Our world is filled with nonrigid objects that can deform and
bend. Nonrigid shapes appear at all scales - from our body, its
organs and tissues, to tiny bacteria and microscopic protein
molecules. When trying to analyze nonrigid shapes the richness of
the possible deformations poses a challenge due to the large
number of degrees of freedom. Thus, generally speaking, explicit
analysis of nonrigid objects has so far been avoided. Today, there
is a comprehension that in many applications the necessity to
model and understand nonrigid objects is unavoidable. At the same
time, recent research results demonstrate that there are feasible
solutions to problems dealing with nonrigid shapes.
In this talk we give an introduction to analysis methods for
nonrigid objects. We show how to adopt measures from metric
geometry, and apply them to practical shape analysis problems,
specifically in biometry, and to some geometry processing problems
in computer graphics.