Selectively Refinable Subdivision Meshes

Abstract

We introduce RGB triangulations, an extension of red-green triangulations that can support selective refinement over subdivision meshes generated through quadrisection of triangles. Our purpose is to define a mechanism based on local operators that act on subdivision meshes while supporting operations similar to those available in Continuous Level Of Detail models. Our mechanism permits to take an adaptive mesh at intermediate level of subdivision and process it through both refinement and coarsening operations, by remaining consistent with an underlying Loop subdivision scheme. Our method does not require any hierarchical data structure, being based just on color codes and level numbers assigned to elements of a mesh, which can be encoded in a standard topological data structure with a small overhead.