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Reconstruction of domains from slices using phase-field approximation.


How can we reconstruct a domain when we know it only on a finite number of
slices? In the plane, given a family of segments, we search the "best" set
inclosing these segments. In the usual space, the question is the same
with a family of planar sections. First, by "the best set" we mean one
which minimises one of the following geometrical energies: its perimeter
or the Willmore energy of its boundary. We will see that the theorical
problem is not well posed but a numerical phase-field approximation seems
to give an answer... an unexpected solution. For the perimeter, this
solution does not "really" fit the slices. I will explain why we have this
solution and how we can slighty modify the phase field scheme to have what
we expect. I will give all (intuitive) definitions of concepts I use in
this talk, especially the phase-field model, and we will apply this
reconstruction to movie interpolation...
http://cvgmt.sns.it/seminar/482/
When
Wed Oct 28, 2015 2:30pm – 3:30pm Coordinated Universal Time
Where
Aula Seminari, Dipartimento di Matematica di Pisa (map)