| E. V. R. Di Bella, A. B. Barclay, R. L. Eisner, and R. W. Schafer, "A comparison of rotation-based methods for iterative reconstruction algorithms, " IEEE Trans. Nucl. Sci., vol. 43, pp. 3370--3376, Dec. 1996. |
....for a very broad class of interpolation methods. I. BACKPROJECTION Methods for the backprojection step in tomographic image reconstruction differ in their accuracy and computational complexity, and there have recently been several papers reporting empirical comparisons of various approaches [1 5]. This paper shows analytically that two dimensional pixel driven backprojection is exactly equivalent to rotationbased ray driven backprojection under remarkably general conditions. If complete 2D parallel projections g # (r) of a 2D object f(x, y) are available: g # (r) # f(r cos # ....
E V R Di Bella, A B Barclay, R L Eisner, and R W Schafer. Comparison of rotation-based methods for iterative reconstruction algorithms. In Proc. IEEE Nuc. Sci. Symp. Med. Im. Conf., volume 2, pages 1146--50, 1995.
....between the world of natural phenomena, modeled by continuously defined variables, and the world of computers, where discrete and in practice, finite data reign. This is especially true of imaging where such models may include general transformations such as rotations or translations [1], data reduction and magnification [2] Cartesian to polar coordinate conversions [3] 5] data reslicing or resampling [6] 8] image warping [9] 10] gradient estimations [11] and many others. Common to all these operations is the need to access the value of a signal in between samples. ....
E. V. R. Di Bella, A. B. Barclay, R. L. Eisner, and R. W. Schafer, "A comparison of rotation-based methods for iterative reconstruction algorithms, " IEEE Trans. Nucl. Sci., vol. 43, pp. 3370--3376, Dec. 1996.
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E. V. R. Di Bella, A. B. Barclay, R. L. Eisner, and R. W. Schafer, "A comparison of rotation-based methods for iterative reconstruction algorithms, " IEEE Trans. Nucl. Sci., vol. 43, pp. 3370--3376, Dec. 1996.
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