256 citations · 2.3k across the 100 of their papers we have counts for
4 papers · 1 filter
Video Stippling
Thomas Houit, Frank Nielsen
In this paper, we consider rendering color videos using a non-photo-realistic art form technique commonly called stippling. Stippling is the art of rendering images using point set…
Medians and means in Finsler geometry
Marc Arnaudon, Frank Nielsen
We investigate existence and uniqueness of p-means and the median of a probability measure on a Finsler manifold, in relation with the convexity of the support of the measure. We p…
A family of statistical symmetric divergences based on Jensen's inequality
Frank Nielsen
We introduce a novel parametric family of symmetric information-theoretic distances based on Jensen's inequality for a convex functional generator. In particular, this family unifi…
The Burbea-Rao and Bhattacharyya centroids
Frank Nielsen, Sylvain Boltz
We study the centroid with respect to the class of information-theoretic Burbea-Rao divergences that generalize the celebrated Jensen-Shannon divergence by measuring the non-negati…