计算机工程与设计
計算機工程與設計
계산궤공정여설계
COMPUTER ENGINEERING AND DESIGN
2015年
6期
1575-1580
,共6页
图像重建%正则化%微分流形%Nambu泛函%半隐式格式
圖像重建%正則化%微分流形%Nambu汎函%半隱式格式
도상중건%정칙화%미분류형%Nambu범함%반은식격식
image reconstruction%regularization%differential manifold%Nambu functional%semi implicit scheme
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。
為設計閤適的正則化汎函併將其拓展到三維綵色圖像空間以及更高維度的信號空間，提齣一種基于Nambu汎函的綵色圖像正則化重建方法，推導齣正則化汎函的Euler‐Lagrange方程和數值計算格式。將該方法應用于高維空間的信號重建，剋服瞭各通道單獨處理時帶來的圖像邊緣色綵抖動問題。實驗結果錶明，該方法能夠取得良好的圖像重建效果。
위설계합괄적정칙화범함병장기탁전도삼유채색도상공간이급경고유도적신호공간，제출일충기우Nambu범함적채색도상정칙화중건방법，추도출정칙화범함적Euler‐Lagrange방정화수치계산격식。장해방법응용우고유공간적신호중건，극복료각통도단독처리시대래적도상변연색채두동문제。실험결과표명，해방법능구취득량호적도상중건효과。
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 .
