Around 2005 it became apparent in the geometry processing community that freeform
architecture contains many problems of a geometric nature to be solved, and many …

We solve the form-finding problem for polyhedral meshes in a way which combines form,
function and fabrication; taking care of user-specified constraints like boundary interpolation …

Addressing both architects and engineers, this dissertation presents a new framework for the
form finding and design of fabrication geometry of discrete, funicular structures in the early …

In this paper, we tackle the problem of tiling a domain with a set of deformable templates. A
valid solution to this problem completely covers the domain with templates such that the …

Connectivity and layout of underlying networks largely determine agent behavior and usage
in many environments. For example, transportation networks determine the flow of traffic in a …

Starting from the triangle mesh of a digital shape, that is, mainly an articulated object, we
produce a coarse quad layout that can be used in character modeling and animation. Our …

The efficient and practical representation and processing of geometrically or topologically
complex shapes often demands a partitioning into simpler patches. Possibilities range from …

As a remarkable difference to the existing CAD technology, where shapes are represented
by their boundaries, FEM-based isogeometric analysis typically needs a parameterization of …

We study the design and optimization of statically sound and materially efficient space
structures constructed by connected beams. We propose a systematic computational …

High-quality mesh generation is the foundation of accurate finite element analysis. Due to
the vast interior vertices search space and complex initial boundaries, mesh generation for …