SPATIAL RANK AND APPROXIMATE SYMMETRIES IN SEQUENTIAL RECONSTRUCTION OF DENSE PACKINGS

Alexander Vinogradov

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Paper

SPATIAL RANK AND APPROXIMATE SYMMETRIES IN SEQUENTIAL RECONSTRUCTION OF DENSE PACKINGS

In Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 3: Mathematical and Linguistic Techniques for Image Mining, 211-214, 2007 , Barcelona, Spain

Author: Alexander Vinogradov

Affiliation: Dorodnitsyn Computing Center of Russian Academy of Sciences, Russian Federation

Keyword(s): Hough transform, spatial shape, Parzen window, symmetry group, sequential trials, ergodicity, k-point configuration, group manifold, spatial isomer.

Abstract: General rotation group manifold is used as a base structure for representation of k-point configuration clusters in Hough-type parametric space. This yields to introduce efficiently spatial ranks inside k-point trial set and arrange in multiple dimensions Parzen-like windows with properties analogous to the linear ones’. As a result, asymptotically optimal dense packings of clusters are automatically produced for arbitrary spatial shapes via independent sequential trials.

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Paper citation in several formats:

Vinogradov, A. (2007). SPATIAL RANK AND APPROXIMATE SYMMETRIES IN SEQUENTIAL RECONSTRUCTION OF DENSE PACKINGS. In Proceedings of the Second International Conference on Computer Vision Theory and Applications (VISAPP 2007) - Mathematical and Linguistic Techniques for Image Mining; ISBN 978-972-8865-75-7; ISSN 2184-4321, SciTePress, pages 211-214. DOI: 10.5220/0002071102110214

@conference{mathematical and linguistic techniques for image mining07,
author={Alexander Vinogradov.},
title={SPATIAL RANK AND APPROXIMATE SYMMETRIES IN SEQUENTIAL RECONSTRUCTION OF DENSE PACKINGS},
booktitle={Proceedings of the Second International Conference on Computer Vision Theory and Applications (VISAPP 2007) - Mathematical and Linguistic Techniques for Image Mining},
year={2007},
pages={211-214},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002071102110214},
isbn={978-972-8865-75-7},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the Second International Conference on Computer Vision Theory and Applications (VISAPP 2007) - Mathematical and Linguistic Techniques for Image Mining
TI - SPATIAL RANK AND APPROXIMATE SYMMETRIES IN SEQUENTIAL RECONSTRUCTION OF DENSE PACKINGS
SN - 978-972-8865-75-7
IS - 2184-4321
AU - Vinogradov, A.
PY - 2007
SP - 211
EP - 214
DO - 10.5220/0002071102110214
PB - SciTePress