为设计合适的正则化泛函并将其拓展到三维彩色图像空间以及更高维度的信号空间,提出一种基于Nambu泛函的彩色图像正则化重建方法,推导出正则化泛函的Euler‐Lagrange方程和数值计算格式。将该方法应用于高维空间的信号重建,克服了各通道单独处理时带来的图像边缘色彩抖动问题。实验结果表明,该方法能够取得良好的图像重建效果。
To design a suitable regularization model and extend it to three dimensional color space or higher dimensional signal space ,an image reconstruction method based on Nambu functional regularization model was proposed . The Euler‐Lagrange equation and numerical calculation scheme of regularization functional in detail were deduced .This method can not only be easily applied to high‐dimensional signal reconstruction ,but also overcome color image edge jitter problem effectively which caused by processing each channel individually for multiple channel color image signal .Some experimental results of image denoising ,image deblurring ,image interpolation and image super‐resolution show the proposed method achieves good effects .