Binary morphological shape-based interpolation applied to 3-D tooth reconstruction

IEEE Transactions on Medical Imaging
Adrian G BorşI Pitas

Abstract

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.

References

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Jan 1, 1995·IEEE Transactions on Medical Imaging·P N WeraheraE D Crawford
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Citations

May 3, 2014·Dento Maxillo Facial Radiology·R YanagisawaS Omachi
Oct 10, 2007·Medical Image Analysis·Julio Carballido-GamioSharmila Majumdar
Jul 18, 2008·IEEE Transactions on Bio-medical Engineering·Alexandra Branzan AlbuDenis Laurendeau
Apr 1, 2003·IEEE Transactions on Bio-medical Engineering·David H FrakesAjit P Yoganathan
Jun 7, 2007·Brain Research·Seth S Horowitz, Andrea Megela Simmons

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