16 citations · 42 across the 16 of their papers we have counts for
16 papers
A non-iterative method for electrical property tomography based on a simple formula
Victor Palamodov
A non-iterative method of reconstruction is proposed from data of MRI system and of a harmonic electro-magnetic field at Larmor frequency. The method is based on the exact analytic…
A method of reconstruction for X-ray phase contrast imaging with arbitrary Fresnel number
Victor Palamodov
New lensless diffractive X-ray technic for micro-scale imaging of biological tissue is based on quantitative phase retrieval schemes. By incorporating refraction, this method yield…
Exact inversion of Funk-Radon transforms with non-algebraic geometries
Victor Palamodov
Any even function defined on 2-sphere is reconstructed from its integrals over big circles by means of the classical Funk formula. For the non-geodesic Funk transform on the sphere…
Algebraic symplectic reduction and quantization of singular spaces
Victor Palamodov
The algebraic method of singular reduction is applied for non regular group action on manifolds which provides singular symplectic spaces. The problem of deformation quantization o…
A geometric characterization of Poisson type distributions
Victor P. Palamodov
Tempered distributions on Rn that have the Poisson structure are characterized in terms of geometry of its support and spectrum
A. Cormack's last inversion formula and a FBP reconstruction
Victor Palamodov
A reconstruction of a function from integrals over the family of confocal paraboloids is given by a FBP formula.
Time reversal in photoacoustic tomography and levitation in a cavity
Victor Palamodov
A class of photoacoustic acquisition geometries in n-space is considered such that the spherical mean transform admits an exact filtered back projection reconstruction formula. The…
On a non-elliptic attenuated geodesic transform
Victor P. Palamodov
For a compact Riemannian surface with boundary we study attenuated geodesic transform of functions and differential forms. We generalize several known results on uniqueness and sta…
Inverse kinematic problem and boundary rigidity of Riemannian surfaces
Victor Palamodov
Given a compact manifold with boundary with unknown Riemannian metric. The problem is to reconstruct the metric in a class of conformal metrics from knowledge of lengths of all clo…
A new reconstruction method in integral geometry
Victor Palamodov
A general method for analytic inversion of geometric integral transforms is proposed
Hartogs extension for systems of differential equations
Victor Palamodov
The phenomenon of removable singularity is studied for overedetermined systems of differential equations. We show that the dimension of the characteristic variety plays a key role…
Remarks on the general Funk-Radon transform and thermoacoustic tomography
Victor Palamodov
We study properties of the general integral transform defined for a family of hypersurfaces in a smooth manifold. Estimates of Sobolev norms, range conditions and approximation the…
Infinitesimal deformation quantization of complex analytic spaces
Victor Palamodov
Global constructions of quantization deformation and obstructions are discussed for an arbitrary complex analytic space in terms of adapted (analytic) Hochschild cohomology. For K3…
Conformal equivalent metrics in a plane domain are uniquely determined from travel times
Victor Palamodov
An integral stability estimate is proved for refraction coefficients of two conformal metrics in a plane domain in terms of its travel times. No assumption on absence of conjugate…
Relaxed Gabor expansion at critical density and a `certainty principle'
V. P. Palamodov
A version of Gabor expansion over a lattice of critical density is shown to converge to an arbitrary function that belongs to domain of the oscillator operator. This expansion is u…
Modular deformations of analytic polyhedra
V. P. Palamodov
The theory of modular deformations is generalized for the category of complex analytic polyhedra which includes germs of complex space as well as any compact complex analytic space…