【摘要】 Catmull-Rom样条函数具有C1连续性质与快速插值能力,其每一个节点的导数值都是由其相邻的2个节点确定。文中通过相邻4个节点确定样条上各节点的导数值,由此重新构造了Catmull-Rom样条以进一步减少插值误差。实验结果表明,将这种改进的Catmull-Rom样条用于图像的缩放处理,插值误差明显减少,插值效率高,适用于对图像缩放的质量与速度都有较高要求的场合。更多还原

【Abstract】 Catmull-Rom spline function has efficient interpolating ability and C1 continuity,and its derivative at each point is defined by the previous and next point.To further reduce the interpolation errors,use the values at the 4 neighboring points to define the first derivative,and rebuild a new kind of Catmull-Rom spline.The experiment results show that the image zooming based on the improved Catmull-Rom spline has much less interpolation errors and only a little increase in processing time,and may be used on those occasions where the high quality and high efficiency of image zooming are both required.更多还原