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SUMMARY:Mathematical image enhancement in medicine\, forensics and the art
 s - Carola-Bibiane Schoenlieb (Department of Applied Mathematics and Theor
 etical Physics\, University of Cambridge)
DTSTART:20120223T173000Z
DTEND:20120223T180000Z
UID:TALK36141@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:In the modern society we encounter digital images in many dif
 ferent situations: from everyday life\, where analogue cameras have long b
 een replaced by digital ones\, to their professional use in medicine\,\nea
 rth sciences\, arts\, and security applications. Examples of medical imagi
 ng tools are MRI (Magnetic Resonance Imaging)\, PET (Positron Emission Tom
 ography) and CT (computed tomography) for imaging the brain or other organ
 s such as the heart. These imaging tools usually produce noisy or incomple
 te image data. Hence\, before they can be evaluated by doctors\, they have
  to be processed. Keywords in this context are image denoising\, image deb
 lurring\, image decomposition and image inpainting.\n\nIn this talk I will
  present one of the most successful processing approaches: partial differe
 ntial equations and variational models. Given a noisy image\, its processe
 d (denoised) version is computed as a solution of a PDE or as a minimiser 
 of a functional (variational model). Both of these processes are regularis
 ing the given image. In favourable imaging approaches this is done by elim
 inating high-frequency features (noise) while preserving or even enhancing
  low-frequency features (object boundaries\, edges). After discussing the 
 main principles of this mathematical concept the talk is furnished with co
 mputational examples from medical imaging\, forensics and the arts.\n\nThe
  slides of the talk are online at http://www.damtp.cam.ac.uk/user/cbs31/MI
 _Cambridge/MathAndInfo_Network_files/carolaschoenliebtalk.pdf
LOCATION:MR2\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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