214 citations · 331 across the 6 of their papers we have counts for
6 papers
Geodesics in infinite dimensional Stiefel and Grassmann manifolds
Philipp Harms, Andrea C. G. Mennucci
Let be a separable Hilbert space, possibly infinite dimensional. Let $\St(p,V)$ be the Stiefel manifold of orthonormal frames of vectors in , and let $\Gr(p,V)$ be the G…
Bit recycling for scaling random number generators
Andrea C. G. Mennucci
Many Random Number Generators (RNG) are available nowadays; they are divided in two categories, hardware RNG, that provide "true" random numbers, and algorithmic RNG, that generate…
Banach-like metrics and metrics of compact sets
A. Duci, A. C. Mennucci
We present and study a family of metrics on the space of compact subsets of (that we call ``shapes''). These metrics are ``geometric'', that is, they are independent of rotat…
Sobolev--type metrics in the space of curves
A. C. G. Mennucci, A. Yezzi, G. Sundaramoorthi
We define a manifold where objects are curves, which we parameterize as (, is the circle). Given a curve , we define the tangent space…
Metrics in the space of curves
A. Yezzi, A. Mennucci
In this paper we study geometries on the manifold of curves. We define a manifold where objects are curves, which we parameterize as (, $S^1…
Hamilton-Jacobi Equations and Distance Functions on Riemannian Manifolds
Carlo Mantegazza, Andrea Carlo Mennucci
The paper is concerned with the properties of the distance function from a closed subset of a Riemannian manifold, with particular attention to the set of singularities.