一种全变差正则化流场的图像抑噪方法

卢成武; 宋国乡

doi:10.3724/SP.J.1146.2007.01039

一种全变差正则化流场的图像抑噪方法

doi: 10.3724/SP.J.1146.2007.01039

卢成武^{①②;宋国乡},
宋国乡

基金项目:

国家自然科学基金(60473119)资助课题

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- 被引次数: 17
出版历程
- 收稿日期: 2007-06-25
- 修回日期: 2007-11-30
- 刊出日期: 2009-01-19

An Image Denoising Method Using Total Variation Regularization for Flow Field

Lu Cheng-wu^{①②;宋国乡},
Song Guo-xiang

摘要

摘要: 利用Meyer的图像分解理论，提出一种磨光流场的全变差正则化抑噪方法。该方法首先引入负指数Hilbert- Sobolev范数度量逼近项，对图像水平曲线的法向量场进行全变差正则化磨光，然后构造出一个曲面拟合模型，拟合磨光后的流场。最后，利用有限差分法对各模型所导出Euler-Lagrange方程进行数值求解。实验结果表明，该方法在有效去噪的同时，使边缘和纹理信息均得到较好的保持。
- 图像分解;全变差;流场;Hilbert-Sobolev范数
Abstract: Using image decomposition theory proposed by Meyer, a total variation image denoising method based on smoothing flow field is presented. Firstly, through applying Hilbert-Sobolev norm to measure fidelity term, a total variation filter is used to smooth the normal vectors of the level curves of a noise image. And then, a model is constructed to find a surface which fit smoothed normal vectors. Finally, finite difference schemes are used to solve the Euler-Lagrange functions derived from above models. The experiments show that the approach not only can remove noisy efficiently, but also can retain edges and texture.

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参考文献(1)

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