Iterative truncated arithmetic mean filter and its properties
The arithmetic mean and the order statistical median are two fundamental operations in signal and image processing. They have their own merits and limitations in noise attenuation and image structure preservation. This paper proposes an iterative algorithm that truncates the extreme values of sample...
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2013
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| Online Access: | https://hdl.handle.net/10356/99276 http://hdl.handle.net/10220/13471 |
| _version_ | 1826110711502209024 |
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| author | Jiang, Xudong |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Jiang, Xudong |
| author_sort | Jiang, Xudong |
| collection | NTU |
| description | The arithmetic mean and the order statistical median are two fundamental operations in signal and image processing. They have their own merits and limitations in noise attenuation and image structure preservation. This paper proposes an iterative algorithm that truncates the extreme values of samples in the filter window to a dynamic threshold. The resulting nonlinear filter shows some merits of both the fundamental operations. Some dynamic truncation thresholds are proposed that guarantee the filter output, starting from the mean, to approach the median of the input samples. As a by-product, this paper unveils some statistics of a finite data set as the upper bounds of the deviation of the median from the mean. Some stopping criteria are suggested to facilitate edge preservation and noise attenuation for both the long- and short-tailed distributions. Although the proposed iterative truncated mean (ITM) algorithm is not aimed at the median, it offers a way to estimate the median by simple arithmetic computing. Some properties of the ITM filters are analyzed and experimentally verified on synthetic data and real images. |
| first_indexed | 2024-10-01T02:38:58Z |
| format | Journal Article |
| id | ntu-10356/99276 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:38:58Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/992762020-03-07T13:57:31Z Iterative truncated arithmetic mean filter and its properties Jiang, Xudong School of Electrical and Electronic Engineering DRNTU::Engineering::Computer science and engineering::Computing methodologies::Image processing and computer vision The arithmetic mean and the order statistical median are two fundamental operations in signal and image processing. They have their own merits and limitations in noise attenuation and image structure preservation. This paper proposes an iterative algorithm that truncates the extreme values of samples in the filter window to a dynamic threshold. The resulting nonlinear filter shows some merits of both the fundamental operations. Some dynamic truncation thresholds are proposed that guarantee the filter output, starting from the mean, to approach the median of the input samples. As a by-product, this paper unveils some statistics of a finite data set as the upper bounds of the deviation of the median from the mean. Some stopping criteria are suggested to facilitate edge preservation and noise attenuation for both the long- and short-tailed distributions. Although the proposed iterative truncated mean (ITM) algorithm is not aimed at the median, it offers a way to estimate the median by simple arithmetic computing. Some properties of the ITM filters are analyzed and experimentally verified on synthetic data and real images. 2013-09-13T04:15:14Z 2019-12-06T20:05:18Z 2013-09-13T04:15:14Z 2019-12-06T20:05:18Z 2011 2011 Journal Article Jiang, X. (2011). Iterative truncated arithmetic mean filter and its properties. IEEE transactions on image processing, 21(4), 1537-1547. 1057-7149 https://hdl.handle.net/10356/99276 http://hdl.handle.net/10220/13471 10.1109/TIP.2011.2172805 en IEEE transactions on image processing © 2011 IEEE |
| spellingShingle | DRNTU::Engineering::Computer science and engineering::Computing methodologies::Image processing and computer vision Jiang, Xudong Iterative truncated arithmetic mean filter and its properties |
| title | Iterative truncated arithmetic mean filter and its properties |
| title_full | Iterative truncated arithmetic mean filter and its properties |
| title_fullStr | Iterative truncated arithmetic mean filter and its properties |
| title_full_unstemmed | Iterative truncated arithmetic mean filter and its properties |
| title_short | Iterative truncated arithmetic mean filter and its properties |
| title_sort | iterative truncated arithmetic mean filter and its properties |
| topic | DRNTU::Engineering::Computer science and engineering::Computing methodologies::Image processing and computer vision |
| url | https://hdl.handle.net/10356/99276 http://hdl.handle.net/10220/13471 |
| work_keys_str_mv | AT jiangxudong iterativetruncatedarithmeticmeanfilteranditsproperties |