TY - JOUR A1 - Navayazdani, Esfandiar A1 - Ambellan, Felix A1 - Hanik, Martin A1 - von Tycowicz, Christoph T1 - Sasaki Metric for Spline Models of Manifold-Valued Trajectories JF - Computer Aided Geometric Design N2 - We propose a generic spatiotemporal framework to analyze manifold-valued measurements, which allows for employing an intrinsic and computationally efficient Riemannian hierarchical model. Particularly, utilizing regression, we represent discrete trajectories in a Riemannian manifold by composite Bézier splines, propose a natural metric induced by the Sasaki metric to compare the trajectories, and estimate average trajectories as group-wise trends. We evaluate our framework in comparison to state-of-the-art methods within qualitative and quantitative experiments on hurricane tracks. Notably, our results demonstrate the superiority of spline-based approaches for an intensity classification of the tracks. Y1 - 2023 U6 - https://doi.org/10.1016/j.cagd.2023.102220 VL - 104 SP - 102220 ER - TY - CHAP A1 - Navayazdani, Esfandiar T1 - Elastic Analysis of Augmented Curves and Constrained Surfaces T2 - Proc. of IAPR Third International Conference on Discrete Geometry and Mathematical Morphology Y1 - 2023 U6 - https://doi.org/https://link.springer.com/chapter/10.1007/978-3-031-57793-2_27 SP - 353 EP - 363 PB - Springer ER -