Title :
Regularisation of the limited data computed tomography problem via the boundary element method
Author_Institution :
Dept. of Stat., Macquarie Univ., North Ryde, NSW, Australia
Abstract :
We present a new variational approach to the problem of computed tomography reconstruction from sparse data. We use a Tikhonov regularisation (quite different from that of Louis [1985]) which deals without approximation with discrete or nonuniform grids. Our algorithm requires calculation of a Green´s function on a finite region and we show how this can be done very efficiently computationally using the numerical/analytic boundary element method (BEM)
Keywords :
Green´s function methods; boundary-elements methods; computerised tomography; signal reconstruction; tomography; variational techniques; Green´s function; Tikhonov regularisation; boundary element method; discrete grids; limited data computed tomography problem; nonuniform grid; reconstruction; variational approach; Algorithm design and analysis; Boundary element methods; Civil engineering; Computed tomography; Convolution; Distributed computing; Image processing; Inverse problems; Statistics; White noise;
Conference_Titel :
Image Processing, 1995. Proceedings., International Conference on
Conference_Location :
Washington, DC
Print_ISBN :
0-8186-7310-9
DOI :
10.1109/ICIP.1995.537507
