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Efficient Approach for Reconstruction of Convex Binary Images Branch and Bound Method

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 259))

Abstract

In this paper reconstruction algorithm of convex binary image in discrete tomography made efficient by implementing branch and bound method. We focus on diagonal and anti-diagonal (dad) projections and comparison done with the conventional horizontal and vertical (hv) projections. It was shown that proposed strategy is computationally strong and gives fast reconstruction.

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References

  1. Chrobak, M., Durr, C.: Reconstructing hv-convex polyominoes from orthogonal projection. Inf. Process. Lett. 69(6) (1999)

    Google Scholar 

  2. Del Lungo, A.: Reconstructing permutation matrices from diagonal sums. Theor. Comput. Sci. 281(1–2), pp. 235–249 (2002)

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  3. Kuba, A.: Reconstruction of two directionally connected binary patterns from their orthogonal projections. Comput. Vis. Graph. Image Process. 27, 249–265 (1984)

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  4. Miklós, P., Csongor, G.: Discrete tomographic reconstruction of binary matrices using branch and bound method. In: 7th International Symposium on Intelligent Systems and Informatics (SISY 2009), Subotica, Serbia, 25–26 Sept 2009

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  5. Srivastava, T., Verma, S.K., Patel, D.: Reconstruction of binary images from two orthogonal projections. IJTS 21(2), 105–114 (2012)

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  6. Srivastava, T., Verma, S.K.: Uniqueness algorithm with diagonal and anti-diagonal projections. IJTS 23(2), 22–31 (2013)

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Acknowledgments

This research was supported by the MHRD (Ministry of Human Resource Development) INDIA under the QIP (Quality Improvement Program) sponsored by AICTE (All Indian Council for Technical Education) and Subhash Institute of Software Technology Kanpur.

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Correspondence to Shiv Kumar Verma .

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© 2014 Springer India

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Verma, S.K., Shrivastava, T., Patel, D. (2014). Efficient Approach for Reconstruction of Convex Binary Images Branch and Bound Method. In: Pant, M., Deep, K., Nagar, A., Bansal, J. (eds) Proceedings of the Third International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 259. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1768-8_17

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  • DOI: https://doi.org/10.1007/978-81-322-1768-8_17

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-1767-1

  • Online ISBN: 978-81-322-1768-8

  • eBook Packages: EngineeringEngineering (R0)

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