基于多进制小波变换的图象放大方法

多进制小波是近几年发展的小波分析理论的一个新分支 .为了更好地进行图象的放大 ,提出了一个基于多进制小波变换的图象放大方法 ,并用三进制小波变换进行了图象的放大试验 ,通过与常用的插值放大方法进行比较的结果表明 ,基于多进制小波放大的图象能较好地保持原来图象的特征 ,优于一般的插值放大方法||Multi band wavelet is a newly developed branch of wavelet analysis and is superior to 2 band wavelet in terms of symmetry, compact support and smoothness. There have been many studies on multi band wavelet’s theory and applications in the recent years. In this paper, based on multi band wavelet transformation and interpolation theory, a new approach to magnify images is introduced. Firstly, we analyze the lack of the methods for the image magnification by general methods such as 2 band wavelet method and linear interpolation. Then we discuss the basic theory and analyze the transformation properties of multi band wavelet. Next, we study the image magnification methods by the double linear interpolation and the weight parabola interpolation. Further, we propose an approach that magnifies an image based on multi band wavelet transformation and interpolation theory. Especially the three band wavelet transformation is implemented to magnify real remotely sensing image. Furthermore, the magnification results by multi band wavelet are compared with other results based on commonly used interpolation magnification methods. Finally, the magnification images are evaluated quantitatively by mean gradient. The theory and experiments show that magnification images by multi band wavelet can retain the characteristics of original images very well and are superior to the magnified images by other commonly used interpolation methods.