effect on image are also elucidated. Radiology technicians will find the book very invaluable. |

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### Contents

Chapter 1 The Clinical Setting | 1 |

Chapter 2 Theory of Linear Systems | 29 |

Chapter 3 Theory of Random Processes | 62 |

Chapter 4 Application of Linear Systems Theory to Radiographic Imaging | 117 |

Chapter 5 Detectors | 192 |

Chapter 6 Classical Tomography | 291 |

Chapter 7 Computed Tomography | 307 |

Chapter 8 Multiplex Tomography | 397 |

Chapter 10 Noise in Radiographic Images | 494 |

Chapter 11 Scattered Radiation | 561 |

The Dirac Delta Function | 595 |

The Fourier Transform | 602 |

Interaction of Photons with Matter | 619 |

653 | |

Author Index | 663 |

669 | |

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### Common terms and phrases

absorbed absorption Anger camera angle approximation array assume attenuation average back-projection beam calculate circ function coded aperture coded image collimator components Compton scattering consider convolution decoding deﬁned deﬁnition delta function denote density detected photons detector distribution dose electrons emulsion energy equation exposure factor ﬁeld ﬁlm ﬁlter ﬁnal ﬁnd ﬁnite ﬁrst ﬁxed ﬂuctuations ﬂuence ﬂux Fourier transform frequency gamma rays Gaussian geometry given imaging system impulse response incident input integral inverse magniﬁcation mean number measured noise nuclear medicine number of photons object obtained one-dimensional output phosphor phototube pinhole pinhole camera plane point source point spread function Poisson Poisson distribution Pr(K problem projection radiation radiographic Radon space random process random variable reconstruction resolution result sample scan scanner scattering scintillation screen Section shown in Fig signal space spatial speciﬁc theorem tomography transfer function transmission two-dimensional variance vector x rays zero zone plate