Adaptive double-phase Rudin--Osher--Fatemi denoising model

• URL: http://arxiv.org/abs/2510.04382v1
• Date: Sun, 05 Oct 2025 22:26:06 GMT
• Title: Adaptive double-phase Rudin--Osher--Fatemi denoising model
• Authors: Wojciech Górny, Michał Łasica, Alexandros Matsoukas,
• Abstract summary: We propose a new image denoising model based on a variable-growth total variation regularization of double-phase type with adaptive weight.<n>It is designed to reduce staircasing with respect to the classical Rudin--Osher--Fatemi model.
• Score: 41.99844472131922
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a new image denoising model based on a variable-growth total variation regularization of double-phase type with adaptive weight. It is designed to reduce staircasing with respect to the classical Rudin--Osher--Fatemi model, while preserving the edges of the image in a similar fashion. We implement the model and test its performance on synthetic and natural images in 1D and 2D over a range of noise levels.

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