A recursive subdivision scheme for isosurface construction

In the paper, we propose a new method for isosurface construction. We apply a recursive subdivision scheme widely known in fractal terrain synthesis to create a hierarchical mesh over a set of volumetric points. The algorithm starts from an explicit polygonal mesh representing a cube. The main applies a wrapping-like projection in recursive manner with sampling volumetric space along a vector normal in both directions. The algorithm allows for geometry compression and isosurface reconstruction, and follows the idea of the level of detail (LoD). The method is illustrated by example of volumetric escape-time fractals.