Fourier Transform To Explain The Process Of Computed Tomography

Computed tomography (CT) is a breakthrough technology used in medicine for diagnostic diseases. The same technique is used in other areas, such as aerospace chemistry, Radio astronomy, etc. The main objective of the CT is to reconstruct the internal part of an object without having to open it as a n...

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Detalles Bibliográficos
Autores: Chávez Ramírez, Edwin, Carbajal Peña, Efraín, Yauri Luque, Victoriano, Loli Prudencio, Cristian Amador
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Perú
Institución:Universidad Nacional Mayor de San Marcos
Repositorio:Revistas - Universidad Nacional Mayor de San Marcos
Idioma:español
OAI Identifier:oai:revistasinvestigacion.unmsm.edu.pe:article/13751
Acceso en línea:https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/13751
Access Level:acceso abierto
Palabra clave:Tomografía computarizada
transformada de Fourier
Problema inverso
Computed tomography
Fourier transformation
inverse problem
Descripción
Sumario:Computed tomography (CT) is a breakthrough technology used in medicine for diagnostic diseases. The same technique is used in other areas, such as aerospace chemistry, Radio astronomy, etc. The main objective of the CT is to reconstruct the internal part of an object without having to open it as a non-destructive test. To achieve this purpose, the CT uses the attention that X-rays undergo through this object with the information, the inner part of the object is reconstructed, that is to say the CT is an inverse problem.In this article uses the Fourier transform for the reconstruction of the internal part, for it is directly part of a continuous model, representing the density at the point (x, y) of a section, with a function p = p(x, y); and even though p is not required to be continuous, the Fourier method is more efficient and a better, more regular result is obtained p.