Singular value decomposition for the truncated Hilbert transform: part II
Abbreviated Journal Title
IMAGE-RECONSTRUCTION; Mathematics, Applied; Physics, Mathematical
Hilbert transform is a very important tool in computed tomography. Image reconstruction from truncated tomographic data can be reduced to the problem of inverting the Hilbert transform (H(14)phi)(y) := 1/pi integral(a4)(a1) phi(x)/x-y dx = psi(y) knowing psi on the interval [a(2), a(3)], where a(1) < a(2) < a(3) < a(4). In this paper, we obtain a singular value decomposition for the operator H(14).
"Singular value decomposition for the truncated Hilbert transform: part II" (2011). Faculty Bibliography 2010s. 1464.