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1)  forward symmetry extension
正向对称延拓
1.
A novel approach to reject outliers is proposed,a small sequence sampled online makes up of a new sequence by forward symmetry extension,which is processed by wavelet threshold de-noising,then outliers can be detected,new measurements made up of previous measurements act as current inputs of Kalman filter,the degradation caused by out.
提出了一种新的抗野值滤波方法,在线取测量信号的一个小区间,采用正向对称延拓的方法构成新序列并对其进行小波阈值去噪,检测出野点,用前几个周期的信号构造新的测量值进行Kalman滤波,有效地剔除了野点的影响,滤波系统保持了很好的精度,满足了传递对准的要求。
2)  symmetric extension
对称延拓
1.
In particular,we analyzed the smoothness on boundary after point-symmetric extension,proposed a point-symmetric extension based on odd-length symmetric filter and proved that it preserved the perfect reconstruction while keeping the signal length unchanged.
比较了几种小波变换的边界延拓方式,对小波变换的点对称延拓进行了边界点的光滑性分析,提出基于奇数长对称小波变换的点对称延拓方式,并证明了它在保持信号数据量不变的情况下是可以完全重构的。
2.
First, the ROI(Region of Interest) in the image is extracted and the minimal rectangle region including the ROI is decomposed with wavelet transformation using symmetric extension and padding zero value technology.
本文以小波作为工具提出一种基于内容的图像空间可分级编码方案 ,该方案首先对图像的 ROI(Regions of Interest)进行了一种基于 ROI“包围盒”和 ROI边界对称延拓的小波分解 ,然后对各子带进行阶梯形量化 ,并按子带的重要性顺序对各子带的系数进行重排 ,最后对重排系数进行熵编码 ,从而形成适应于 ROI空间可分级解码需求的码流 。
3.
To ensure the perfect reconstruction in the wavelet transform coding for images,a boundary-symmetric extension method different from the tensor-product wavelet is presented.
讨论了伸缩矩阵为2I2、插值掩模关于两坐标轴和原点对称的插值双正交多元不可分小波的小波掩模构造方法,为了保证在图像的小波变换编码中可以实现信号的完全重构,提出一种不同于张量积小波情形的边界对称延拓方法,证明了不需附加信息即可实现信号的完全重构,最后给出了实验验证。
3)  point-symmetric extension
点对称延拓
1.
In particular,we analyzed the smoothness on boundary after point-symmetric extension,proposed a point-symmetric extension based on odd-length symmetric filter and proved that it preserved the perfect reconstruction while keeping the signal length unchanged.
比较了几种小波变换的边界延拓方式,对小波变换的点对称延拓进行了边界点的光滑性分析,提出基于奇数长对称小波变换的点对称延拓方式,并证明了它在保持信号数据量不变的情况下是可以完全重构的。
4)  mirror-symmetric extension
镜像对称延拓
5)  Embedded Symmetric Extension
嵌入式对称延拓
6)  boundary image processing
对称延拓算法
补充资料:向拓
1.复制古人书画墨迹之法。将古字画贴在窗户上,用白纸覆在上面,就明处勾勒出原笔画,再以浓墨填充。
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