Bors, A.G., Kechagias, L. and Pitas, I. (2002) Binary morphological shape-based interpolation applied to 3-D tooth reconstruction. IEEE Transactions on Medical Imaging. pp. 100-108. ISSN 0278-0062Full text available as:
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 3-D tooth reconstruction.
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|Keywords:||Shape-based interpolation, mathematical morphology, morphing|
|Academic Units:||The University of York > Computer Science (York)|
|Depositing User:||Adrian G. Bors|
|Date Deposited:||20 Jan 2006|
|Last Modified:||17 Oct 2013 14:33|