  This work reports a new methodology aimed at describing characteristics of
protein structural shapes, and suggests a framework in which to resolve or
classify automatically such structures into known families. This new approach
to protein structure characterization is based on elements of integral geometry
using biologically relevant measurements of shape and considering them on a
multi-scale representation which align the proposed methodology to the recently
reported "tube picture" of a protein structure as a minimal representation
model. The method has been applied with good results to a subset of protein
structures known to be especially challenging to revert into families,
confirming the potential of the proposed method for accurate structure
classification.
