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Content Provider | IET Digital Library |
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Author | Chen, Beijing Liu, Quansheng Sun, Xingming Li, Xu Shu, Huazhong |
Abstract | In this study, a new quaternion filter for removal of Gaussian noise in colour images is presented. It is based on the quaternion representation of colour images and the optimisation of a tight bound of the quaternion mean-square error between the restored colour image and the original one, together with the essential idea of the non-local means filter. The optimal weights are obtained by using the method of Lagrange multipliers. The authors' quaternion optimal weights non-local means filter is given by the weighted means of the observed quaternion representation using the optimal weights. Experiments on commonly used images are provided to illustrate the efficiency of the proposed filter. |
Starting Page | 591 |
Ending Page | 600 |
Page Count | 10 |
ISSN | 17519659 |
Volume Number | 8 |
e-ISSN | 17519667 |
Issue Number | Issue 10, Oct (2014) |
Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-ipr/8/10 |
Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-ipr.2013.0521 |
Journal | IET Image Processing |
Publisher Date | 2014-05-08 |
Access Restriction | Open |
Rights Holder | © The Institution of Engineering and Technology |
Subject Keyword | Colour Image Restoration Computer Vision And Image Processing Technique Filtering Method in Signal Processing Filtering Theory Gaussian Noise Gaussian Noise Removal Image Colour Analysis Image Denoising Image Representation Image Restoration Interpolation And Function Approximation Lagrange Multiplier Mean Square Error Method Numerical Analysis Optical, Image And Video Signal Processing Optimisation Optimisation Technique Quaternion Mean-square Error Quaternion Optimal Weight Nonlocal Mean Filter Quaternion Representation Statistics |
Content Type | Text |
Resource Type | Article |
Subject | Signal Processing Electrical and Electronic Engineering Computer Vision and Pattern Recognition Software |
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