基于模板的二维多通道形态小波的构造

基于提升方案和模板，提出一种通用方便的二维多通道形态小波构造新方法。预测步骤时，采用指定的梯度模板提取信号中的细节信息；更新步骤中用最大、最小和中值等各种形态算子来获取低频信息。为了实现非线性精确重建，给出了模板选择的必要性条件。根据该新框架构造的非线性小波在低频和细节信号上都非常符合图像处理的需要和特点。最后通过实例说明了该方法的优点和实用性。

Construction of 2D Multi-channel Morphological Wavelets Based on Templates

A general and flexible approach for constructing two-dimensional multi-channel morphological wavelets was presented,which was based on templates and lifting scheme.The gradient templates were applied to extract detail signals in predicting lifting step,and all kinds of morphological operators (max,min,median and so on) were used as update operators to update the low-pass signals.In order to guarantee nonlinear perfect reconstruction,the necessary condition of choosing templates was discussed.The wavelets constructed on this new framework were nonlinear and suitable for image processing applications.Finally,some examples were given to reveal the advantages and applicability of this new method.