基于提升小波滤波器的模式识别

Pattern Recognition Using Lifting Wavelet Filters

文章提出了一种基于提升小波滤波器的模式识别方法。由目标图像的高频分量的两种不同类型的提升,我们引出了一个差分方程,且该方程是包含提升滤波器的自由参数的椭圆方程逆问题的近似。因为这个离散的逆问题是病态问题,所以方程中自由参数的值可以用正则化方法和最小二乘方法来确定。模式识别可以通过将学习提升小波滤波器作用于查询图像来实现。

A method of pattern recognition using learned lifting wavelet filters is proposed. First, we derive a difference equation from two kinds of lifting high pass components of a target image. The difference equation is an approximation of an inverse problem of an elliptic equation, which includes free parameters of the lifting filter. Since this discrete inverse problem is ill--conditioned, the free parameters are learned by using the least square method and regularization method Pattern recognition is clone by applying the learned lifting filter to a query image.