本文研究尺度滤波器的基本分解问题。基于所得结果，对于任意给定的尺度滤波器，给出了双正交小波矩阵的构造方案。
In this paper, the factorization of scaling vector filters into prime factors is considered. A construction of bi-orthogonal wavelet matrix with pre-asigned scaling filter is given.
论文提出一种基于高斯滤波器的尺度相乘边缘检测算法。
This paper presents an algorithm to edge detection by scale multiplication based on Gaussian filter.
提出了一种用于多尺度边缘检测的小波变换滤波器系数的计算方法，并且以具体例子进行了检验，表明了该方法的有效性。
A method of calculating wavelet transformation filter coefficients for multiscale edge detection is given in this paper, and the efficiency of the method is clarified.
论文基于这一思想，从二维平滑函数出发，并根据尺度呈级数变化的特点，导出了一组多尺度小波滤波器。
According to the peculiarity that the scale exhibit progressional variety, this paper deduces a group of multiscale wavelet filter from two dimensions smooth function.
用这种滤波器实现了平移、旋转、尺度三重不变光学图像识别，且有较高的信噪比。
By this filter, the shift, scale and rotation invariant optical pattern recognition was realized with a high signal noise ratio of correlation output.
当两种滤波器的尺度空间常数很大时，它们的时域与频域性能基本相近。
When the scale space constants of the two filters are large enough, the characteristics and performances are almost the same.
根据数值计算误差的特点分析及小波包多尺度、高分辨的特性，设计了一种基于小波包的滤波器，较好地解决了消除数值积分计算引入误差的问题。
A filter is designed based on wavelet packet according to the features of numerical integral errors and those of multiple scales and high resolving power of wavelet packet.
该滤波器能够根据图像区域特性差异及噪声强弱自适应地采用不同的滤波尺度。
Meanwhile, the filter can adopt different filter scale in adaptive mode in the light of character divergence of image region and intensity of noise.
针对这种相关性，并结合薄雾退化图像的特点，采用了一种多尺度的处理方法，对处理后的图像采用自适应中值滤波器滤除噪声。
According to this correlation and the features of the degradation images by fog the method of multi-scale process was used in this paper.
该算法以小波变换中的滤波器理论为基础，通过将图像序列在时间域的尺度分解和相应统计量计算，获得在红外焦平面校正中起影响的偏置和增益系数。
With the scale decomposition of image sequences on the time field and the corresponding statistics' calculation, the offset and gain coefficients in IRFPA NUC were obtained.
用CB形态滤波器对灰度图进行滤波，构成CB形态学尺度空间，以实现对拐角的多尺度检测。
Filtering the intensity image by CB morphological filters, the idea of CB morphological scale space is constructed, by which to realize multi scale corner detection.
并进一步构造了与尺度函数对称点一致、系数长度不超过8的所有对称（反对称） 小波滤波器组。
Moreover, all symmetric and antisymmetric wavelets, which have same symmetric point as the scaling function and the length of their filters are no more than 8, are also given.
研究基于过采样滤波器组的多尺度边缘检测算法。
Then design wavelet multi-scale edge detection algorithm based on fuzzy theory.
基于正交二进小波，设计了一个滤波器对图象进行多尺度滤波，得到不同尺度的小波变换。
A filter based on orthonormal wavelet bases is designed to do wavelet transform with images. Different scale image edges can be detected form different scale image wavelet transform.
基于正交二进小波，设计了一个滤波器对图象进行多尺度滤波，得到不同尺度的小波变换。
A filter based on orthonormal wavelet bases is designed to do wavelet transform with images. Different scale image edges can be detected form different scale image wavelet transform.
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