Digital surfaces as a basis for building isosurfaces

This work highlights the relation existing between isosurfaces of an image with a given threshold (as classically computed by a marching-cubes algorithm) and digital surfaces of this thresholded image. The first step has been to extend the classical adjacency relation defined between elements of a digital surface. It turns out that the induced surface graphs are 2D combinatorial manifolds without boundary which can easily be mapped into closed and orientable surfaces in R³. Hence, digital surfaces can be processed to compute corresponding isosurfaces; the converse is also true