Matches in SemOpenAlex for { <https://semopenalex.org/work/W1604107194> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W1604107194 abstract "Weighted averaging filters and nonlinear partial differential equations (PDEs) are two popular concepts for discontinuity-preserving denoising. In this paper we investigate novel relations between these filter classes: We deduce new PDEs as the scaling limit of the spatial step size of discrete weighted averaging methods. In the one-dimensional setting, a simple weighted averaging of both neighbouring pixels leads to a modified Perona-Malik-type PDE with an additional acceleration factor that provides sharper edges. A similar approach in the two-dimensional setting yields PDEs that lack rotation invariance. This explains a typical shortcoming of many averaging filters in 2-D. We propose a modification leading to a novel, anisotropic PDE that is invariant under rotations. By means of the example of the bilateral filter, we show that involving a larger number of neighbouring pixels improves rotational invariance in a natural way and leads to the same PDE formulation. Numerical examples are presented that illustrate the usefulness of these processes." @default.
- W1604107194 created "2016-06-24" @default.
- W1604107194 creator A5007086183 @default.
- W1604107194 creator A5036903310 @default.
- W1604107194 date "2006-01-01" @default.
- W1604107194 modified "2023-09-26" @default.
- W1604107194 title "From Adaptive Averaging to Accelerated Nonlinear Diffusion Filtering" @default.
- W1604107194 cites W2026849320 @default.
- W1604107194 cites W2031314447 @default.
- W1604107194 cites W2099046646 @default.
- W1604107194 cites W2105364438 @default.
- W1604107194 cites W2109991658 @default.
- W1604107194 cites W2125189371 @default.
- W1604107194 cites W2136396015 @default.
- W1604107194 cites W2150134853 @default.
- W1604107194 cites W2168896212 @default.
- W1604107194 cites W3011612142 @default.
- W1604107194 doi "https://doi.org/10.1007/11861898_11" @default.
- W1604107194 hasPublicationYear "2006" @default.
- W1604107194 type Work @default.
- W1604107194 sameAs 1604107194 @default.
- W1604107194 citedByCount "7" @default.
- W1604107194 countsByYear W16041071942014 @default.
- W1604107194 countsByYear W16041071942021 @default.
- W1604107194 crossrefType "book-chapter" @default.
- W1604107194 hasAuthorship W1604107194A5007086183 @default.
- W1604107194 hasAuthorship W1604107194A5036903310 @default.
- W1604107194 hasConcept C106131492 @default.
- W1604107194 hasConcept C11413529 @default.
- W1604107194 hasConcept C115961682 @default.
- W1604107194 hasConcept C121332964 @default.
- W1604107194 hasConcept C134306372 @default.
- W1604107194 hasConcept C154945302 @default.
- W1604107194 hasConcept C158622935 @default.
- W1604107194 hasConcept C160633673 @default.
- W1604107194 hasConcept C190470478 @default.
- W1604107194 hasConcept C203504353 @default.
- W1604107194 hasConcept C2524010 @default.
- W1604107194 hasConcept C2777042112 @default.
- W1604107194 hasConcept C28826006 @default.
- W1604107194 hasConcept C31972630 @default.
- W1604107194 hasConcept C33923547 @default.
- W1604107194 hasConcept C37914503 @default.
- W1604107194 hasConcept C41008148 @default.
- W1604107194 hasConcept C62520636 @default.
- W1604107194 hasConcept C74050887 @default.
- W1604107194 hasConcept C93779851 @default.
- W1604107194 hasConcept C99844830 @default.
- W1604107194 hasConceptScore W1604107194C106131492 @default.
- W1604107194 hasConceptScore W1604107194C11413529 @default.
- W1604107194 hasConceptScore W1604107194C115961682 @default.
- W1604107194 hasConceptScore W1604107194C121332964 @default.
- W1604107194 hasConceptScore W1604107194C134306372 @default.
- W1604107194 hasConceptScore W1604107194C154945302 @default.
- W1604107194 hasConceptScore W1604107194C158622935 @default.
- W1604107194 hasConceptScore W1604107194C160633673 @default.
- W1604107194 hasConceptScore W1604107194C190470478 @default.
- W1604107194 hasConceptScore W1604107194C203504353 @default.
- W1604107194 hasConceptScore W1604107194C2524010 @default.
- W1604107194 hasConceptScore W1604107194C2777042112 @default.
- W1604107194 hasConceptScore W1604107194C28826006 @default.
- W1604107194 hasConceptScore W1604107194C31972630 @default.
- W1604107194 hasConceptScore W1604107194C33923547 @default.
- W1604107194 hasConceptScore W1604107194C37914503 @default.
- W1604107194 hasConceptScore W1604107194C41008148 @default.
- W1604107194 hasConceptScore W1604107194C62520636 @default.
- W1604107194 hasConceptScore W1604107194C74050887 @default.
- W1604107194 hasConceptScore W1604107194C93779851 @default.
- W1604107194 hasConceptScore W1604107194C99844830 @default.
- W1604107194 hasLocation W16041071941 @default.
- W1604107194 hasOpenAccess W1604107194 @default.
- W1604107194 hasPrimaryLocation W16041071941 @default.
- W1604107194 hasRelatedWork W2018258351 @default.
- W1604107194 hasRelatedWork W2034182122 @default.
- W1604107194 hasRelatedWork W2047835830 @default.
- W1604107194 hasRelatedWork W2057623054 @default.
- W1604107194 hasRelatedWork W2360154135 @default.
- W1604107194 hasRelatedWork W2371447506 @default.
- W1604107194 hasRelatedWork W2386767533 @default.
- W1604107194 hasRelatedWork W240779815 @default.
- W1604107194 hasRelatedWork W2748952813 @default.
- W1604107194 hasRelatedWork W3107474891 @default.
- W1604107194 isParatext "false" @default.
- W1604107194 isRetracted "false" @default.
- W1604107194 magId "1604107194" @default.
- W1604107194 workType "book-chapter" @default.