The shape space of closed curves is the quotient space of (a submanifold of) the unit sphere, modulo rotation, and reparameterization groups, and we find geodesics in that space using a path ...

This tree space provides a powerful tool for studying and comparing phylogenetic trees, both in exhibiting a natural distance measure and in providing a euclidean-like structure for solving ...

Through telescopes on Earth and in space, astronomers can glimpse the far-flung reaches of the universe. And no matter how far away or how strange the planet, at least one thing seems to hold true ...

Addressing this challenge, we develop a mixed-effects regression for data in geodesic spaces, where the underlying mean response trajectories are geodesics in the metric space and the deviations of ...

Spatial4n is a general purpose spatial / geospatial library for .NET, a direct port of the spatial4j Java library. Its core capabilities are: To provide common shapes that can be used in Euclidean and ...

The scientific community generally agrees on the theory, introduced by Riemann and furthered by Helmholtz and Schrödinger, that perceived color space is not Euclidean but rather, a three-dimensional ...

A New Subject-Specific Discriminative and Multi-Scale Filter Bank Tangent Space Mapping Method for Recognition of Multiclass Motor Imagery ...