A Study on noise removal performance of the extended total variation filter for the restoration of images degraded by the mixed noise

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  • 混合雑音画像に対する拡張 Total Variation フィルタの雑音除去性能に関する考察
  • コンゴウ ザツオン ガゾウ ニ タイスル カクチョウ Total Variation フィルタ ノ ザツオン ジョキョ セイノウ ニ カンスル コウサツ

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Abstract

Total Variation (TV) filter is a nonlinear smoothing filter that is suitable mainly for Gaussian noise removal, and has an advantage of preserving edges of the objects, comparing with the conventional linear smoothing filters. We formerly extended the framework of TV filter, so that it can be applied not only for Gaussian noise but also impulse noise, which is called extended TV filter. In this paper, we applied the extended TV filter for the restoration of images degraded by the mixed noise that is composed of both Gaussian noise and impulse noise. In the proposed framework, it is required to detect spatial positions of impulse for removing the mixed noise successfully. Therefore, we introduced one of the most efficient impulse noise detectors we formerly proposed, which is based on Gaussian curvature of the image surface. Through the several noise removal experiments, it is verified that the image quality of the restored images is effectively improved, compared with the conventional filters such as original TV, DW-MTM and the hybrid of switching median and bilateral filter.

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