TY - JOUR
AU - Hasan-Zadeh, Atefeh
PY - 2020/10/30
Y2 - 2021/06/22
TI - Geometric Modeling of Medical Filtered Back-Projection Images
JF - Asian Journal of Applied Sciences
JA - AJAS
VL - 8
IS - 5
SE -
DO - 10.24203/ajas.v8i5.6327
UR - https://ajouronline.com/index.php/AJAS/article/view/6327
SP -
AB - <p>This paper deals with the geometric concepts of medical imaging. The main result is proving this novel achievement that the time-frequency projections from some angles in the filtered back-projection image can be calculated by the surface area of the convex body and symplectic Holmes-Thompson volume. For this purpose, the necessary notions are introduced by the surface area of a convex body of the corresponding projective spaces, Radon and Fourier transform in integral geometry, Holmes-Thompson measure in Finsler-Minkowsi-symplectic geometry. This result leads to the other correspondence between basic notions of medical imaging such as the projections from some angles which are equally spaced, the image-frequency of these projections, the low image correctness, and the corresponding notions of Finsler geometry.</p>
ER -