1 citations · 1 across the 5 of their papers we have counts for
6 papers
Ridge Regression on Riemannian Manifolds for Time-Series Prediction
Esfandiar Nava-Yazdani
We propose a natural intrinsic extension of ridge regression from Euclidean spaces to general Riemannian manifolds for time-series prediction. Our approach combines Riemannian leas…
Elastic Analysis of Augmented Curves and Constrained Surfaces
Esfandiar Nava-Yazdani
The square root velocity transformation provides a convenient and numerically efficient approach to functional and shape data analysis of curves. We study fundamental geometric pro…
De Casteljau's Algorithm in Geometric Data Analysis: Theory and Application
Martin Hanik, Esfandiar Nava-Yazdani, Christoph von Tycowicz
For decades, de Casteljau's algorithm has been used as a fundamental building block in curve and surface design and has found a wide range of applications in fields such as scienti…
On Geodesics in the Spaces of Constrained Curves
Esfandiar Nava-Yazdani
In this work, we study the geodesics of the space of certain geometrically and physically motivated subspaces of the space of immersed curves endowed with a first order Sobolev met…
A Hierarchical Geodesic Model for Longitudinal Analysis on Manifolds
Esfandiar Nava-Yazdani, Hans-Christian Hege, Christoph von Tycowicz
In many applications, geodesic hierarchical models are adequate for the study of temporal observations. We employ such a model derived for manifold-valued data to Kendall's shape s…
Geometric mean, splines and de Boor algorithm in geodesic spaces
Esfandiar Nava-Yazdani
We extend the concepts of de Casteljau and de Boor algorithms as well as splines to geodesic spaces and present some applications in geometric modeling. The concept of weighted geo…