小波变换与纹理合成相结合的图像修复
Image inpainting based on combination of wavelet transform and texture synthesis
- 2015年20卷第7期 页码:882-894
网络出版:2015-07-07,
纸质出版:2015
DOI: 10.11834/jig.20150704
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网络出版:2015-07-07,
纸质出版:2015
移动端阅览
为了克服传统的图像修复算法在结构和纹理边界的错误修复
利用小波变换域的系数特征
探讨了一种基于小波变换与纹理合成相结合的修复算法。 算法先利用小波变换将待修复图像分解成具有不同分辨率的低频子图和高频子图
然后根据不同子图各自的特征分别进行修复。对代表图像结构信息的低频子图
采用FMM(fast marching method)算法进行修复;对代表图像纹理信息的高频子图
根据各子图中小波系数的特征
利用纹理合成方法进行修复。 分层、分类修复方法对边缘破损具有良好的修复效果
其峰值信噪比相比于传统算法提高了1~2 dB。 与相关算法相比
本文算法的综合修复能力较好
可以有效修复具有较强边缘和丰富纹理的破损图像
尤其对破损自然图像的修复
修复后图像质量得到较大提升
修复效果更符合人眼视觉效应。
An image inpainting algorithm based on combination of wavelet transform and texture synthesis is discussed to overcome the error repair of the boundary of structure and texture in traditional image inpainting algorithm. The discussed image inpainting algorithm utilizes characters of wavelet transform domain coefficients. Wavelet transform has been used as a good image representation analysis in addition to statistical properties. Multiresolution analysis of wavelet transform is helpful to predict coarse-to-fine image structure. In particular
texture and detailed patterns for natural images must be analyzed. Wavelet can treat these elements altogether. In view of the advantages of image decomposition algorithm
wavelet coefficient statistical properties
and visual effect of edge information of an image
we proposed an image inpainting algorithm based on combination of wavelet transform and texture synthesis. Our reconstruction modeling is based on classical image decomposition model. Some actions have been taken to improve reconstruction performance. An image can be seen as a combination of texture and structure. Thus
the image repair process should fully consider the texture and structural characteristics of an image. At first
the damaged image is decomposed into low-frequency sub-image and high-frequency sub-image with different resolutions via wavelet transformation. In cases where low-frequency component represents image structure
high-frequency component reflects edge changes of an image. Moreover
low-frequency component has a positional correspondence relationship with high-frequency component. Then
sub-images are reconstructed in accordance with their respective characteristics. The sub-image that reflects structural information of an image is reconstructed with fast multipole method
whereas the sub-image that reflects texture information of an image is filled in with texture synthesis based on the characteristics of wavelet coefficient in sub-images. We introduce edge factor in combination with the characters of the wavelet transform domain coefficients to update priority function in the process of reconstituting high-frequency sub-images. Finally
the recovered sub-images are reconstructed with wavelet. Simulation results show that this hierarchical classification method works well in edge damaged blocks. The power signal-to-noise ratio of the final result compared with the traditional algorithm has been improved by approximately 1 dB to 2 dB. The repair results are consistent with human visual perception. Image decomposition model is a widely used image inpainting method. However
fuzzy and mismatching can be generated easily during the repair process. Therefore
when high-frequency component is repaired
changes in factor coefficients of high-frequency components must be introduced to enable the repair process be in accordance with edge direction. In such case
repairing image edge and improving matching block search are top priorities to reduce mismatch error. The proposed method can eliminate point defects in the repair process. Compared with the related algorithms
our algorithm holds good integrated performance. It can effectively repair damaged image with strong edges and rich texture
particularly for the loss scenarios and natural images
to improve image inpainting quality and to be consistent with human visual effects.
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