Evr. Dibella et al., A COMPARISON OF ROTATION-BASED METHODS FOR ITERATIVE RECONSTRUCTION ALGORITHMS, IEEE transactions on nuclear science, 43(6), 1996, pp. 3370-3376
Rotation-based projectors and backprojectors offer unique trade-offs b
etween accuracy, computational complexity, and smoothing, We analyzed
six different rotation methods for generating projections and iterativ
e reconstructions of tomographic data, Nearest neighbor, upsampled nea
rest neighbor, bilinear interpolation, and bicubic interpolation were
all used to determine the values at rotated grid points, A decompositi
on of the rotation transformation matrix into three components was als
o investigated, Linear and cubic interpolation were used in the three-
pass method. For all of the methods, mean normalized square errors wer
e computed, Our results demonstrate the tradeoffs associated with the
different methods and suggest that the three-pass method with cubic in
terpolation offers a computationally efficient approach with accuracy
between that of bilinear and bicubic interpolation.