基于极大圆盘引导的形状插值实现三维表面重建

针对传统的基于形状插值方法进行插值重建的不足,提出了将基于极大圆盘引导的形状插值方法应用于三维表面重建。插值重建过程中选用具有较好效果的Chamfer算法进行距离变换,然后遍历所得到的距离图像上的所有像素点得极大圆盘集,将圆盘集进行去冗余和投影算法处理后获取最终用来插值的圆盘集,根据优化后的质心公式由圆盘集确定最终的插值方向,最后由插值结束后各点处的距离值完成三维表面重建。仿真实验结果表明,该方法可以准确地实现三维表面重建。

3D surface reconstruction using the shape based interpolation guided by maximal discs

According to existing problems of traditional shape based interpolation, a novel method of 3D surface reconstruction was proposed, that innovatively uses the shape based interpolation guided by maximal discs. The method is summarized as follows: maximal discs are determined by traversing all the pixels of distance images that are obtained using the Chamfer algorithm; after redundancy removal and projection, final discs are obtained  which are used to determine the ultimate interpolation direction with an optimized centroid formula; finally 3D surface reconstruction is achieved according to the interpolated distance values of all pixels. Simulation result showed this method could accurately implement 3D surface reconstruction.