Summary: CCCG 2009, Vancouver, BC, August 17­19, 2009
Symmetry Restoration by Stretching
Misha Kazhdan
Nina Amenta
Shengyin Gu
David F. Wiley
Bernd Hamann
Abstract
We consider restoring the bilateral symmetry of an ob-
ject which has been deformed by compression. This
problem arises in paleontology, where symmetric bones
are compressed in the process of fossilization. Our input
is a user-selected set P of point-pairs on the deformed
object, which are assumed to be mirror-images in some
undeformed set AP, with some added noise. We care-
fully formulate the problem, and give a closed-form so-
lution.
1 Introduction
Much of what we know about evolution comes from the
study of fossils. From the shapes of the bones of extinct

Source: Amenta, Nina - Department of Computer Science, University of California, Davis
Kazhdan, Michael - Department of Computer Science, Johns Hopkins University

Collections: Biology and Medicine; Computer Technologies and Information Sciences