[IPOL discuss] [IPOL announce] new article: Implementation of Image Denoising based on Backward Stochastic Differential Equations

[announcements about the IPOL journal]

A new article is available in IPOL: https://www.ipol.im/pub/art/2023/467/

Dariusz Borkowski,
Implementation of Image Denoising based on Backward Stochastic 
Differential Equations,
Image Processing On Line, 13 (2023), pp. 321–349.
https://doi.org/10.5201/ipol.2023.467


Abstract
In this paper, we give the implementation of an image denoising 
algorithm based on backward stochastic differential equations. In our 
algorithm, we consider two stochastic processes. One of them has values 
in the image domain and determines pixels that will be involved in the 
reconstruction, the second one has values in the image codomain and 
gives weights to values of pixels. The reconstructed image is 
characterized by smoothing noisy pixels and at the same time enhancing 
edges. Our experiments show that the new approach gives very good 
results and can be successfully used to reconstruct images.




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