97 citations · 390 across the 25 of their papers we have counts for
27 papers
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…
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 allo…
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…
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 si…
Finding Conformal and Isometric Immersions of Surfaces
Albert Chern, Felix Knöppel, Franz Pedit +2
We introduce a family of variational functionals for spinor fields on a compact Riemann surface that can be used to find close-to-conformal immersions of into $\mathbb{R}^3…
Commuting Hamiltonian flows of curves in real space forms
Albert Chern, Felix Knöppel, Franz Pedit +1
Starting from the vortex filament flow introduced in 1906 by Da Rios, there is a hierarchy of commuting geometric flows on space curves. The traditional approach relates those flow…