Presentation | 2012-12-13 Image approximation with root images of morphological filters and its application to image recovery Makoto NAKASHIZUKA, Yu ASHIHARA, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | Morphology filter / signal approximation / image recovery / image denoising |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | This report proposes an image approximation method with root signals of morphological filters and its application to image recovery. In morphological image processing, an image is transformed into a subset of the three-dimensional space, of which axises are intensity and two-dimensional coordinates. Opening and closing, which are typical morphological filters, obtains an approximation of an image as a union of translated structuring elements in the three dimensional space. Opened or closed images are root signals of opening or closing. However, the opening and closing do not approximate images in terms of minimum squared error. In this report, we propose an approximation method with the root signals of the morphological filter by using soft morphological filters and framework of regularization. In experiments, we apply the propose method to denoising of noisy images corrupted by Gaussian noises and compare the denoising results with results obtained by regularization method that imposes the penalty on the intensity differences among image pixels |
Paper # | SIS2012-39 |
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Committee | SIS |
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Conference Date | 2012/12/6(1days) |
Place (in Japanese) | (See Japanese page) |
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Registration To | Smart Info-Media Systems (SIS) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | Image approximation with root images of morphological filters and its application to image recovery |
Sub Title (in English) | |
Keyword(1) | This report proposes an image approximation method with root signals of morphological filters and its application to image recovery. In morphological image processing, an image is transformed into a subset of the three-dimensional space, of which axises are intensity and two-dimensional coordinates. Opening and closing, which are typical morphological filters, obtains an approximation of an image as a union of translated structuring elements in the three dimensional space. Opened or closed images are root signals of opening or closing. However, the opening and closing do not approximate images in terms of minimum squared error. In this report, we propose an approximation method with the root signals of the morphological filter by using soft morphological filters and framework of regularization. In experiments, we apply the propose method to denoising of noisy images corrupted by Gaussian noises and compare the denoising results with results obtained by regularization method that imposes the penalty on the intensity differences among image pixels |
1st Author's Name | Makoto NAKASHIZUKA |
1st Author's Affiliation | Faculty of Engineering Chiba Institute of Technology() |
2nd Author's Name | Yu ASHIHARA |
2nd Author's Affiliation | Graduate School of Engineering Science Osaka University |
Date | 2012-12-13 |
Paper # | SIS2012-39 |
Volume (vol) | vol.112 |
Number (no) | 348 |
Page | pp.pp.- |
#Pages | 6 |
Date of Issue |