3 papers
math.DG2025
Elastic Curves with Variable Bending Stiffness
Oliver Gross, Ulrich Pinkall, Moritz Wahl
We study stationary points of the bending energy of curves subject to constraints on the arc-length and the curve's holonomy while simultaneously all…
math.DG2025
A discrete version of Liouville's theorem on conformal maps
Ulrich Pinkall, Boris Springborn
Liouville's theorem says that in dimension greater than two, all conformal maps are Möbius transformations. We prove an analogous statement about simplicial complexes, where two s…
math.DG2024
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…