  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.
