Martin C. Gutzwiller
Physica D: Nonlinear Phenomena
The integral transform, F( mu , nu )= integral -infinityinfinity D( eta mu , eta + nu ) exp(i mu eta 2)d eta applied to functions D(x, y) on the plane, arises when one applies tomographic reconstruction techniques to problems in radar detection. The authors show that this transform can be inverted to reconstruct the superposition D+D composed with A, where A is a fixed linear transformation of the plane. In the case relevant to applications, where D(x, y) is real valued and vanishes on the half plane x<0, D itself can be reconstructed.
Martin C. Gutzwiller
Physica D: Nonlinear Phenomena
Nimrod Megiddo
Journal of Symbolic Computation
Amir Ali Ahmadi, Raphaël M. Jungers, et al.
SICON
Tong Zhang, G.H. Golub, et al.
Linear Algebra and Its Applications