Banca de DEFESA: LUIZ CARLOS SOARES FERNANDES

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : LUIZ CARLOS SOARES FERNANDES
DATA : 26/10/2018
HORA: 14:00
LOCAL: UFCA
TÍTULO:

The Mathematics Behind the Computerized Tomography: Projection Method

PALAVRAS-CHAVES:

Computed Tomography. Systems and Linear Inequations. Mathematical Research.

PÁGINAS: 77
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
RESUMO:

As important as knowing the practical procedures is knowing the mathematics behind
them. In this work, we present the mathematics behind computed tomography, that is,
we study the mathematical fundamentals used in computed tomography. For this, we will
make the mathematical model of the computed tomography using matrices and linear systems.
We will see that these linear systems are equivalent to the image search generated
by the CT. To obtain such systems, mark the algorithms of Kaczmarz and Cimmino, we
will see that these algorithms approach a solution of these systems. It is worth pointing
out that this work has as its main objective the material for the teacher of the physical,
algarbrica and computational form.

MEMBROS DA BANCA:
Interno - 1367703 - CLARICE DIAS DE ALBUQUERQUE
Interno - 1971654 - VALDINES LEITE DE SOUSA JUNIOR
Presidente - 2374479 - VALDIR FERREIRA DE PAULA JUNIOR