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Author |
Kadu, A.; van Leeuwen, T.; Batenburg, K.J. |
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Title |
CoShaRP : a convex program for single-shot tomographic shape sensing |
Type |
A1 Journal article |
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Year |
2021 |
Publication |
Inverse Problems |
Abbreviated Journal |
Inverse Probl |
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Volume |
37 |
Issue |
10 |
Pages |
105005 |
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Keywords |
A1 Journal article; Electron microscopy for materials research (EMAT) |
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Abstract |
We introduce single-shot x-ray tomography that aims to estimate the target image from a single cone-beam projection measurement. This linear inverse problem is extremely under-determined since the measurements are far fewer than the number of unknowns. Moreover, it is more challenging than conventional tomography, where a sufficiently large number of projection angles forms the measurements, allowing for a simple inversion process. However, single-shot tomography becomes less severe if the target image is only composed of known shapes. This paper restricts analysis to target image function that can be decomposed into known compactly supported non-negative-valued functions termed shapes. Hence, the shape prior transforms a linear ill-posed image estimation problem to a non-linear problem of estimating the roto-translations of the shapes. We circumvent the non-linearity by using a dictionary of possible roto-translations of the shapes. We propose a convex program CoShaRP, to recover the dictionary coefficients successfully. CoShaRP relies on simplex-type constraints and can be solved quickly using a primal-dual algorithm. The numerical experiments show that CoShaRP recovers shape stably from moderately noisy measurements. |
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Wos |
000691743700001 |
Publication Date |
2021-07-23 |
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Series Issue |
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Edition |
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ISSN |
0266-5611 |
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Additional Links |
UA library record; WoS full record |
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Impact Factor |
1.62 |
Times cited |
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Open Access |
OpenAccess |
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Notes |
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Approved |
Most recent IF: 1.62 |
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Call Number |
UA @ admin @ c:irua:181617 |
Serial |
6859 |
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Permanent link to this record |
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Author |
Batenburg, K.J.; Bals, S.; Sijbers, J.; Van Tendeloo, G. |
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Title |
DART explained: how to carry out a discrete tomography reconstruction |
Type |
P1 Proceeding |
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Year |
2008 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
295-296 |
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Keywords |
P1 Proceeding; Electron microscopy for materials research (EMAT); Vision lab |
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Publisher |
Springer |
Place of Publication |
Berlin |
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Wos |
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Publication Date |
0000-00-00 |
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Series Issue |
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Edition |
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ISSN |
978-3-540-85154-7 |
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Additional Links |
UA library record |
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Impact Factor |
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Times cited |
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Open Access |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ lucian @ c:irua:77914 |
Serial |
606 |
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Permanent link to this record |
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Author |
Van Eyndhoven, G.; Batenburg, K.J.; van Oers, C.; Kurttepeli, M.; Bals, S.; Cool, P.; Sijbers, J. |
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Title |
Reliable pore-size measurements based on a procedure specifically designed for electron tomography measurements of nanoporous samples |
Type |
P3 Proceeding |
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Year |
2014 |
Publication |
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Abbreviated Journal |
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Keywords |
P3 Proceeding; Electron microscopy for materials research (EMAT); Vision lab; Laboratory of adsorption and catalysis (LADCA) |
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Place of Publication |
S.l. |
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Wos |
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Publication Date |
0000-00-00 |
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Additional Links |
UA library record |
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Times cited |
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Open Access |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ lucian @ c:irua:124548 |
Serial |
2866 |
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Permanent link to this record |
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Author |
Sentosun, K.; Lobato, I.; Bladt, E.; Zhang, Y.; Palenstijn, W.J.; Batenburg, K.J.; Van Dyck, D.; Bals, S. |
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Title |
Artifact Reduction Based on Sinogram Interpolation for the 3D Reconstruction of Nanoparticles Using Electron Tomography |
Type |
A1 Journal article |
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Year |
2017 |
Publication |
Particle and particle systems characterization |
Abbreviated Journal |
Part. Part. Syst. Charact. |
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Volume |
34 |
Issue |
34 |
Pages |
1700287 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Electron microscopy for materials research (EMAT); Vision lab |
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Abstract |
Electron tomography is a well-known technique providing a 3D characterization of the morphology and chemical composition of nanoparticles. However, several reasons hamper the acquisition of tilt series with a large number of projection images, which deteriorate the quality of the 3D reconstruction. Here, an inpainting method that is based on sinogram interpolation is proposed, which enables one to reduce artifacts in the reconstruction related to a limited tilt series of projection images. The advantages of the approach will be demonstrated for the 3D characterization of nanoparticles using phantoms and several case studies. |
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Wos |
000418416100005 |
Publication Date |
2017-10-27 |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1521-4117 |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
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Times cited |
2 |
Open Access |
OpenAccess |
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Notes |
K.S. and S.B. acknowledge support from the Fund for Scientific ResearchFlanders (FWO) (G019014N and G021814N). S.B. acknowledges financial support from European Research Council (ERC Starting Grant #335078-COLOURATOM). Y.Z. acknowledges financial support from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 665501 through a FWO [PEGASUS]2 Marie Skłodowska-Curie fellowship (12U4917N). The authors would like to thank Prof. Luis Liz-Marzán for provision of the samples. (ROMEO:yellow; preprint:; postprint:restricted ; pdfversion:cannot); saraecas; ECAS_Sara; |
Approved |
Most recent IF: NA |
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Call Number |
EMAT @ emat @c:irua:147857UA @ admin @ c:irua:147857 |
Serial |
4798 |
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Permanent link to this record |