基于Hausdorff势的分形模式的自主聚类

SICE '99. Proceedings of the 38th SICE Annual Conference. International Session Papers (IEEE Cat. No.99TH8456) Pub Date : 1999-07-28 DOI:10.1109/SICE.1999.788701

K. Kamejima

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引用次数: 3

摘要

在图像平面上引入了与收缩映射相关的分形吸引子自治聚类的不确定性动力学。通过用Hausdorff距离重新表述二维牛顿势，评估了收缩映射的不动点属性和不动点估计的一致性。在不动点估计的吸引下，对特征点进行聚合，依次组织结构与映射集一致的离散聚类。并通过仿真研究验证了该方案的可行性。

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Autonomous clustering of fractal patterns via Hausdorff potentials

A nondeterministic kinetics is introduced in image plane for autonomous clustering of fractal attractors associated with contraction mappings. By reformulating 2D Newton potential in terms of the Hausdorff distance, both the attribution to fixed points of contraction mappings and the consistency of fixed point estimates are evaluated. Attracted by fixed point estimates, feature points are aggregated to successively organize discrete clusters structurally consistent with the mapping set. The proposed scheme was implemented and verified through simulation studies.

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来源期刊

SICE '99. Proceedings of the 38th SICE Annual Conference. International Session Papers (IEEE Cat. No.99TH8456)

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