Combining metrics for mesh simplification and parameterization

We present a mesh simplification strategy for generating polygonal meshes with well-shaped faces in the presence of constraints. We introduce a novel combination of metrics to drive the simplification process while generating high-quality meshes. Our method handles the creation of coarse triangle or triangle/quad meshes with tagged features. The metrics favor "ideal" vertex valences (six or four) and element shapes (equilateral triangles or rectangles). We illustrate this method in the context of remeshing and texture-mapping scenarios.