Converting Triangulations to Grids

This paper outlines a simple and fast method for conversion of unstructured triangulations to connected grids. The conversion strategy is as follows: we begin by using mesh decimation by edge shrinks to define a triangulated base complex and parametrize the original mesh points on the faces of the base complex. We then convert base complex to a Steiner quadrangulation. Finally, we use the sampling to generate a hierarchy of coarse-to-fine grids. I will discuss previous work, the possible approaches to each step of the conversion, and alignment of grids to object features