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Binary image reconstruction based on prescribed numerical information

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Abstract

The problem of reconstruction of a binary image in the field of discrete tomography is a classic instance of seeking solution applying mathematical techniques. Here two such binary image reconstruction problems are considered given some numerical information on the image. Algorithms are developed for solving these problems and correctness of the algorithms are discussed.

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Correspondence to K. G. Subramanian.

Additional information

The first author K.G. Subramanian and the fourth author Ibrahim Venkat gratefully acknowledge support for this research respectively from a FRGS grant No. 203/PKOMP/6711267 and an ERGS Grant No. 203/PKOMP/6730075 of the Ministry of Higher Education (MoHE), Malaysia. The second author Pradeep Isawasan would like to thank MoHE for the award of MyPhD under which this research was jointly carried out by him.

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Subramanian, K.G., Isawasan, P., Budiarto, R. et al. Binary image reconstruction based on prescribed numerical information. Acta Math. Appl. Sin. Engl. Ser. 31, 519–528 (2015). https://doi.org/10.1007/s10255-015-0482-4

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  • DOI: https://doi.org/10.1007/s10255-015-0482-4

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