BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Applied and Computational Analysis
SUMMARY:Discrete Varifolds\, Point Clouds\, and Surface Ap
proximation - Simon Masnou (Université de Lyon)
DTSTART;TZID=Europe/London:20151126T150000
DTEND;TZID=Europe/London:20151126T160000
UID:TALK58050AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/58050
DESCRIPTION:There are many models for the discrete approximati
ons of a surface: point clouds\, triangulated surf
aces\, pixel or voxel approximations\, etc. We cla
im that it is possible to study these various appr
oximations in a common setting using the notion of
varifolds. Varifolds are tools from geometric mea
sure theory which were introduced by Almgren in th
e context of Plateau's problem. They carry both sp
atial and tangential informations\, and they have
nice properties in a variational context : compact
ness\, continuity of mass\, multiplicity informati
on\, control of regularity\, and a generalized not
ion of mean curvature. The aforementioned approxim
ations can be associated with "discrete varifolds"
. The talk will be devoted to approximation proper
ties of such discrete varifolds\, to a notion of a
pproximated mean curvature for these objects\, and
to the convergence properties of this approximate
d curvature. Numerical evaluations on various 2D a
nd 3D point clouds will illustrate these notions.
\nThis is joint work with Blanche Buet and Gian Pa
olo Leonardi.
LOCATION:MR 14\, CMS
CONTACT:Carola-Bibiane Schoenlieb
END:VEVENT
END:VCALENDAR