基于B-样条插值的分数阶模板的应用

Application of Fractional Template Based on B-spline Interpolation

数字图像的增强以及边缘检测是数字图像处理中的重要内容。根据B-样条函数插值公式,对图像灰度点像素值进行三次B-样条插值运算,提出了基于三次B-样条插值的分数阶增强模板以及分数阶CRONE边缘检测模板。通过对比实验表明,所设计的模板能根据对图像的需求而改变阶次,在图像增强方面能较好地提升图像边缘并且加强纹理细节,在边缘检测方面有良好的边缘定位能力,优于基于Sobel算子的传统方法。

The digital image enhancement and edge detection is an important part in digital image processing. According to the B-spline function interpolation formula, the cubic B-spline interpolation is used to calculate the gray of pixels of the image, then the fractional order enhancement template and the fractional order CRONE detection template based on the cubic B-spline interpolation are proposed. The experiments show that the designed templates could implement order change on the needs of the image. In image enhancement, the designed templates could fairly enhance the iamge edge and texture detail. In edge detection, the designed templates have a good ability in edge positioning and are better than the traditional methods based on Sobel operator.