Highly-Expressive Spaces of Well-Behaved Transformations: Keeping It Simple Conference Paper uri icon

abstract

  • Abstract We propose novel finite-dimensional spaces of RR 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 proposed representation handles optional constraints (eg, volume preservation) easily and supports convenient modeling choices …

publication date

  • January 1, 2015