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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…
math.DG2023
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…