This paper is conceived as a tutorial on rotation averaging, summarizing the research that
has been carried out in this area; it discusses methods for single-view and multiple-view …

A thoroughly revised and updated edition of this introduction to modern statistical methods
for shape analysis Shape analysis is an important tool in the many disciplines where objects …

In this paper we introduce metric-based means for the space of positive-definite matrices.
The mean associated with the Euclidean metric of the ambient space is the usual arithmetic …

In this paper we give precise definitions of different, properly invariant notions of mean or
average rotation. Each mean is associated with a metric in SO (3). The metric induced from …

Let $ M $ be a complete Riemannian manifold and $\nu $ a probability measure on $ M $.
Assume $1\leq p\leq\infty $. We derive a new bound (in terms of $ p $, the injectivity radius of …

Let $(M, g_0) $ be a compact Riemannian manifold with pointwise $1/4$-pinched sectional
curvatures. We show that the Ricci flow deforms $ g_0 $ to a constant curvature metric. The …

Volume Comparison and Its Applications in Riemann–Finsler Geometry Page 1 Advances in
Mathematics AI1630 advances in mathematics 128, 306 328 (1997) Volume Comparison and …

We consider the problem of rotation averaging under the L 1 norm. This problem is related to
the classic Fermat-Weber problem for finding the geometric median of a set of points in IR n …

Harmonic maps are solutions to a natural geometrical variational prob lem. This notion grew
out of essential notions in differential geometry, such as geodesics, minimal surfaces and …

This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the
required aspects of differential geometry, progressing through existence and regularity …