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

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 0278-0062

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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 3-D tooth reconstruction.

Item Type: Article
Copyright, Publisher and Additional Information: Copyright © 2002 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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
Published Version: http://dx.doi.org/10.1109/42.993129
Status: Published
Refereed: Yes
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/944

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