Self-adaptive weighted Gaussian curvature filtering method based on image edge indicator function

The invention provides a self-adaptive weighted Gaussian curvature filtering method based on an image edge indicator function, which is used for improving a Gaussian curvature filtering algorithm in a curvature filtering algorithm and constructing a self-adaptive fractional order-integer order energy functional and a local weighted projection operator by adopting the edge indicator function. Iterative updating of a weighted projection operator is adaptively and accurately controlled by minimizing the energy function, and the texture details of the image are well kept while the denoising performance is improved. According to the method, the fractional order and the weight of each item in the energy functional are adjusted in a self-adaptive mode, iterative updating of a projection operator can be accurately controlled, and incomplete image denoising or excessive smoothing is effectively prevented. 本发明提供一种基于图像边缘指示函数的自适应加权高斯曲率滤波方法，对曲率滤波算法中的高斯曲率滤波算法进行改进，采用边缘指示函数构建自适应分数阶-整数阶能量泛函和局部加权投影算子，通过最小化能量泛函自适应地精确控制加权投影算子的迭代