[图书][B] Computed tomography: algorithms, insight, and just enough theory
This book is primarily aimed at students, researchers, and practitioners who are interested in
the computational aspects of X-ray computed tomography (CT). It is also relevant for those …
the computational aspects of X-ray computed tomography (CT). It is also relevant for those …
X-ray tomography of one-forms with partial data
J Ilmavirta, K Monkkonen - SIAM Journal on Mathematical Analysis, 2021 - SIAM
If the integrals of a one-form over all lines meeting a small open set vanish and the form is
closed in this set, then the one-form is exact in the whole Euclidean space. We obtain a …
closed in this set, then the one-form is exact in the whole Euclidean space. We obtain a …
Integral geometry and unique continuation principles
K Mönkkönen - arXiv preprint arXiv:2107.02615, 2021 - arxiv.org
This is the introductory part of my PhD thesis on inverse problems arising in medical and
seismic imaging. The topics include X-ray tomography of scalar and vector fields with partial …
seismic imaging. The topics include X-ray tomography of scalar and vector fields with partial …
Partial data problems in scalar and vector field tomography
J Ilmavirta, K Mönkkönen - arXiv preprint arXiv:2103.14385, 2021 - arxiv.org
We prove that if $ P (D) $ is some constant coefficient partial differential operator and $ f $ is
a scalar field such that $ P (D) f $ vanishes in a given open set, then the integrals of $ f …
a scalar field such that $ P (D) f $ vanishes in a given open set, then the integrals of $ f …