Borş Adrian G, Kechagias Lefteris, Pitas Ioannis
Department of Informatics, University of Thessaloniki, Greece.
IEEE Trans Med Imaging. 2002 Feb;21(2):100-8. doi: 10.1109/42.993129.
In this paper, we propose an interpolation algorithm using a mathematical morphology morphing approach. The aim of this algorithm is to reconstruct the n-dimensional object from a group of (n - 1)-dimensional sets representing sections of that object. The morphing transformation modifies pairs of consecutive sets such that they approach in shape and size. The interpolated set is achieved when the two consecutive sets are made idempotent by the morphing transformation. We prove the convergence of the morphological morphing. The entire object is modeled by successively interpolating a certain number of intermediary sets between each two consecutive given sets. We apply the interpolation algorithm for three-dimensional tooth reconstruction.
在本文中，我们提出了一种使用数学形态学变形方法的插值算法。该算法的目的是从一组表示该物体截面的（n - 1）维集合中重建n维物体。变形变换修改连续的集合对，使它们在形状和大小上相互接近。当通过变形变换使两个连续集合成为幂等集时，就得到了插值集。我们证明了形态变形的收敛性。通过在每两个连续的给定集合之间依次插入一定数量的中间集合来对整个物体进行建模。我们将该插值算法应用于三维牙齿重建。
