Reconstruction from ray integrals with sources on a curve
VP Palamodov - Inverse Problems, 2003 - iopscience.iop.org
Inverse Problems, 2003•iopscience.iop.org
… A new formula is given for the reconstruction of a function in 3D space from a family of its
ray integrals. The cost of the … The problem of reconstruction of the function f from data of
ray integrals with sources on a curve … We state here a global two-fold integral
reconstruction formula from data of ray integrals g(y, v), y ∈ . The function f can be
evaluated on any chord of . No special weight is necessary. …
ray integrals. The cost of the … The problem of reconstruction of the function f from data of
ray integrals with sources on a curve … We state here a global two-fold integral
reconstruction formula from data of ray integrals g(y, v), y ∈ . The function f can be
evaluated on any chord of . No special weight is necessary. …
Abstract
A new formula is given for the reconstruction of a function in 3D space from a family of its ray integrals. The cost of the reconstruction is two-fold integration.
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