基于径向基函数的图像变形算法与系统研究

Image Deformation Algorithm and System Based on Radial Basis Function

图像变形技术可帮助用户获得新的图像,其广泛应用于计算机图形图像领域,具有重要研究价值。基于无网格法的图像变形采用线性混合的光滑基函数表示变形函数,往往具有天然光滑的性质,其中径向基函数是一种被广泛采用、性能良好的光滑基函数。研究径向基函数方法在不同参数下的变形行为,包括基函数采用的距离形式、采样中心个数与位置,以及径向基函数表示形式等。开发一个图像变形系统,用户可通过鼠标拖拽方式驱动图像变形,用户体验良好。实验结果表明,该变形效果光滑,且仅需2~6s即可完成变形和渲染。基于径向基函数的图像变形能获得光滑效果,且选择的参数将影响变形行为。

Image deformation technology is used to help users obtain new images,and is widely used in computer graphics,and it has very important research value.The image deformation algorithms based on mesh-free method that use the linear mixed smooth basis function to express the deformation function,and they often have the feature of smoothness.The radial basis function is one kind of smooth basis functions,and it is widely used and has good properties.In this paper,we research the deformation behavior of the radial basis function method under the different parameters,including the distance form of the basis function,the number and position of the sampling centers,and the expression form of the radial basis function.In addition,in order to provide users a good interactive experience,we also develop an image deformation system which let users drive the image deformation by dragging the mouse.Experiment shows that the deformation results is smooth,and it only takes 2s^6s to complete the deformation and rendering.Image deformation based on Radial Basis Function can obtain smooth deformation,and the selected parameters will affect the deformation behavior.