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Authors: Una Radojičić ; Rudolf Scitovski and Kristian Sabo

Affiliation: Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, 31 000 Osijek and Croatia

Keyword(s): Multiple Closed Curve Detection Problem, k-means Algorithm, Globally Optimal Partition, DIRECT.

Abstract: The paper deals with the multiple closed curve detection problem, i.e. the multiple circle and the multiple ellipse detection problem are especially considered. Based on data coming from a number of closed curves not known in advance, it is necessary to recognize these curves. The approach we propose is based on center-based clustering, which means that the problem is reduced to searching for an optimal partition whose cluster-centers are the closed curves we searched for. By using a modified well-known k-means algorithm with carefully chosen initial approximation we shall look for these curves. For detecting the most appropriate number of clusters (closed curves), we have also proposed a new, specialized index that was significantly better than other well-known indexes.

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Paper citation in several formats:
Radojičić, U.; Scitovski, R. and Sabo, K. (2019). A Fast and Efficient Method for Solving the Multiple Closed Curve Detection Problem. In Proceedings of the 8th International Conference on Pattern Recognition Applications and Methods - ICPRAM, ISBN 978-989-758-351-3; ISSN 2184-4313, pages 269-276. DOI: 10.5220/0007238902690276

@conference{icpram19,
author={Una Radojičić. and Rudolf Scitovski. and Kristian Sabo.},
title={A Fast and Efficient Method for Solving the Multiple Closed Curve Detection Problem},
booktitle={Proceedings of the 8th International Conference on Pattern Recognition Applications and Methods - ICPRAM,},
year={2019},
pages={269-276},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007238902690276},
isbn={978-989-758-351-3},
issn={2184-4313},
}

TY - CONF

JO - Proceedings of the 8th International Conference on Pattern Recognition Applications and Methods - ICPRAM,
TI - A Fast and Efficient Method for Solving the Multiple Closed Curve Detection Problem
SN - 978-989-758-351-3
IS - 2184-4313
AU - Radojičić, U.
AU - Scitovski, R.
AU - Sabo, K.
PY - 2019
SP - 269
EP - 276
DO - 10.5220/0007238902690276

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