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VERSION:2.0
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SUMMARY:IC Colloquium - Compressed Sensing meets Imaging Science
DTSTART:20131118T161500
DTEND:20131118T173000
DTSTAMP:20260407T195449Z
UID:3e35b4efed24739504240aeb4f16f1d255ef58988cf28516fc9143f2
CATEGORIES:Conferences - Seminars
DESCRIPTION:Gitta Kutyniok - TU Berlin\nAbstract:\nIn imaging science\, a 
 customarily employed model is the cartoon model\, which assumes that image
 s are governed by edges\, i.e.\, by anisotropic features. Shearlet theory 
 might by now be considered the most versatile and successful methodology t
 o efficiently represent such features\, in particular\, because it allows 
 a unified treatment of the continuum and digital realm. One common problem
  is the extraction of such features from a mixture of anisotropic and isot
 ropic phenomena\, for example\, the superposition of spines (pointlike obj
 ects) and dendrites (curvelike objects) of a neuron. A seemingly unrelated
  problem is inpainting\, i.e.\, the recovery of missing parts of the image
 . These problems however share the similarity that both are ill-posed inve
 rse problems.\nCompressed sensing is a novel research area introduced in 2
 006\, which surprisingly predicts that high-dimensional signals\, which al
 low a sparse representation by a suitable basis or\, more generally\, a fr
 ame\, can be recovered by efficient algorithms from what was previously co
 nsidered highly incomplete linear measurements.\nUtilizing the methodology
  of Compressed Sensing in combination with shearlet theory\, we will show 
 that both the geometric separation problem as well as the inpainting probl
 em can be highly accurately solved numerically\, but even theoretically. A
 symptotically perfect separation and inpainting can indeed be proved as we
  will also discuss.\nThis is in collaboration with David Donoho\, Emily Ki
 ng\, Wang-Q Lim\, and Xiaosheng Zhuang.Biography:\nGitta Kutyniok complete
 d her Diploma in Mathematics and Computer Science in 1996 at the Universit
 ät Paderborn in Germany. She received her Ph.D. degree in the area of tim
 e-frequency analysis from the same university in 2000. She completed her H
 abilitation in Mathematics in 2006 and received her venia legendi. In 2007
 \, she was\nawarded a Heisenberg Fellowship by the DFG-German Research Fou
 ndation.\nFrom 2001 to 2008 she held visiting appointments at several US i
 nstitutions\, including Princeton University\, Stanford University\, Yale 
 University\, Georgia Institute of Technology\, and Washington University i
 n St. Louis.\nAfter returning to Germany in October 2008\, she became a fu
 ll professor of mathematics at the Universität Osnabrück\, and headed th
 e Applied Analysis Group. Since October 2011\, she has an Einstein Chair a
 t the Technical University of Berlin and is head of the Applied Functional
  Analysis Group (AFG).\nHer research and teaching have been recognized by 
 various awards\, including the von Kaven Prize by the German Research Foun
 dation\, awards by the Universität Paderborn and the Justus-Liebig Univer
 sität Giessen for Excellence in Research\, as well as the Weierstrass Pri
 ze for Outstanding Teaching. She also delivered the\nNoether-Lecture at th
 is year's annual meeting of the Mathematical Societies from Germany and Au
 stria.\nShe is an Associate Editor as well as Corresponding Editor for sev
 eral journals in the area of applied mathematics and electrical engineerin
 g. She is also a board member of the Berlin Mathematical School\, a member
  of the council of the MATHEON "Mathematics for key technologies" in Berli
 n\, and the chair of the GAMM activity group on\n"Mathematical Signal- and
  Image Processing".
LOCATION:BC 420 https://plan.epfl.ch/?room==BC%20420
STATUS:CONFIRMED
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