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SUMMARY:Reverse Engineering a PDE from an Image Inpainting Algorithm - Rob
  Hocking\, CCA
DTSTART:20150610T150000Z
DTEND:20150610T160000Z
UID:TALK59281@talks.cam.ac.uk
CONTACT:Dominic Dold
DESCRIPTION:A common practice in designing image inpainting methods is to 
 model the image as a continuum\, where the completed image may be expresse
 d in terms of the solution to a suitable PDE.  One then discretizes this P
 DE to obtain an algorithm that may be applied to real images\, which are d
 iscrete.  However\, what about working in reverse?  Given a discrete algor
 ithm\, can we find a PDE such that images inpainted via this algorithm con
 verge to solutions to said PDE in the continuum limit?  If so\, can this h
 elp us to understand our method or improve it?\n\nIn this talk\, I will sh
 are my experience working on inpainting algorithms for industry\, where pe
 ople may not have heard of PDEs and methods are designed based primarily o
 n intuition.  I will show how these methods may nonetheless be understood 
 in terms of PDEs\, and furthermore that this understanding can be utilized
  to create improved methods.  Finally\, I will argue that this may give yo
 u a better algorithm in the end than if you simply started from a desired 
 PDE and and discretized it in a routine manner.
LOCATION:MR11\, Centre for Mathematical Sciences
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