Surface Remeshing using Quadric based Mesh Simplification and Minimal Angle Improvement

Surface remeshing intends to yield high quality, high regularity and low complexity meshes that are geometrically faithful to original models and free from the low-quality elements. Unfortunately, attaining balance between quality, regularity, complexity and approximation error becomes tedious during remeshing. In the work presented here, authors propose a surface remeshing techniques based on quadric based simplification and high-quality approximation that tries to attain balance of remeshing goals. Given a triangular mesh and user assigned approximation error, the output mesh (remesh) achieves a higher minimal interior angle and low mesh complexity with implicit feature preservation. The proposed approach recapitulates in two-steps. First, the mesh complexity is optimized to lessen the extent of vertices, and then followed by enhancement of the quality of the elements using local operators. This approach can be efficiently incorporated in preprocessing for numerous applications. Investigations have demonstrated that the proposed approach is efficient and robust. The results of proposed approach attain high quality triangles along with preservation of the features of the original geometry.