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Digital Circularity and Its Applications

  • Conference paper
Combinatorial Image Analysis (IWCIA 2009)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 5852))

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Abstract

This paper presents a brief survey of some recently discovered properties of digital circles, digital discs, and digital surfaces of revolution, which are related with many theoretical challenges in the digital space and have diverse applications in image processing, pattern recognition, and computer graphics. These digital-geometric properties are helpful in today’s context of digital revolution to eliminate the inherent discrepancies and limitations of real circles in solving various problems on characterization, construction, reconstruction, and segmentation of digital circles/discs. As a very contemporary problem, we have discussed why and how the notion of digital circularity leads to an efficient and algorithm-friendly interpretation for segmentation and parametrization of circular arcs from graphic regions in a digital document. Another problem is generating a digital surface of revolution, which needs detecting and fixing the absentee voxels in the 3D digital space in order to ensure the irreducibility and continuity of the voxel-surface of revolution. The pattern of absentee voxels in such a surface corresponds to that of absentee pixels in a cover of digital disc with concentric digital circles. Experimental results demonstrate the impact and effectiveness of digital circularity on all these state-of-the-art practices.

Plenary talk by Bhargab B. Bhattacharya at IWCIA 2009.

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Author information

Authors and Affiliations

  1. Department of Computer Science and Engineering, Indian Institute of Technology, Kharagpur, 721302, India

    Partha Bhowmick

  2. Advanced Computing and Microelectronics Unit, Indian Statistical Institute, Kolkata, 700108, India

    Sahadev Bera & Bhargab B. Bhattacharya

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  1. Partha Bhowmick
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  2. Sahadev Bera
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  3. Bhargab B. Bhattacharya
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Editors and Affiliations

  1. Department of Automatic Control, Centro de Investigación y de Estudios Avanzados (CINVESTAV- IPN), Av. I.P.N. 2508, Col. San Pedro Zacatenco, 07000 D.F., Mexico

    Petra Wiederhold

  2. Department of Computer Science, State University of New York at Fredonia, NY 14063, Fredonia,, USA

    Reneta P. Barneva

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Bhowmick, P., Bera, S., Bhattacharya, B.B. (2009). Digital Circularity and Its Applications. In: Wiederhold, P., Barneva, R.P. (eds) Combinatorial Image Analysis. IWCIA 2009. Lecture Notes in Computer Science, vol 5852. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10210-3_1

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  • DOI: https://doi.org/10.1007/978-3-642-10210-3_1

  • Publisher Name: Springer, Berlin, Heidelberg

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  • Online ISBN: 978-3-642-10210-3

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