Appropriate threshold and threshold function should be selected to fit the signal process goal when the method is applied . 3 ) developed a de - noise method based on translation invariance wavelet transform . the method performed the cycle - spinning for the signal to be de - noised 3 )针对donoho阈值去噪方法对小波基的平移依赖性而在信号奇异点产生的pseudo - gibbs现象，给出了一种平移不变小波变换去噪方法。
It is significant for the application of wavelts to parameterize them and construct a class of function banks of multiwavelets and nonseparable wavelets which could supply the most optimized bases of wavelets based on the different applied object and the different applied demands 将他们参数化以建立统一的多小波或非分离小波函数库，能使不同应用对象针对不同应用要求选取最优小波基函数，对促进小波应用意义重大。
By means of mallat " s multiscale analysis , we construct two type of arbitrary order cardinal b - spline wavelet . in order to avoid the loss of weak edge , take adaptive filter to sharp image edge . this is the improved image edge detection based on wavelet transform 本文以基于小波变换的边缘检测技术为基础，在小波多分辨分析的框架下构造基于边缘检测的两类b样条单正交小波基函数，并改进现有的基于小波变换的边缘检测算法。
Through a series of experiments , what can be done to fusion performance by wavelet radix , the number of decomposition levels , different fusion of rules , the size of region for measure or threshold is studied according to valuation methods proposed in the paper 通过一系列图像融合实验，利用文中所提出的评测方法研究了不同小波基、不同小波分解层数、不同融合规则、不同特性区域大小、不同阈值对融合性能的影响，从而得到相关结论。
For the reason that wavelet base has the property of multi - resolution , the wavelet technology has infiltrated through many science research fields gradually . in 1994 , finkelstein and salesin applied wavelet technology to the field of surface , who inaugurated a new method for multi - resolution curve surface sculpting 由于小波基具有多分辨特性，故此， 1994年， finkelstein和salesin将小波技术应用到曲线曲面造型领域，开辟了曲线曲面多分辨造型的新方法。
After sorting the values which are gained through the way of wavelet transform multi - resolving coefficients dividing their frequencies , the larger values are reserved while the smaller ones are discarded , which can effectively restrain high frequency coefficients as well as avoid the drawbacks of former wavelet methods based on empirical risk , minimization ( erm ) which depend on choosing mother function excessively 通过对小波变换多尺度分解后的系数与频率相除所得的值进行排序，再根据其值的大小取舍，有效地抑制了高频小波系数，避免了传统的基于经验风险最小化理论的小波变换方法在信号处理中过于依赖小波基函数的不足，显示了基于结构风险最小化方法的合理性。
