graduate

On Vesicles and Amoebae or Modeling Constrained Shape Deformations

TYPEColloquium
Speaker:Professor Freddy Bruckstein
Affiliation:Computer Science, Technion
Date:01.12.2011
Time:16:30
Location:Lidow Rosen Auditorium (323)
Abstract:

 


 


Modeling the deformation of shapes under constraints on both perimeter

and area is a challenging task due to the highly nontrivial interaction

between the need for flexible local rules for manipulating the boundary

and the global constraints. We propose several methods to address this problem


Modeling the deformation of shapes under constraints on both perimeter


and area is a challenging task due to the highly nontrivial interaction 


between the need for flexible local rules for manipulating the boundary 


and the global constraints. We propose several methods to address this problem


 and generate "random walks" in the  space of shapes obeying quite general possibly


 time varying constraints on their perimeter and area. Design of perimeter and area


 preserving deformations are an interesting and useful special case of this problem. 


The resulting deformation models are employed in annealing processes that evolve 


original shapes toward shapes that are optimal in terms of boundary bending-energy 


or other functionals. Furthermore, such models may find applications in the analysis 


of sequences of real images of deforming objects obeying global constraints as building


 blocks for registration and tracking algorithms.