NDLI: Inhomogeneous morphological PDEs for robust and adaptive image shock filters

Content Provider	IET Digital Library
Author	Diop, El Hadji S. Angulo, Jesùs
Abstract	Classical morphological filters suffer from well performing in a noisy environment, and intrinsic image structures are not taken into account. The authors propose here an alternative to overcome such weaknesses, by properly using robust shock filters and inhomogeneity. Thus, they obtain multiscale morphological operators by using image edge functions as local weights in inhomogeneous Hamiltonians in classical multiscale dilations/erosions formulated with partial differential equations (PDEs). They provide the equivalent sup–inf-based formulations, and derive sharpening/enhancement methods. In addition, they establish the PDE associated with the asymptotical iterations of the proposed robust and adaptive filters. The good behaviours of the proposed sup–inf and PDE-based methods are illustrated on synthetic, greyscale, and colour images; results are analysed both qualitatively and quantitatively.
Starting Page	1035
Ending Page	1046
Page Count	12
ISSN	17519659
Volume Number	14
e-ISSN	17519667
Issue Number	Issue 6, May (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-ipr/14/6
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-ipr.2019.0086
Journal	IET Image Processing
Publisher Date	2020-01-09
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Adaptive Filter Adaptive Image Shock Filter Classical Morphological Filter Computer Vision And Image Processing Technique Differential Equation (numerical Analysis) Edge Detection Equivalent Sup–inf-based Formulations Filtering Method in Signal Processing Greyscale,colour Image Image Edge Function Image Enhancement Image Filtering Image Recognition Inhomogeneous Hamiltonians Inhomogeneous Morphological PDE Interpolation And Function Approximation Intrinsic Image Structure Iterative Method Local Weight Mathematical Morphology Multiscale Morphological Operators Noisy Environment Numerical Analysis Partial Differential Equation PDE-based Method Robust Filter Robust Image Shock Filter Robust Shock Filter Synthetic Colour Image
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering Computer Vision and Pattern Recognition Software

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