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

A.G. Bors; L. Kechagias; I. Pitas

doi:10.1109/42.993129

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

A.G. Bors, L. Kechagias, I. Pitas

Computer Science

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	100-108
Number of pages	8
Journal	IEEE Transactions on Medical Imaging
Volume	21
Issue number	2
DOIs	https://doi.org/10.1109/42.993129
Publication status	Published - Feb 2002

Bibliographical note

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

Access to Document

10.1109/42.993129

borsag5.pdf

http://dx.doi.org/10.1109/42.993129

Cite this

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title = "Binary morphological shape-based interpolation applied to 3-D tooth reconstruction",

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.",

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AU - Bors, A.G.

AU - Kechagias, L.

AU - Pitas, I.

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AB - 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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KW - mathematical morphology

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U2 - 10.1109/42.993129

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