# Shape Splines and Stochastic Shape Evolutions: A Second Order Point of View

@article{Trouve2010ShapeSA, title={Shape Splines and Stochastic Shape Evolutions: A Second Order Point of View}, author={Alain Trouv'e and Franccois-Xavier Vialard}, journal={arXiv: Optimization and Control}, year={2010} }

This article presents a new mathematical framework to perform statistical analysis on time-indexed sequences of 2D or 3D shapes. At the core of this statistical analysis is the task of time interpolation of such data. Current models in use can be compared to linear interpolation for one dimensional data. We develop a spline interpolation method which is directly related to cubic splines on a Riemannian manifold. Our strategy consists of introducing a control variable on the Hamiltonian…

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