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Bibliographic record number: 369620

Journal

Authors: Welk, Martin; Weickert, Joachim; Galić, Irena
Title: Theoretical Foundations for 1-D Shock Filtering
( Theoretical Foundations for 1-D Shock Filtering )
Source: Image and vision computing (0262-8856) 25 (2007), 4; 455-463
Paper type: article
Keywords: shock filters; analytical solution; well-posedness; dynamical systems; mode filters
( shock filters; analytical solution; well-posedness; dynamical systems; mode filters )
Abstract:
While shock filters are popular morphological image enhancement methods, no well-posedness theory is available for their corresponding partial differential equations (PDE). By analysing the dynamical system of ordinary differential equations that results from a space discretisation od a PDE for 1-D shock filtering, we derive an analytical solution and prove well-posedness. We show that the results carry over to the fully discrete case when an explicit time discretisation is applied. Finally we establish an equivalence result between discrete shock filtering and local mode filtering.
Project / theme: 165-0362980-2002
Original language: eng
Citation databases: Current Contents Connect (CCC)
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Category: Znanstveni
Research fields:
Computer science
URL cjelovitog rada:
Google Scholar: Theoretical Foundations for 1-D Shock Filtering
Contrib. to CROSBI by: irena@etfos.hr (irena@etfos.hr), 28. Lis. 2008. u 11:02 sati



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