Naslov
Theoretical Foundations for 1-D Shock Filtering

Autori
Welk, Martin ; Weickert, Joachim ; Galić, Irena

Izvornik
Image and vision computing (0262-8856) 25 (2007), 4; 455-463

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
shock filters; analytical solution; well-posedness; dynamical systems; mode filters

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Računarstvo

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