19 citations · 27 across the 6 of their papers we have counts for
6 papers
Generalized Morse Theory of Distance Functions to Surfaces for Persistent Homology
Anna Song, Ka Man Yim, Anthea Monod
This paper brings together three distinct theories with the goal of quantifying shape textures with complex morphologies. Distance fields are central objects in shape representatio…
Fast Topological Signal Identification and Persistent Cohomological Cycle Matching
Inés García-Redondo, Anthea Monod, Anna Song
Within the context of topological data analysis, the problems of identifying topological significance and matching signals across datasets are important and useful inferential task…
Spatial and color hallucinations in a mathematical model of primary visual cortex
Olivier D. Faugeras, Anna Song, Romain Veltz
We study a simplified model of the representation of colors in the primate primary cortical visual area V1. The model is described by an initial value problem related to a Hammerst…
Generation of tubular and membranous shape textures with curvature functionals
Anna Song
Tubular and membranous shapes display a wide range of morphologies that are difficult to analyze within a common framework. By generalizing the classical Helfrich energy of biomemb…
Dictionary Learning for Two-Dimensional Kendall Shapes
Anna Song, Virginie Uhlmann, Julien Fageot +1
We propose a novel sparse dictionary learning method for planar shapes in the sense of Kendall, namely configurations of landmarks in the plane considered up to similitudes. Our sh…
A neural field model for color perception unifying assimilation and contrast
Anna Song, Olivier Faugeras, Romain Veltz
We address the question of color-space interactions in the brain, by proposing a neural field model of color perception with spatial context for the visual area V1 of the cortex. O…