利用移动最小二乘法实现图像变形

将移动最小二乘方法用于实现图像的变形操作，提出了一种基于控制曲线集的移动最小二乘图像变形方法。根据图像的形状拓扑关系或轮廓信息设置点，生成控制曲线，移动控制曲线的方向和位置使图像产生变形，生成图像的仿射变换、相似变换和刚性变换。实验表明，该方法可以使图像产生平滑、真实的变形，获得满意的效果。

Study on image deformation based on moving least squares

Using moving least squares, an image deformation method was proposed based on control curves. Firstly, control curves were created by setting key points according to shape information or topology relationship, and were moved to new positions. Then affine, similar and rigid transformations were computed to realize various image deformations using Moving Least Squares. Experiments show that image shape and outline information can be realized by this method and the deformation result is satisfactory and realistic.