中文摘要：

有效保持图像纹理细节,且使图像边缘区域不失真一直是图像插值技术的一个难题,为此提出了一种基于参数优化的有理函数图像插值算法.首先,构造一类含有可调参数的C2连续有理插值函数;其次,基于插值函数的收敛性分析,利用区域采样和点采样的映射关系,构建参数优化目标函数;最后,利用误差极小化迭代方法获取最优参数,进行图像插值.实验结果表明,该算法时间复杂度较低,且能够有效地保持图像细节信息,消除边缘锯齿现象,具有较高的插值图像质量.

英文摘要：

It is a difficult problem that maintains the image texture details and edge structure simultaneouslyin image interpolation technology. To overcome this problem, a new method of image interpolation based onparameter optimization is proposed. First, a new type of C2 continuous rational interpolation with adjustableparameters is proposed. Second, based on the convergence analysis of interpolation, objective function ofparameter optimization is constructed by using the mapping between region sampling and point sampling.Finally, optimal parameters are obtained by iterative method which aims to reduce error for image interpolation.Experimental results show that this algorithm not only has lower time complexity, but also can preserveimage details, eliminate phenomenon of edge aliasing, and have a high quality of interpolation image.