113 citations · 638 across the 37 of their papers we have counts for
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nlin.CD2010★ 79 cited
Invariant higher-order variational problems
F. Gay-Balmaz, D. D. Holm, D. M. Meier +2
We investigate higher-order geometric -splines for template matching on Lie groups. This is motivated by the need to apply diffeomorphic template matching to a series of images,…
math.PR2010
Extension to Infinite Dimensions of a Stochastic Second-Order Model associated with the Shape Splines
François-Xavier Vialard
We introduce a second-order stochastic model to explore the variability in growth of biological shapes with applications to medical imaging. Our model is a perturbation with a rand…
math.OC2010
Shape Splines and Stochastic Shape Evolutions: A Second Order Point of View
Alain Trouvé, François-Xavier Vialard
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 tas…