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Estimation of affine transformations directly from tomographic projections in two and three dimensions
Electronics/Metrology Laboratory, Swiss Federal Laboratories for Materials Testing and Research (EMPA).
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.ORCID iD: 0000-0001-7395-3302
Electronics/Metrology Laboratory, Swiss Federal Laboratories for Materials Testing and Research (EMPA).
Computer Vision Laboratory, ETH Zurich.
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2013 (English)In: Machine Vision and Applications, ISSN 0932-8092, E-ISSN 1432-1769, Vol. 24, no 2, p. 419-434Article in journal (Refereed) Published
Abstract [en]

This paper presents a new approach to estimate two- and three-dimensional affine transformations from tomographic projections. Instead of estimating the deformation from the reconstructed data, we introduce a method which works directly in the projection domain, using parallel and fan beam projection geometries. We show that any affine deformation can be analytically compensated, and we develop an efficient multiscale estimation framework based on the normalized cross correlation. The accuracy of the approach is verified using simulated and experimental data, and we demonstrate that the new method needs less projection angles and has a much lower computational complexity as compared to approaches based on the standard reconstruction techniques.

Place, publisher, year, edition, pages
2013. Vol. 24, no 2, p. 419-434
National Category
Applied Mechanics
Research subject
Experimental Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-3945DOI: 10.1007/s00138-011-0376-2ISI: 000313496100013Scopus ID: 2-s2.0-84872334033Local ID: 1caad981-4935-434d-a4d2-65037eaa9e4eOAI: oai:DiVA.org:ltu-3945DiVA, id: diva2:976807
Note
Validerad; 2013; 20111028 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Forsberg, Fredrik

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