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Principal Geodesic Analysis in the Space of Discrete Shells
(The Eurographics Association and John Wiley & Sons Ltd., 2018)
Important sources of shape variability, such as articulated motion of body models or soft tissue dynamics, are highly nonlinear and are usually superposed on top of rigid body motion which must be factored out. We propose ...
An Explicit Structure-preserving Numerical Scheme for EPDiff
(The Eurographics Association and John Wiley & Sons Ltd., 2018)
We present a new structure-preserving numerical scheme for solving the Euler-Poincaré Differential (EPDiff) equation on arbitrary triangle meshes. Unlike existing techniques, our method solves the difficult non-linear ...