基于变分和小波变换的图像放大算法

为了更好地放大图像,利用小波变换的思想,提出了一种变分和小波变换相结合的图像放大算法.该算法的思想是先构造一个用Besov范数估计图像正则性的变分泛函,然后在小波域中最小化变分泛函得到放大图像.小波变换后的高频分量具有丰富的细节边缘信息,因而能够重构出高质量的图像,而且小波的引入使得文中新算法具有运行时间短、速度快的特点.与传统的插值放大图像不同,该算法是用变分的思想进行图像放大.理论分析和实验仿真表明,该算法能达到和样条插值同样的放大效果.

Combining Variation and Wavelet Transform for Image Zooming

To improve the image resolution,a new algorithm for image zooming combining variation and wavelet transform is proposed.The zoomed image is found by minimizing the variational functional in the wavelet domain which uses the Besov norm to measure the regularity of the image.Because the high-frequency subband of the wavelet transform keeps most details,the image is reconstructed with high quality.The new algorithm has the advantage of high velocity with the use of wavelet transform.Unlike the traditional image zooming by interpolation,the variation model is incorporated in the new zooming algorithm.Both theoretical analysis and experimental results have verified that the algorithm can achieve the same effect as the interpolation by using spline.