基于径向Hermite基函数的散乱数据隐式拟合

Implicit Fitting of Scattered Data Using Radial Hermite Basis Functions

提出一种新方法拟合给定的散乱数据点集,该方法只需利用散乱数据点的法矢信息,而无需求解方程组,且不需要额外的内、外部约束点.对于给定的三维散乱数据点和相应的法向量,新方法可以产生一个隐式函数,其零水平集插值给定散乱数据点和相应的法向量.

The present paper presents a new method for fitting given scattered data set.The new method does require neither the solution of linear systems of equations nor additional interior and exterior points,only requires normal vectors.Given 3D scattered data and associated normal vectors,the new method produces an implicit volume model whose zero level isosurface interpolates the given points and associated normal vectors.