Stable Length Estimates of Tube-like Shapes

February 13, 2013

Mathematical objects can be measured unambiguously, but not
so objects from our physical world. Even the total length
of tube-like shapes has its difficulties. We introduce
a combination of geometric, probabilistic, and topological
methods to design a stable length estimate for tube-like shapes;
that is: one that is insensitive to small shape changes.

*Joint work with Florian Pausinger.*