2006-2009 Jean-Marie Favreau
Mapping a given surface onto a piece of the plane is an usual problem, and conformal mappings with border free approaches are classical as non-distorting methods. However, algorithms of this category are only able to produce a mapping from a surface topo- logically equivalent to a disc. In the general case, a topological cutting is thus required. The approach we are reporting here is a method that does not only take into account the topologi- cal properties by cutting the original surface into a disc, but also the the geometrical properties by globally selecting the local extrema of original arm- like surfaces, we called organic surfaces.