基于Biharmonic样条插值的图像渐变算法及实现

Image Morphing Algorithm Based on Biharmonic Spline Interpolation and Its Implementation

图像变形是计算机动画的重要技术之一。本文提出一种图像变形方法,利用Biharmonic样条曲面插值实现空间映射,采用后向映射和双线性插值进行图像重采样。在图像变形基础上结合图像融合技术实现了图像渐变。该方法使用灵活,操作者可以简单地改变特征点的数量和位置以控制变形细节而无需其他操作。实验结果表明,该方法产生的过渡图像平滑、自然,每幅变形图像边界稳定且有良好的可视性。

Image warping is an important technique in the field of computer animation. This paper presented a method to implement it. In this method, surface interpolation based on Biharmonic spline was used for image spatial mapping. By using inverse mapping and bi-linear interpolation to implement image resampling and combining image＇ s cross-dissolve, we completed image morphing. Due to the flexibility of this method, animators can easily adjust the numbers or positions of feature points to control the detail of warping without other operations. Experiments show that this approach can produce fluid and natural transition image. Besides, every warped image has both stable image boundary and good visibility.