Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Cavanna, Nicholas J."'
In this paper we consider adaptive sampling's local-feature size, used in surface reconstruction and geometric inference, with respect to an arbitrary landmark set rather than the medial axis and relate it to a path-based adaptive metric on Euclidean
Externí odkaz:
http://arxiv.org/abs/1807.08208
In this paper a parameterized generalization of a good cover filtration is introduced called an {\epsilon}-good cover, defined as a cover filtration in which the reduced homology groups of the image of the inclusions between the intersections of the
Externí odkaz:
http://arxiv.org/abs/1807.07920
We explore several problems related to ruled polygons. Given a ruling of a polygon $P$, we consider the Reeb graph of $P$ induced by the ruling. We define the Reeb complexity of $P$, which roughly equates to the minimum number of points necessary to
Externí odkaz:
http://arxiv.org/abs/1707.00826
We present a geometric perspective on sparse filtrations used in topological data analysis. This new perspective leads to much simpler proofs, while also being more general, applying equally to Rips filtrations and Cech filtrations for any convex met
Externí odkaz:
http://arxiv.org/abs/1506.03797
Over the last few years, there have been several approaches to building sparser complexes that still give good approximations to the persistent homology. In this video, we have illustrated a geometric perspective on sparse filtrations that leads to s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73cf4d652af7f38ed68b0dbcee1bd516
Autor:
Cavanna, Nicholas J.1,2 (AUTHOR) nicholas.j.cavanna@gmail.com, Sheehy, Donald R.1,3 (AUTHOR) don.r.sheehy@gmail.com
Publikováno v:
Algorithms. Aug2020, Vol. 13 Issue 8, p200. 1p.
