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Content Provider | IET Digital Library |
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Author | Diop, El Hadji S. Angulo, Jesùs |
Abstract | The authors propose here to overcome lacks of robustness against noise and adaptability to image features for which classical morphological operators suffer from. For doing this, they propose to deal with partial differential equations (PDEs) for generalised Cauchy problems, and they show that the proposed PDEs are equivalent to impose both robustness and adaptability to structuring functions of the corresponding sup-inf operators. This allows them to introduce spatially adaptability in levellings, and it turns out that the proposed approach constitutes a PDE formulation and a generalisation of a larger class of levellings, the so-called extended levellings, for which one of them are characterised by quasi-flat zones. They show the efficiency of the proposed approach on synthetic, grey, and colour images with different types of noises. |
Starting Page | 1597 |
Ending Page | 1607 |
Page Count | 11 |
ISSN | 17519659 |
Volume Number | 13 |
e-ISSN | 17519667 |
Issue Number | Issue 10, Aug (2019) |
Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-ipr/13/10 |
Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-ipr.2018.5151 |
Journal | IET Image Processing |
Publisher Date | 2019-01-16 |
Access Restriction | Open |
Rights Holder | © The Institution of Engineering and Technology |
Subject Keyword | Colour Image Computer Vision And Image Processing Technique Extended Levellings Generalised Cauchy Problem Grey Image Image Colour Analysis Local Image Feature Mathematical Analysis Morphological Operators Noise Optical, Image And Video Signal Processing Partial Differential Equation PDE Formulation PDEs Quasiflat Zones Spatially Adaptive Scale Space Sup-inf Operators Synthetic Image |
Content Type | Text |
Resource Type | Article |
Subject | Signal Processing Electrical and Electronic Engineering Computer Vision and Pattern Recognition Software |
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