Parametrization quantization with free boundaries for trimmed quad meshing The generation of quad meshes based on surface parametrization techniques has proven to be a versatile approach. These techniques quantize an initial seamless parametrization so as to obtain an integer grid map implying a pure quad mesh. Stateoftheart methods following this approach have to assume that the surface to be meshed either has no boundary, or has a boundary which the resulting mesh is supposed to be aligned to. In a variety of applications this is not desirable and nonboundaryaligned meshes or gridparametrizations are preferred. We thus present a technique to robustly generate integer grid maps which are either boundaryaligned, nonboundaryaligned, or partially boundaryaligned, just as required by different applications. We thereby generalize previous work to this broader setting. This enables the reliable generation of trimmed quad meshes with partial elements along the boundary, preferable in various scenarios, from tiled texturing over design and modeling to fabrication and architecture, due to fewer constraints and hence higher overall mesh quality and other benefits in terms of aesthetics and flexibility.

Directional TSDF: Modeling Surface Orientation for Coherent Meshes Realtime 3D reconstruction from RGBD sensor data plays an important role in many robotic applications, such as object modeling and mapping. The popular method of fusing depth information into a truncated signed distance function (TSDF) and applying the marching cubes algorithm for mesh extraction has severe issues with thin structures: not only does it lead to loss of accuracy, but it can generate completely wrong surfaces. To address this, we propose the directional TSDFxe2x80x94a novel representation that stores opposite surfaces separate from each other. The marching cubes algorithm is modified accordingly to retrieve a coherent mesh representation. We further increase the accuracy by using surface gradientbased ray casting for fusing new measurements. We show that our method outperforms stateoftheart TSDF reconstruction algorithms in mesh accuracy.