Carmi Grushko, M.Sc. Thesis Seminar
Wednesday, 13.6.2012, 14:30
Our world is known for its abundance of symmetric structures - in the fields of
the animal kingdom, in astronomy, mathematics and chemistry, to name a few.
The existence of symmetry in 3D shapes is of great interest when such applications as
efficient storage, comparison and lookup are considered.
Traditionally, only symmetries which are a composition of rotations and reflections
were considered. These symmetries, termed extrinsic, have limited use in non-rigid
shapes, as they are easily lost when the shape is deformed.
A different approach, treating 3D shapes as metric spaces, allows the definition of
intrinsic symmetries, which offer a way for symmetry detection in deformable, non-rigid shapes.
In this work we present a method to compute intrinsic, continuous symmetries of 3D
shapes, based on a general-purpose isometry-finding algorithm.
We further explore non-Euclidean intrinsic continuous symmetries, and in particular,
we demonstrate an algorithm for the detection of affine-invariant intrinsic continuous