• About
  • Policies
  • What is openaccess
  • Library
  • Contact
Advanced search
      View Item 
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Engineering
      • Department of Electrical and Electronics Engineering
      • View Item
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Engineering
      • Department of Electrical and Electronics Engineering
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Denoising using projections onto the epigraph set of convex cost functions

      Thumbnail
      View / Download
      921.3 Kb
      Author
      Tofighi, Mohammad
      Köse, K.
      Çetin, A. Enis
      Date
      2014
      Source Title
      Proceedings of the International Conference on Image Processing, IEEE 2014
      Publisher
      IEEE
      Pages
      2709 - 2713
      Language
      English
      Type
      Conference Paper
      Item Usage Stats
      135
      views
      127
      downloads
      Abstract
      A new denoising algorithm based on orthogonal projections onto the epigraph set of a convex cost function is presented. In this algorithm, the dimension of the minimization problem is lifted by one and feasibility sets corresponding to the cost function using the epigraph concept are defined. As the utilized cost function is a convex function in RN, the corresponding epigraph set is also a convex set in RN+1. The denoising algorithm starts with an arbitrary initial estimate in RN+1. At each step of the iterative denoising, an orthogonal projection is performed onto one of the constraint sets associated with the cost function in a sequential manner. The method provides globally optimal solutions for total-variation, ℓ1, ℓ2, and entropic cost functions.1
      Keywords
      Denoising
      Epigraph of a cost function
      Projection onto convex sets
      Image denoising
      Iterative methods
      Orthogonal functions
      Convex cost function
      Orthogonal projection
      Permalink
      http://hdl.handle.net/11693/28663
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/ICIP.2014.7025548
      Collections
      • Department of Electrical and Electronics Engineering 3601
      Show full item record

      Browse

      All of BUIRCommunities & CollectionsTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsThis CollectionTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartments

      My Account

      Login

      Statistics

      View Usage StatisticsView Google Analytics Statistics

      Bilkent University

      If you have trouble accessing this page and need to request an alternate format, contact the site administrator. Phone: (312) 290 1771
      © Bilkent University - Library IT

      Contact Us | Send Feedback | Off-Campus Access | Admin | Privacy