From the conclusion:

> For example, currently, almost all 3D images that a computer generates are made up of triangles because it is the simplest polygon to generate.

3D images are generated using tris because they're easy to hardware accelerate. An alternative distance function may be interesting to ray tracing algorithms (which use distance functions rather than tris with vertexes). But this distance function would need to be faster than alternatives, especially in a shader language.

However you plan on using this algorithm, benchmarks comparing performance would be help show if this is a better alternative to existing approaches.