10 citations · 10 across the 4 of their papers we have counts for
4 papers
On the -ray transform of planar symmetric 2-tensors
Kamran Sadiq, Otmar Scherzer, Alexandru Tamasan
In this paper we study the attenuated -ray transform of 2-tensors supported in strictly convex bounded subsets in the Euclidean plane. We characterize its range and reconstruct…
On the Range Characterization of the two dimensional attenuated Doppler Transform
Kamran Sadiq, Alexandru Tamasan
We characterize the range of the attenuated and non-attenuated -ray transform of compactly supported vector fields in the plane. The characterization is in terms of a Hilbert tr…
Uniqueness of minimizers of weighted least gradient problems arising in conductivity imaging
Amir Moradifam, Adrian Nachman, Alexandru Tamasan
We prove uniqueness for minimizers of the weighted least gradient problem \[\inf \left\lbrace \int_Ω a|Du|: \ \ u\in BV(Ω), \ \ u|_{\partial Ω}=f \right\rbrace.\] The weight functi…
Existence of functions of fixed trace and minimum weighted total variation
Gregory Spradlin, Alexandru Tamasan
For Ωa C^{2}-smooth domain, and a positive bounded continuous map a \in C(Ω), we prove existence of a minimizer of the functional u \mapsto $\int_Ω a|Du| over the space BV(Ω) of fu…