3 citations · 3 across the 4 of their papers we have counts for
4 papers
A Topological Approach to Scaling in Financial Data
Jean de Carufel, Martin Brooks, Michael Stieber +1
There is a large body of work, built on tools developed in mathematics and physics, demonstrating that financial market prices exhibit self-similarity at different scales. In this…
Retinal Vessel Segmentation Using A New Topological Method
Martin Brooks
A novel topological segmentation of retinal images represents blood vessels as connected regions in the continuous image plane, having shape-related analytic and geometric properti…
Persistence Lenses: Segmentation, Simplification, Vectorization, Scale Space and Fractal Analysis of Images
Martin Brooks
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 comp…
Varilets: Additive Decomposition, Topological Total Variation, and Filtering of Scalar Fields
Martin Brooks
Continuous interpolation of real-valued data is characterized by piecewise monotone functions on a compact metric space. Topological total variation of piecewise monotone function…