• DOI:10.1007/s11263-007-0056-x
Corpus ID: 207252002

On the Local Behavior of Spaces of Natural Images

@article{Carlsson2007OnTL,
  title={On the Local Behavior of Spaces of Natural Images},
  author={G. Carlsson and T. Ishkhanov and V. D. Silva and A. Zomorodian},
  journal={International Journal of Computer Vision},
  year={2007},
  volume={76},
  pages={1-12}
}

G. Carlsson, T. Ishkhanov, +1 author A. Zomorodian

Published 2007

Mathematics, Computer Science

International Journal of Computer Vision

Abstract In this study we concentrate on qualitative topological analysis of the local behavior of the space of natural images. To this end, we use a space of 3 by 3 high-contrast patches ℳ. We develop a theoretical model for the high-density 2-dimensional submanifold of ℳ showing that it has the topology of the Klein bottle. Using our topological software package PLEX we experimentally verify our theoretical conclusions. We use polynomial representation to give coordinatization to various… CONTINUE READING

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