Curvature-adapted remeshing of CAD surfaces

A common representation of surfaces with complicated topology and geometry is through composite parametric surfaces. This is the case for most CAD modelers. The majority of these models focus on having a good approximation of the surface itself, but they are usually built without taking into account a subsequent mesh generation. Indeed they are often characterized by too many patches which are not logically connected and make a standard mesh generator fail. In this work, we present a novel mesh generation strategy that can handle such "bad" input data and produces an anisotropic curvature-adapted surface mesh. There are two main ingredients to achieve this goal. First of all, we define a new and fast way to project point on an input model which overcomes the presence of non-connected patches. Then we consider the higher embedding strategy to build the final anisotropic surface mesh.