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SUMMARY:Curvature on graphs: what's behind the bend? - Yves van Gennip (Un
 iversity of Nottingham)
DTSTART:20131028T150000Z
DTEND:20131028T160000Z
UID:TALK47015@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:In data and image analysis\, the data sets are often modelled 
 as a graph in which the nodes represent the data points and the edges enco
 de some relationship between the nodes\, relevant to the task at hand. In 
 recent years\, people have studied classical continuum PDE models used in 
 image analysis\, formulated on graphs\, to be applicable to data analysis 
 problems.\n\nThese studies show interesting connections between continuum 
 results and the analogous problems on graphs. In this talk we will focus o
 n mean curvature. In the continuum world this concept is of great geometri
 c importance. For example\, it shows up as the first variation of the tota
 l variation functional. We will discuss the concept of curvature on graphs
  and\, starting from our continuum intuition\, discuss its relation to the
  Allen-Cahn equation and threshold dynamics (Merriman-Bence-Osher) scheme 
 on graphs.\n
LOCATION:MR 14\, CMS
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