NEB in Analysis of Natural Image 8 × 8 and 9 × 9 High-contrast Patches

In this paper we use the nudged elastic band tech-nique from computational chemistry to investigate sampled high-dimensional data from a natural image database. We randomly sample 8 × 8 and 9 × 9 high-contrast patches of natural images and create a density estimator believed as a Morse function. By the Morse function we build one-dimensional cell complexes from the sampled data. Using one-dimensional cell complexes, we identify topological properties of 8 × 8 and 9 × 9 high-contrast natural image patches, we show that there exist two kinds of subsets of high-contrast 8 × 8 and 9 × 9 patches modeled as a circle, by the new method we confirm some results obtained through the method of computational topology.

@article{Xia2016,
  title     = {NEB in Analysis of Natural Image 8 × 8 and 9 × 9 High-contrast Patches},
  journal   = {International Journal of Advanced Computer Science and Applications},
  volume    = {7},
  number    = {5},
  year      = {2016},
  publisher = {The Science and Information Organization},
  author    = {Shengxiang Xia and Wen Wang},
  doi       = {10.14569/IJACSA.2016.070572},
  url       = {https://doi.org/10.14569/IJACSA.2016.070572}
}