73 citations · 77 across the 5 of their papers we have counts for
6 papers
Implicit Minimal Surfaces for Bijective Correspondences
Etienne Corman, Yousuf Soliman, Robin Magnet +1
We introduce an implicit representation of continuous, bijective, orientation-preserving maps between genus zero surfaces with or without boundary. The distortion of these maps can…
Conformal Surface Splines
Yousuf Soliman, Ulrich Pinkall, Peter Schröder
We introduce a family of boundary conditions and point constraints for conformal immersions that increase the controllability of surfaces defined as minimizers of conformal variati…
Rolling spheres and the Willmore energy
Felix Knöppel, Ulrich Pinkall, Peter Schröder +1
The Willmore energy plays a central role in the conformal geometry of surfaces in the conformal 3-sphere \(S^3\). It also arises as the leading term in variational problems ranging…
The Vector Heat Method
Nicholas Sharp, Yousuf Soliman, Keenan Crane
This paper describes a method for efficiently computing parallel transport of tangent vectors on curved surfaces, or more generally, any vector-valued data on a curved manifold. Mo…
Personalized Medical Treatments Using Novel Reinforcement Learning Algorithms
Yousuf M. Soliman
In both the fields of computer science and medicine there is very strong interest in developing personalized treatment policies for patients who have variable responses to treatmen…
Constrained Willmore Surfaces
Christoph Bohle, G. Paul Peters, Ulrich Pinkall
Constrained Willmore surfaces are conformal immersions of Riemann surfaces that are critical points of the Willmore energy under compactly supported infinitesimal conf…