2-D NONSEPARABLE SCALING FUNCTIONINTERPOLATION AND APPROXIMATION

The authors introduce nonseparable scaling function interpolation and show that its approximation can provide similar convergence properties as scalar wavelet system. Several equivalent statements of accuracy of nonseparable scaling function are also given. In the numerical experiments, it appears that nonseparable scaling function interpolation has better convergence results than scalar wavelet systems in some cases.

异或加整体逼近模2^n加差值函数的和概率分布

为求解密码算法中异或加整体逼近模2n加运算所得差值函数之和的概率分布问题,利用概率分布的定义,通过直接统计满足条件变量的计数,给出2个差值函数之和的概率分布,并进一步提出2个差值函数之和的概率平方和计算公式,将其计算复杂度由O(24n)降为O(1)。

一类基于二维线性插值函数的改进Canny算法

利用Canny算法对腰椎间盘的核磁共振(MR)图像进行边缘检测,实现了计算机辅助治疗.针对MR图像由于人体结构复杂性导致的成像后的灰度不统一的问题,在Canny算法计算检测之前,引入二维线性插值函数,实现图像灰度的统一化,并使用均值滤波函数代替传统算法中的高斯滤波函数,改进了传统的Canny算法.实验结果表明,改进后的Canny算法有效地减少了腰椎间盘MR图像中非真实边缘检出的概率.