CAJ | 학술논문

与单小波变换一样,多小波变换同样具有多分辨分析的特性,1次多小波变换可以将图像分解成4个低频子带和12个高频子带,而且原图像的大小是每个子带的4倍.根据多小波变换的这一特点,利用原图像与经过1次多小波变换后的各高频子带的信息,并考虑各子带的分形维数,提出了一种新颖的灰度图像插值算法.实验结果表明,与传统的插值算法相比,例如双线性插值与双三次多项式插值,该算法的插值效果较好,且克服了单小波插值中出现的斑点干扰.
여단소파변환일양,다소파변환동양구유다분변분석적특성,1차다소파변환가이장도상분해성4개저빈자대화12개고빈자대,이차원도상적대소시매개자대적4배.근거다소파변환적저일특점,이용원도상여경과1차다소파변환후적각고빈자대적신식,병고필각자대적분형유수,제출료일충신영적회도도상삽치산법.실험결과표명,여전통적삽치산법상비,례여쌍선성삽치여쌍삼차다항식삽치,해산법적삽치효과교호,차극복료단소파삽치중출현적반점간우.
Similar to the scalar wavelet transform,the multiwavelet transform also have multiresolutuion characterristics.By one level multiwavelet decomposition,the image is transformed into four low frequency bands and twelve high frequency bands,and the size of original image is four times larger than that ones in the transformed bands.With this characteristics of multiwavelet transformations,and making use of the information obtained from the original image and the high frequency bands after transformation,also taking the fractal dimensions of high frequency bands into account,the paper has proposed a novel image interpolation algorithm for grey images.The experimental results shows that the new algorithm has overcome shortcomings of the blur effects when interpolating with the scalar wavelet transform and has better results comparing with the traditional image interpolation methods such as bilinear or bicubic ones.