Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Extended Guided Filter: Simultaneous Noise Suppression and Details Enhancement

Version 1 : Received: 11 January 2024 / Approved: 11 January 2024 / Online: 12 January 2024 (09:50:48 CET)

How to cite: Li, J.; Sun, Z. Extended Guided Filter: Simultaneous Noise Suppression and Details Enhancement. Preprints 2024, 2024010969. https://doi.org/10.20944/preprints202401.0969.v1 Li, J.; Sun, Z. Extended Guided Filter: Simultaneous Noise Suppression and Details Enhancement. Preprints 2024, 2024010969. https://doi.org/10.20944/preprints202401.0969.v1

Abstract

Guided image filter implicitly balances noise and details based on local variance, achieving noise suppression while preserving prominent edges. However, we have observed limitations in using variance to distinguish between noise and image details, resulting in the suppression of fine structures alongside noise. Furthermore, the goal of enhancing image details, which is crucial in image filtering, has not been adequately addressed in edge-preserving filter design. In this paper, we approach image filtering as a problem of spectral energy reconfiguration, where the gain of each spectral band is adaptively regulated to achieve simultaneous noise suppression and detail enhancement. Instead of relying on variance, we employ a linear noise estimator to obtain the Signal-to-Noise Ratio (SNR) measurement necessary for dynamic gain regulation. Similar to the guided image filter, we determine the filter coefficients by solving the closed-form solution of the optimizer. We demonstrate that the proposed extended guided filter effectively integrates information from multiple spectral bands locally, allowing for the joint enhancement of meaningful details while simultaneously smoothing noise.

Keywords

Guided image filter; denoising; enhancement.

Subject

Computer Science and Mathematics, Signal Processing

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