Didier Auroux Laboratoire MIP Institut de Mathematiques de Toulouse Universite Paul Sabatier Toulouse France ups tlse fr

-

English
47 Pages
Read an excerpt
Gain access to the library to view online
Learn more

Description

Didier Auroux Laboratoire MIP - Institut de Mathematiques de Toulouse Universite Paul Sabatier Toulouse 3 France Image restoration and classification by topological asymptotic expansion. Mathematics and Image Analysis 2006, MIA'06, Paris, France September 18-21, 2006

  • image restoration

  • general formulation

  • preserve them

  • u? ??

  • restoration-based preprocessing

  • becoming blurred

  • topological gradient

  • numerical results


Subjects

Informations

Published by
Reads 14
Language English
Report a problem
MIA’06,Paris,FranceMathematicsandImageAnalysis2006,ImagerestorationandclassificationDidierAurouxSeptember18-21,2006bytopologicalasymptoticexpansion.Franceauroux@mip.ups-tlse.frLaboratoireMIP-InstitutdeMath´ematiquesdeToulouseUniversit´ePaulSabatierToulouse3
Talkoverview1.Introductiontotopologicalasymptoticexpansion2.Imagerestoration(a)Linearapproach(b)Nonlinearvariationalapproach(c)Topologicalgradientapproach3.Regularizedimageclassification(a)Topologicalgradientappliedtotheclassicalapproach(b)Restoration-basedpreprocessingmethod4.Afewmorenumericalresults5.ConclusionMIA’06,Paris,September20,2006/146
IntroductionImagerestorationproblem:howtode-noisetheimage?Inordertopreventtheimagebecomingblurred,wemustidentifyitscontoursinordertopreservem.ehtTofindanoptimalshape(thesetofcontours)isequivalenttofinditscharacteristicfunction(01optimizationproblem).Thegoalofimageclassificationistofindapartitionoftheimageinsubsetswithaconstantcolorlevelineachsubset.Mainprobleminbothcases:thenondifferentiability.MIA’06,Paris,September20,200664/2
MIA’06,ASYMPTOTICANALYSISTOPOLOGICALParis,September20,2006GRADIADNENT463/