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Digital Analytical Geometry: How Do I Define a Digital Analytical Object?

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Combinatorial Image Analysis (IWCIA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9448))

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Abstract

This paper is meant as a short survey on analytically defined digital geometric objects. We will start by giving some elements on digitizations and their relations to continuous geometry. We will then explain how, from simple assumptions about properties a digital object should have, one can build mathematically sound digital objects. We will end with open problems and challenges for the future.

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Authors and Affiliations

  1. Laboratoire XLIM, SIC, UMR CNRS 7252, Université de Poitiers, BP 30179, 86962, Futuroscope Chasseneuil, France

    Eric Andres

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  1. Eric Andres
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Correspondence to Eric Andres .

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Editors and Affiliations

  1. SUNY Fredonia, Fredonia, New York, USA

    Reneta P. Barneva

  2. Advanced Computing and Microelectronics, Indian Statistical Institute, Kolkata, Germany

    Bhargab B. Bhattacharya

  3. SUNY Buffalo State, Buffalo, New York, USA

    Valentin E. Brimkov

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Andres, E. (2015). Digital Analytical Geometry: How Do I Define a Digital Analytical Object?. In: Barneva, R., Bhattacharya, B., Brimkov, V. (eds) Combinatorial Image Analysis. IWCIA 2015. Lecture Notes in Computer Science(), vol 9448. Springer, Cham. https://doi.org/10.1007/978-3-319-26145-4_1

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  • DOI: https://doi.org/10.1007/978-3-319-26145-4_1

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  • Online ISBN: 978-3-319-26145-4

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