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Conical tilt geometry

In electron microscopy (Frank (1992)) one is faced with the case

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for some tex2html_wrap_inline4044 where tex2html_wrap_inline4046 . tex2html_wrap_inline3910 does not satisfy Orlov's condition, and (3.9) cannot be satisfied since tex2html_wrap_inline4050 for some tex2html_wrap_inline4052 . In that case we put

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With this choice of v, (3.8) is the minimal norm solution of Pf = g. A proper discretization along the lines of section 2.1 leads to the weighted backprojection algorithm of electron microscopy, see Frank (1992).



Frank Wuebbeling
Thu Sep 10 10:51:17 MET DST 1998