1 citations · 1 across the 4 of their papers we have counts for
4 papers
Point Vortex Dynamics on Closed Surfaces
Marcel Padilla
The theory of point vortex dynamics has existed since Kirchhoff's proposal in 1891 and is still under development with connections to many fields in mathematics. As a strong simpli…
Zeros of Random Sections on Line Bundles
Marcel Padilla
Sections of line bundles on 2 dimensional surfaces in 3 dimensional space can have many distinct shapes. For practical purposes we prefer smooth sections that are visibly easy to f…
4D Atlas: Statistical Analysis of the Spatiotemporal Variability in Longitudinal 3D Shape Data
Hamid Laga, Marcel Padilla, Ian H. Jermyn +3
We propose a novel framework to learn the spatiotemporal variability in longitudinal 3D shape data sets, which contain observations of objects that evolve and deform over time. Thi…
The Nearest Hermitian Inverse Eigenvalue Problem Solution with Respect to the 2-Norm
Marcel Padilla, Benedikt Kolbe, Aniruddha Chakraborty
Assume that the eigenvalues of a finite hermitian linear operator have been deduced accurately but the linear operator itself could not be determined with precision. Given a set of…