Meshing skin surfaces with certified topology

Skin surfaces are used for the modeling and visualization of molecules. They form a class of tangent continuous surfaces defined in terms of a set of balls (the atoms of the molecule) and a shrink factor More recently, skin surfaces have been used to approximate arbitrary surfaces. We present an algorithm that approximates a skin surface with a topologically correct mesh. The complexity of the mesh is linear in the size of the Delaunay triangulation of the balls, which is worst case optimal. We also adapt two existing refinement algorithms to improve the quality of the mesh and show that the same algorithm can be used for meshing a union of balls

Meshing skin surfaces with certified topology

Skin surfaces are used for the visualization of molecules. They form a class of tangent continuous surfaces defined in terms of a set of balls (the atoms of the molecule) and a shrink factor. More recently, skin surfaces have been used for approximation purposes. We present an algorithm that approximates a skin surface with a topologically correct mesh. The complexity of the mesh is linear in the size of the Delaunay triangulation of the balls, which is worst case optimal. We also adapt two existing refinement algorithms to improve the quality of the mesh and show that the same algorithm can be used for meshing a union of balls.

Meshing Skin Surfaces with Certified Topology

Skin surfaces are used for the modeling and visualization of molecules. They form a class of tangent continuous surfaces defined in terms of a set of balls (the atoms of the molecule) and a shrink factor. More recently, skin surfaces have been used to approximate arbitrary surfaces. We present an algorithm that approximates a skin surface with a topologically correct mesh. The complexity of the mesh is linear in the size of the Delaunay triangulation of the balls, which is worst case optimal. We also adapt two existing refinement algorithms to improve the quality of the mesh and show that the same algorithm can be used for meshing a union of balls.

Real-time software correlation

In this chapter we present the progress of the SCARIe project, where we investigate the capabilities of a next generation grid-based software correlator for VLBI. We will mostly focus on the current design of our software correlator and on the challenges of running real-time scientific experiments on top of grids infrastructure. This chapter also contains experimental results on software correlation as well our current experiments on the DAS-3 grid and StarPlane, its user-controllable dynamic photonic network