69 citations · 128 across the 12 of their papers we have counts for
6 papers · 1 filter
Planar Symmetry Detection and Quantification using the Extended Persistent Homology Transform
Nicholas Bermingham, Vanessa Robins, Katharine Turner
Symmetry is ubiquitous throughout nature and can often give great insights into the formation, structure and stability of objects studied by mathematicians, physicists, chemists an…
Computation of degree-1 persistent homology on larger point-clouds using the Reduced Vietoris-Rips filtration
Musashi Ayrton Koyama, Facundo Mémoli, Vanessa Robins +1
Computing Persistent Homology for large point clouds remains a bottleneck for the wider adoption of persistent homology by the scientific community. We present an algorithm which c…
The Extended Persistent Homology Transform of manifolds with boundary
Katharine Turner, Vanessa Robins, James Morgan
The Extended Persistent Homology Transform (XPHT) is a topological transform which takes as input a shape embedded in Euclidean space, and to each unit vector assigns the extended…
Quantifying the homology of periodic cell complexes
Adam Onus, Vanessa Robins
A periodic cell complex, , has a finite representation as the quotient space, , consisting of equivalence classes of cells identified under the translation group acting on…
The Persistent Homology of Dual Digital Image Constructions
Bea Bleile, Adélie Garin, Teresa Heiss +2
To compute the persistent homology of a grayscale digital image one needs to build a simplicial or cubical complex from it. For cubical complexes, the two commonly used constructio…
Duality in Persistent Homology of Images
Adélie Garin, Teresa Heiss, Kelly Maggs +2
We derive the relationship between the persistent homology barcodes of two dual filtered CW complexes. Applied to greyscale digital images, we obtain an algorithm to convert barcod…