Speaker: Dr. Michael M. Bronstein
, Department of Computer Science, Technicon
Tuesday, April 27th, 11:00am, in BC 329
Symmetry and Regularity Analysis in Non-Rigid Shapes
Symmetry, self-similarity, and regularity are the cornerstone of Nature, exhibiting themselves through the shapes of natural creations and ubiquitous laws of physics. These properties also frequently accompany man-made objects, being closely related to form, function, aesthetics, and manufacturing ease of geometrically complex but procedurally simple shapes. While humans are extremely skilled in perceiving and identifying symmetry and structure repetitions even at a cursory glance, algorithmically detecting such regularity is very challenging. Traditionally, symmetry and regular structure are described as extrinsic geometric properties of the shape. Being adequate for rigid shapes, such a description is inappropriate for non-rigid ones. Extrinsic regularity can be broken as a result of shape deformations, while its intrinsic regularity is preserved. In this talk, I will generalize the standard notions of symmetry and regularity to non-rigid shapes, and will present a numerical framework for their analysis.
(Based on joint works with Alexander Bronstein, Ron Kimmel, Dan Raviv and Niloy Mitra)