Spherical Parameterization and Remeshing in Digital Geometry Processing

At the beginning of this paper we give a brief description about the evaluation criteria about the quality of the mesh,then we give a concise introduction about the classical mesh generation technology,subsequently we give a quite thorough statement about the Remeshing method according to their purpose,and at last introduced a new optimizing algorithm by this paper.

Several topics are researched in the thesis, such as subdivision method, mesh simplification and optimization, remeshing, surface reconstruction, reconstruction result analysis,system development and so on.

Finally,a resampling strategy combining Loop subdivision and Laplacian smoothing is introduced to enhance the quality of remeshing results.

The sampling den-sity compensation in the current gridding reconstruction is accomplished through the convolution of non-Cartesian data,which re-quires calculating a large number of distances between each other non-Cartesian positions when the number of data is large such as PROPELLER.

A study on the meshrezoning method of the rigid-plastic FEM;

The grids reordering brought out here is for cell-centered finite-volume scheme and it leads to vectorial calcul.