4 papers
Bridging powder and multi-crystal diffraction with basis-adaptive texture tomography
Martin Sæbye Carøe, Mads Allerup Carlsen, Felix Tristan Frankus +7
In spatially resolved X-ray diffraction experiments using narrow beams, diffraction patterns from polycrystalline materials often fall between two well-served regimes. Fine-grained…
Interpolating between Tikhonov regularization and spectral cutoff
Martin Sæbye Carøe, Mirza Karamehmedović, Pierre Maréchal
Regularizing a linear ill-posed operator equation can be achieved by manipulating the spectrum of the operator's pseudo-inverse. Tikhonov regularization and spectral cutoff are wel…
Direct detection of hydrogen reveals a new macroscopic crustal water reservoir on early Mars
Estrid Buhl Naver, Katrine Wulff Nikolajsen, Martin Sæbye Carøe +13
The next great leap in Martian exploration will be the return of samples to Earth. To ensure the maximum scientific return from studying these samples, the development and utilisat…
Estimates on the stability constant for the truncated Fourier transform
Mirza Karamehmedović, Martin Sæbye Carøe, Faouzi Triki
In this paper we are interested in the inverse problem of recovering a compact supported function from its truncated Fourier transform. We derive new Lipschitz stability estimates…