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The mathematics of medical imaging : a beginner's guide / Timothy G. Feeman

Por: Tipo de material: TextoTextoSeries Detalles de publicación: New York : Springer, 2010Descripción: xii, 141 p. : il. ; 25 cmISBN:
  • 0387927115
  • 9780387927114
Tema(s): Clasificación LoC:
  • RC 78 .7 .D53 F43
Contenidos:
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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Tipo de ítem Biblioteca actual Biblioteca de origen Colección Signatura topográfica Copia número Estado Fecha de vencimiento Código de barras Reserva de ítems
Libros para consulta en sala Libros para consulta en sala Biblioteca Antonio Enriquez Savignac Biblioteca Antonio Enriquez Savignac COLECCIÓN RESERVA RC 78 .7 .D53 F43 (Navegar estantería(Abre debajo)) 1 No para préstamo 029123
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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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