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Transformations Based on Continuous Piecewise-Affine Velocity Fields
2017
IEEE Transactions on Pattern Analysis and Machine Intelligence
We propose novel finite-dimensional spaces of well-behaved R n ! R n transformations. The latter are obtained by (fast and highly-accurate) integration of continuous piecewise-affine velocity fields. The proposed method is simple yet highly expressive, effortlessly handles optional constraints (e.g., volume preservation and/or boundary conditions), and supports convenient modeling choices such as smoothing priors and coarse-to-fine analysis. Importantly, the proposed approach, partly due to its
doi:10.1109/tpami.2016.2646685
pmid:28092517
pmcid:PMC5889303
fatcat:pi4znbaqebfubf3wdgdezt52by