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We propose novel finite-dimensional spaces of well-behaved $\mathbb {R}^n\rightarrow \mathbb {R}^n$<alternatives><inline-graphic xlink:href="freifeld-ieq1-2646685.gif"/> </alternatives> 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...
We propose novel finite-dimensional spaces of Rn ? Rn transformations, n ? {1, 2, 3}, derived from (continuously-defined) parametric stationary velocity fields. Particularly, we obtain these transformations, which are diffeomorphisms, by fast and highly-accurate integration of continuous piecewise-affine velocity fields, we also provide an exact solution for n = 1. The simple-yet-highly-expressive...
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