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I developed a new image processing method inspired by the wavelet transform that uses a concentric mother wavelet. The method can be used for noise filtering, feature extraction, image enhancement, and other applications. It is effective for images with low spatial frequencies. When filtering small-sized images, it is often difficult to set masks for Fourier filtering; however, the present method does not need mask setting, which can facilitate the filtering process. In practice, many concentric mother wavelets that have different frequencies are prepared in advance and the cross-correlation between the input image and the prepared wavelets is calculated. Reconstruction or image processing can be easily performed by combining the obtained results for each frequency. I believe that the present method could aid image processing related to material analysis.

権利情報:

• Creative Commons BY-NC-ND Attribution-NonCommercial-NoDerivs 4.0 International
  

キーワード: Wavelet transform, Fourier transform, Image processing

刊行年月日: 2023-03-11

出版者: Elsevier BV

掲載誌:

• Micron (ISSN: 09684328) vol. 168 103442

研究助成金:

原稿種別: 著者最終稿 (Accepted manuscript)

MDR DOI: https://doi.org/10.48505/nims.4565

公開URL: https://doi.org/10.1016/j.micron.2023.103442

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更新時刻: 2025-03-11 12:30:14 +0900

MDRでの公開時刻: 2025-03-11 12:30:16 +0900