Michael Erdmann
In June 2003, a sizeable group of Topologists and Roboticists gathered at ETH in Zurich, Switzerland for a collaborative workshop. The goal of the workshop was to explore robotic motions using newly discovered topological perspectives and to build the foundations of a longterm research agenda. A brief writeup appeared in Science. Here are some pictures I took of the attendees.
In July 2006, a similar group of Topologists and Roboticists again gathered at ETH in Zurich. I did not take any pictures this time, but here is a list of the talks.
Since August 2006, my research has been part of a multiyear multiinstitutional effort involving topologists and roboticists working on a variety of problems at the interface of algebraic topology and autonomous systems. This research effort, called SToMP (Sensor Topology and Minimal Planning), is led by Robert Ghrist.
Two papers related to this work:
Line Weavings for the
Astral 40 set of representative proteins Structural Comparisons for a basis set of proteins 
Proteins, Knots, and Line Weavings
Algorithms for comparing protein structures using geometric convolution and line weavings.
An early
version (without line weavings) of this report appeared at RECOMB 2004.
A
revised version (with line weavings and similarity trials)
appeared in the
Journal of Computational Biology.
(Clarification/Erratum: In Section 6.2.3 of the paper we defined the
"L2 measure" using a sum of integrals, each measuring a squared error
between two lines. Our code inadvertently computed the sum of
the square roots of these integrals. Thus the dimensions of the "L2"
values reported are actually squarerootAngstroms not Angstroms.)
Algorithmic Foundations of Robotics VI Michael Erdmann, David Hsu, Mark Overmars, Frank van der Stappen 











