A Signal Processing Approach to Generalized 1-D Total Variation

Karahanoglu F. I., Bayram I., Van De Ville D.

IEEE TRANSACTIONS ON SIGNAL PROCESSING, cilt.59, sa.11, ss.5265-5274, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 59 Sayı: 11
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1109/tsp.2011.2164399
  • Dergi Adı: IEEE TRANSACTIONS ON SIGNAL PROCESSING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5265-5274
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

Total variation (TV) is a powerful method that brings great benefit for edge-preserving regularization. Despite being widely employed in image processing, it has restricted applicability for 1-D signal processing since piecewise-constant signals form a rather limited model for many applications. Here we generalize conventional TV in 1-D by extending the derivative operator, which is within the regularization term, to any linear differential operator. This provides flexibility for tailoring the approach to the presence of nontrivial linear systems and for different types of driving signals such as spike-like, piecewise-constant, and so on. Conventional TV remains a special case of this general framework. We illustrate the feasibility of the method by considering a nontrivial linear system and different types of driving signals.