A conformal flattening maps a curved surface to the plane without distorting angles—such
maps have become a fundamental building block for problems in geometry processing …

We present a new algorithm for conformal mesh parameterization. It is based on a precise
notion of discrete conformal equivalence for triangle meshes which mimics the notion of …

We introduce a novel method for the construction of discrete conformal map**s from
surface meshes of arbitrary topology to the plane. Our approach is based on circle patterns …

Conformal parameterizations over the sphere provide high‐quality maps between genus
zero surfaces, and are essential for applications such as data transfer and comparative …

These lecture notes treat some current aspects of two closely interrelated topics from the
theory of convex polytopes: the shapes of f-vectors, and extremal constructions. The first …

A new algorithm is presented that provides a constructive way to conformally warp a
triangular mesh of genus zero to a destination surface with minimal metric deformation, as …

We discuss several extensions and applications of the theory of discretely conformally
equivalent triangle meshes (two meshes are considered conformally equivalent if …

Given a finite set of complex numbers A we say that a transformation on the complex
numbers, T: C→ C is k-rich on A if| A∩ T (A)|≥ k. In this paper we give a bounds on the …

In my thesis I introduce and explore two new construction methods for partially ordered sets.
Part of the presented results originate in joint work with Anders Björner, Jonas Sjöstrand and …

Volume of geometric objects plays an important role in applied and theoretical mathematics.
This is particularly true in the relatively new branch of discrete geometry, where volume is …