Cell membranes are vital to shield a cell's interior from the environment. At the same time
they determine to a large extent the cell's mechanical resistance to external forces. In recent …

Implicit representations can provide simple descriptions of relatively complex shapes and
can in many cases be a good choice when designing stable shape processing algorithms …

An emerging field of discrete differential geometry aims at the development of discrete
equivalents of notions and methods of classical differential geometry. The latter appears as …

In architectural freeform design, the relation between shape and fabrication poses new
challenges and requires more sophistication from the underlying geometry. The new …

We present an explicit method to compute a generalization of the Fourier Transform on a
mesh. It is well known that the eigenfunctions of the Laplace Beltrami operator (Manifold …

Discrete Laplace operators are ubiquitous in applications spanning geometric modeling to
simulation. For robustness and efficiency, many applications require discrete operators that …

We present a benchmark for the evaluation and comparison of algorithms which reconstruct
a surface from point cloud data. Although a substantial amount of effort has been dedicated …

ABSTRACT Three-dimensional (3D) point clouds (PCs) and meshes have increasingly
become available and indispensable for diversified applications in work and life. In addition …

In recent years a considerable amount of work in graphics and geometric optimization used
tools based on the Laplace-Beltrami operator on a surface. The applications of the …

Spectral methods for mesh processing and analysis rely on the eigenvalues, eigenvectors,
or eigenspace projections derived from appropriately defined mesh operators to carry out …