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SUMMARY:Restoring Profanity: Applying Mathematics to Digital Image Restora
 tion - Dr Carola-Bibiane Schoenlieb\, DAMTP
DTSTART:20130509T170000Z
DTEND:20130509T180000Z
UID:TALK45043@talks.cam.ac.uk
CONTACT:Cambridge AWiSE
DESCRIPTION:Inpainting\, or image interpolation\, is a process used to rec
 onstruct missing parts of images. Artists have long used manual inpainting
  to restore damaged paintings. Today\, mathematicians apply partial differ
 ential equations (PDEs) to automate image interpolation. The PDEs operate 
 in much the same way that trained restorers do – they propagate informat
 ion from the structure around a hole into the hole to fill it in.\n\nWhile
  artists can work directly on a painting\, a PDE requires a mathematical r
 epresentation of the subject matter\, such as a digital image. A digital i
 mage is essentially a 2D matrix of integers\, with each integer representi
 ng the color or grayscale value of an individual pixel. Holes in the image
  are represented by unknown values in the matrix. PDE-inpainting fills in 
 these missing values based on the values of nearby pixels.\n\nOne of Carol
 a’s first explorations of the use of PDEs for inpainting focused on the 
 restoration of 14th-century frescoes. She has found that high-order\, nonl
 inear PDEs enable a wide range of other applications for inpainting\, in f
 ields as diverse as medicine\, astronomy\, and cartography.\n\nCarola is a
  lecturer in Applied and Computational Mathematics at the Department of Ap
 plied Mathematics and Theoretical Physics (DAMTP)\, University of Cambridg
 e\, and Fellow of Jesus College\, Cambridge. She is head of the Cambridge 
 Image Analysis group.\n\nA joint event with Lucy Cavendish College.\n\nFre
 e to attend but please register at http://bit.ly/1047bnc
LOCATION:Lucy Cavendish College\, Cambridge
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