Persistence Lenses: Segmentation, Simplification, Vectorization, Scale Space and Fractal Analysis of Images
Computer Vision and Pattern Recognition
2016-06-22 v3 Computational Geometry
General Topology
Abstract
A persistence lens is a hierarchy of disjoint upper and lower level sets of a continuous luminance image's Reeb graph. The boundary components of a persistence lens's interior components are Jordan curves that serve as a hierarchical segmentation of the image, and may be rendered as vector graphics. A persistence lens determines a varilet basis for the luminance image, in which image simplification is a realized by subspace projection. Image scale space, and image fractal analysis, result from applying a scale measure to each basis function.
Keywords
Cite
@article{arxiv.1604.07361,
title = {Persistence Lenses: Segmentation, Simplification, Vectorization, Scale Space and Fractal Analysis of Images},
author = {Martin Brooks},
journal= {arXiv preprint arXiv:1604.07361},
year = {2016}
}