The mean shift algorithm, which is a nonparametric density estimator for detecting the
modes of a distribution on a Euclidean space, was recently extended to operate on analytic
manifolds. The extension is extrinsic in the sense that the inherent optimization is performed
on the tangent spaces of these manifolds. This approach specifically requires the use of the
exponential map at each iteration. This paper presents an alternative mean shift formulation,
which performs the iterative optimization “on” the manifold of interest and intrinsically locates …

Intrinsic mean shift for clustering on stiefel and grassmann manifolds | CiNii Research …
Intrinsic mean shift for clustering on stiefel and grassmann manifolds …