【摘要】 将纯二维lazy小波与全相位反余弦(APIDCT)理论相结合,构造了一种新的纯二维全相位IDCT小波滤波器组,其提升格式以嵌套组合的形式实现图像的纯二维小波分解.这种新的小波滤波器组有效地避免了以往图像纯二维小波分解高频子带坐标左移的现象,图像数据左上角行列坐标可以是奇数和偶数的任意组合,图像数据的行数或列数可以为奇数或偶数,能实现最低频子带数据最小尺寸为一行或一列.本文给出了纯二维全相位IDCT小波变换规程,便于编程实现和图像压缩、模式识别等应用.更多还原

【Abstract】 A new true two-dimensional all phase IDCT filter banks is constructed by associating true two-dimensional lazy wavelet decomposition with all phase inverse cosine(APIDCT) theory.The uplifting scheme of image true 2-D decomposition achieves in the form of nested combination.This new wavelet filter banks avoid coordinate left moving phenomenon of high-frequency sub-band after the previous image true 2-D decomposition effectively,besides,the row and column coordinate of the upper left corner of the image data can be any combination of odd and even,and the image row or column length can be odd or even.It can decompose the lowest frequency sub-band to the minimum size of one row or one column.To the benefit of programming implementation,image compression,and pattern recognition application and so on,the transform procedure of true 2-D APIDCT wavelet is given.更多还原