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Shape-based image reconstruction using linearized deformations
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.). Chinese Academy of Sciences, China.
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2017 (English)In: Inverse Problems, ISSN 0266-5611, E-ISSN 1361-6420, Vol. 33, no 3, article id 035004Article in journal (Refereed) Published
Abstract [en]

We introduce a reconstruction framework that can account for shape related prior information in imaging-related inverse problems. It is a variational scheme that uses a shape functional, whose definition is based on deformable template machinery from computational anatomy. We prove existence and, as a proof of concept, we apply the proposed shape-based reconstruction to 2D tomography with very sparse and/or highly noisy measurements.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2017. Vol. 33, no 3, article id 035004
Keywords [en]
computational anatomy, image reconstruction, indirect image matching, inverse problems, shape analysis, tomography
National Category
Computer Vision and Robotics (Autonomous Systems)
Identifiers
URN: urn:nbn:se:kth:diva-208434DOI: 10.1088/1361-6420/aa55afISI: 000395678900004Scopus ID: 2-s2.0-85014643693OAI: oai:DiVA.org:kth-208434DiVA, id: diva2:1107163
Funder
Swedish Foundation for Strategic Research , AM13-0049
Note

QC 20170609

Available from: 2017-06-09 Created: 2017-06-09 Last updated: 2018-01-13Bibliographically approved

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