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The class Surface_mesh_simplification::Edge_collapse_visitor_base<ECM> provides a base class for models of the EdgeCollapseSimplificationVisitor concept. It has one template argument: the type of surface being simplified, which must be a model of the EdgeCollapsableMesh concept.
This base class implements all of the visitor's callbacks. This way, users need only override the callbacks they are interested in. The callbacks are not virtual because this is not a dynamically polymorphic base class and the derived visitor will never be used polymorphically at runtime (is perfectly fine to override and hide a non-virtual method in the context of the static polymorphism used in the simplification algorithm).
#include <CGAL/Surface_mesh_simplification/Edge_collapse_visitor_base.h>