1 citations · 1 across the 5 of their papers we have counts for
4 papers · 1 filter
A family of non-simple surfaces whose transport twistor spaces admit global blow-down maps
François Monard, Zhengyi Qi
In the literature on X-ray transform and Transport Twistor (TT) spaces, blow-down maps (or maps with holomorphic blow-down structure as defined in [BMP24]) are maps that desingular…
Local and Global Blow Downs of Transport Twistor Space
Jan Bohr, François Monard, Gabriel P. Paternain
Transport twistor spaces are degenerate complex -dimensional manifolds that complexify transport problems on Riemannian surfaces, appearing, e.g., in geometric inverse probl…
On solenoidal-injective and injective ray transforms of tensor fields on surfaces
Venkateswaran P. Krishnan, Rohit Kumar Mishra, François Monard
We first give a constructive answer to the attenuated tensor tomography problem on simple surfaces. We then use this result to propose two approaches to produce vector-valued integ…
Integral geometry on manifolds with boundary and applications
Joonas Ilmavirta, François Monard
We survey recent results on inverse problems for geodesic X-ray transforms and other linear and non-linear geometric inverse problems for Riemannian metrics, connections and Higgs…