Masilamani, V.; Dersanambika, K. S.; Krithivasan, K. Binary 3D-matrices under the microscope: a tomographical problem. (English) Zbl 1179.15029 Herman, Gabor T. (ed.) et al., Proceedings of the workshop on discrete tomography and its applictions, New York, NY, USA, June 13–15, 2005. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 20, 573-586 (2005). Summary: A binary 3D-matrix can be scanned by moving a fixed 3D-window across it. We define scan matrix based on this and define smooth matrix. We present algorithm to reconstruct the original matrix from its 3D-scan matrix in the case of smooth matrix.For the entire collection see [Zbl 1109.65003]. MSC: 15B36 Matrices of integers 65R30 Numerical methods for ill-posed problems for integral equations 92C55 Biomedical imaging and signal processing Keywords:3D-scan matrix; smooth matrix; reconstruction algorithm PDFBibTeX XMLCite \textit{V. Masilamani} et al., Electron. Notes Discrete Math. 20, 573--586 (2005; Zbl 1179.15029) Full Text: DOI References: [1] Frosini, A., and M. Nivat, Binary matrices under the microscope: A tomographical problem3322; Frosini, A., and M. Nivat, Binary matrices under the microscope: A tomographical problem3322 · Zbl 1113.68577 [2] Herman, G. T.; Kuba, A., Discrete tomography: Foundations algorithms and applications (1999), Birkhäuser: Birkhäuser Boston · Zbl 0946.00014 [3] Nivat. M., On Tomographic Equivalance Between (0,1)-Matrices3113; Nivat. M., On Tomographic Equivalance Between (0,1)-Matrices3113 · Zbl 1055.68142 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.