This paper discusses a theoretical issue of our developed software MeshToSS for the conversion to Loop subdivision surfaces from dense triangular meshes. This software generates subdivision surfaces that approximate their original mesh. The output is either a control mesh or its subdivided mesh applied with the Loop's subdivision scheme. Our simple approach for the conversion is based on a well-known mesh simplification technique that applies a sequence of edge collapse operations. We show that this enables fast and flexible conversions to subdivision surfaces.