Shape and Surface Reconstruction, Quantification and Deformation

摘要

Research under this grant focused on the reconstruction and the representation of continuous shapes and objects. The primary data structure are meshes, and we study triangle meshes for surface and tetrahedron meshes for volume data. Beyond these two types, we obtained new results for constructing quadrangular meshes for surfaces. Our approach to these problems was fairly broad, ranging from problem modeling, to algorithm design, to implementing and experimenting, and to application finding and adaptation.