Shape-based interpolation using morphological morphing

TL;DR: An interpolation algorithm using a morphological morphing approach to reconstruct an n-dimensional object from a group of (n-1)-dimensional sets representing object sections by successively interpolating a certain number of intermediary sets between each two consecutive initial sets.

Abstract: We propose an interpolation algorithm using a morphological morphing approach. The aim of this algorithm is to reconstruct an n-dimensional object from a group of (n-1)-dimensional sets representing object sections. The morphing transformation modifies consecutive sets so that they approach in shape and size. When the two morphed sets become idempotent we generate a new set. The entire object is modeled by successively interpolating a certain number of intermediary sets between each two consecutive initial sets. The interpolation algorithm is used for 3D tooth reconstruction.