Approximation of the Ribs-Bounded Contour in a Tomography Scan Slice

Mykolas J. Bilinskas (), Gintautas Dzemyda () and Mantas Trakymas
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Mykolas J. Bilinskas: Institute of Mathematics and Informatics, Vilnius University, Akademijos Str. 4, LT-08663 Vilnius, Lithuania
Gintautas Dzemyda: Institute of Mathematics and Informatics, Vilnius University, Akademijos Str. 4, LT-08663 Vilnius, Lithuania
Mantas Trakymas: National Cancer Institute, Santariškiş Str. 1, LT-08660, Vilnius, Lithuania

International Journal of Information Technology & Decision Making (IJITDM), 2018, vol. 17, issue 01, 83-102

Abstract: In this paper, a method for analyzing transversal plane images obtained by computer tomography (CT) scans is presented. A mathematical model that describes the ribs-bounded contour was created and the problem of approximation is solved by finding out the optimal parameters of the model in the least-squares sense. The paper discloses the problems that appear in building the proper model. Such a model would be useful in the registration of images independently on the patient position on the bed and of the radiocontrast agent injection. We consider the slices where ribs are visible because many important internal organs are located here: liver, heart, stomach, pancreas, lungs, etc. The model is flexible and describes the ribs-bounded contour independently on the patient age, sex and disease. The only exception is patients with the bone fracture. This makes the basis for the proper registration of slices.

Keywords: Computer tomography; mathematical modeling; curve fitting; optimization (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0219622017500298

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