Add to ORKG2000 Mathematics Subject Classification: 53C24, 53C65, 53C21.This is a survey of the recent results by the author and Gunther Uhlmann on the boundary rigidity problem and on the associated tensor tomography problem.Author partly supported by NSF Grant DMS-0400869
We study on a compact Riemannian manifold with boundary the ray transform I which integrates symmetr...
This thesis deals with tensor completion for the solution of multidimensional inverse problems. We s...
The tensorial nature of a quantity permits us to formulate transformation rules for its components u...
Abstract. The boundary rigidity problem consists of determining a compact, Riemann-ian manifold with...
We survey recent progress in the problem of recovering a tensor field from its integrals along geode...
Abstract. We survey some recent progress on the problem of recovering a tensor from its integral alo...
In this thesis we work on the boundary rigidity problem, an inverse problem on a manifold with bound...
Presentation at Quasilinear Equations, Inverse Problems and Their Applications, August 23–29, 2021, ...
In this thesis we work on the boundary rigidity problem, an inverse problem on a manifold with bound...
We show that on simple surfaces the geodesic ray transform acting on solenoidal symmetric tensor fi...
International audienceWe study the boundary and lens rigidity problems on domains without assuming t...
Here we have developed formulations for the reconstruction of 3D tensor fields from planar (Radon) a...
Matrix-valued data sets arise in a number of applications including diffusion tensor magnetic resona...
International audienceTensor fields are useful for modeling the structure of biological tissues. The...
Abstract. The problem of polarization tomography is considered on a Riemannian manifold. This proble...
We study on a compact Riemannian manifold with boundary the ray transform I which integrates symmetr...
This thesis deals with tensor completion for the solution of multidimensional inverse problems. We s...
The tensorial nature of a quantity permits us to formulate transformation rules for its components u...
Abstract. The boundary rigidity problem consists of determining a compact, Riemann-ian manifold with...
We survey recent progress in the problem of recovering a tensor field from its integrals along geode...
Abstract. We survey some recent progress on the problem of recovering a tensor from its integral alo...
In this thesis we work on the boundary rigidity problem, an inverse problem on a manifold with bound...
Presentation at Quasilinear Equations, Inverse Problems and Their Applications, August 23–29, 2021, ...
In this thesis we work on the boundary rigidity problem, an inverse problem on a manifold with bound...
We show that on simple surfaces the geodesic ray transform acting on solenoidal symmetric tensor fi...
International audienceWe study the boundary and lens rigidity problems on domains without assuming t...
Here we have developed formulations for the reconstruction of 3D tensor fields from planar (Radon) a...
Matrix-valued data sets arise in a number of applications including diffusion tensor magnetic resona...
International audienceTensor fields are useful for modeling the structure of biological tissues. The...
Abstract. The problem of polarization tomography is considered on a Riemannian manifold. This proble...
We study on a compact Riemannian manifold with boundary the ray transform I which integrates symmetr...
This thesis deals with tensor completion for the solution of multidimensional inverse problems. We s...
The tensorial nature of a quantity permits us to formulate transformation rules for its components u...