通过隐函数拟合实现曲面重建是计算机图形学领域中一项重要而有挑战性的工作.受经典物理学中极性场模型及扩展点集思想的启发,提出一种称为"场拟合"的隐曲面重建方法.该方法将三维曲面表达为极性场的零等值面,极性场由许多粒子对产生,则曲面重建过程就转化为求粒子分布的过程,使用一种贪婪算法求解粒子的分布.实验结果表明,采用文中的场拟合方法的重建结果优于已有的隐曲面重建方法.
Implicit function based surface reconstruction has been a challenging work for decades in computer graphics field. Motivated by the concept of classic physical polar field model and off-set points strategy, we present a new approach, called field fitting. In this approach, a 3D surface is expressed as an equipotential surface of scalar polar field which is produced by a number of paired field generating primitives, then a surface reconstruction process is cast as a primitive localization process, and finally, this problem is solved with a greedy algorithm. Experimental results demonstrate that the proposed method outperforms the previous by providing better surface reconstruction results.