In this article we describe a mesh generation toolchain for molecular modeling. We take as inputs the centers and radii of all atoms of a molecule and the toolchain outputs both surface (triangular) and volumetric (tetrahedral) meshes. Experiments on a number of molecules are demonstrated, showing that our toolchain possesses a number of desirable properties: feature-preservation, local adaptiv...

We isolate various sufficient conditions for a Banach space X to have the so-called Blum-Hanson property. In particular, we show that X has the Blum-Hanson property if either the modulus of asymptotic smoothness of X has an extremal behaviour at infinity, or if X is uniformly Gâteaux smooth and embeds isometrically into a Banach space with a 1-unconditional finite-dimensional decomposition.

1. Briefly summarize the paper’s contributions. Does it address a new problem? Does it present a new approach? Does it show new types of results?  [AS] This paper presents a new approach to estimating unoriented normals from an unoriented set of input points, and using this tensor field to find an implicit function representing the surface defined by the input point set.  [DS] The paper prese...

Surface reconstruction addresses the problem of creating a surface model from a point set digitized from a physical object. After performing the surface fitting on the bases of individual patches (adjacent surfaces), it is necessary to improve the obtained results by connecting the adjacent surfaces according to the desired smoothness. This paper presents a fast method for collecting the adjace...