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Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)Volume 13348 LNCS, 2023, Pages 247-25921st International Workshop on Combinatorial Image Analysis, IWCIA 2022; Messina; Italy; 13 July 2022 through 15 July 2022; Code 289189

Tomography Reconstruction Based on Null Space Search(Conference Paper)

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  • Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia

Abstract

The paper introduces a new tomography reconstruction approach for gray and binary image reconstruction. The proposed method intends to find a solution by searching for the best linear combination of the basis vectors of the null space of the projection matrix. One of the advantages of the proposed approach is that the projection error remains always extremely low, practically equal to zero, during the reconstruction process. The method applies a gradient based optimization algorithm. A short experimental evaluation, including three relevant and well-know algorithms for comparison, is presented. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Author keywords

Energy minimizationGradient based optimizationNull spaceRegularizationTomography reconstruction

Indexed keywords

Engineering controlled terms:Binary imagesPetroleum reservoir evaluationTomographyVector spaces
Engineering uncontrolled termsBasis vectorEnergy minimizationGradient-based optimizationImages reconstructionLinear combinationsNull spaceProjection matrixRegularisationSpace searchTomography reconstruction
Engineering main heading:Image reconstruction

Funding details

Funding sponsor Funding number Acronym
Magyar Tudományos AkadémiaMTA

  • 1

    Acknowledgement. Authors acknowledge the financial support of Department of Fundamental Sciences, Faculty of Technical Sciences, University of Novi Sad, in the frame of the Project “Primena opˇstih disciplina u tehniˇckim i informatiˇckim naukama”. T. Lukićalso acknowledges support received from the Hungarian Academy of Sciences through the DOMUS project.

  • ISSN: 03029743
  • ISBN: 978-303123611-2
  • Source Type: Book Series
  • Original language: English
  • DOI: 10.1007/978-3-031-23612-9_15
  • Document Type: Conference Paper
  • Volume Editors: Barneva R.P.,Brimkov V.E.,Brimkov V.E.,Nordo G.
  • Publisher: Springer Science and Business Media Deutschland GmbH

  Lukić, T.; Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia;
© Copyright 2024 Elsevier B.V., All rights reserved.

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