A Range-Finder-Based Displacement Meter for Measuring Tooth Mobility in 6 Degrees of Freedom: Measurement Principle and Error Propagation Analysis

Toyohiko HAYASHI; Kazuyuki KAZAMA; Takahiro ABE; Michio MIYAKAWA

A Range-Finder-Based Displacement Meter for Measuring Tooth Mobility in 6 Degrees of Freedom: Measurement Principle and Error Propagation Analysis

Toyohiko HAYASHI, Kazuyuki KAZAMA, Takahiro ABE, Michio MIYAKAWA

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Efforts have been cumulated to measure tooth mobility, in order to accurately characterize the mechanical features of periodontal tissues. This paper provides a totally new technique for accomplishing the task of measuring tooth displacement in 6 degrees of freedom, using a range finder. Its intraoral equipment comprises two elements, a moving polyhedron and a referential device, both of which are secured to a subject tooth and several other teeth splinted together. The polyhedron has 6 planar surfaces, each oriented in a distinctly different direction, with each plane facing an opposing range finder mounted on the referential part. If the sensor geometry is provided, the position and orientation of the movable part, vis-a-vis the reference, can be determined theoretically from the distances between all the range finders and their opposing surfaces. This computation was mathematically formulated as a non-linear optimization problem, the numerical solution of which can be obtained iteratively. Its error-propagation formula was also provided as a linear approximation.

Publication: IEICE TRANSACTIONS on Information Vol.E80-D No.8 pp.808-816

Publication Date: 1997/08/25

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Category: Medical Electronics and Medical Information

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Toyohiko HAYASHI, Kazuyuki KAZAMA, Takahiro ABE, Michio MIYAKAWA, "A Range-Finder-Based Displacement Meter for Measuring Tooth Mobility in 6 Degrees of Freedom: Measurement Principle and Error Propagation Analysis" in IEICE TRANSACTIONS on Information, vol. E80-D, no. 8, pp. 808-816, August 1997, doi: .
Abstract: Efforts have been cumulated to measure tooth mobility, in order to accurately characterize the mechanical features of periodontal tissues. This paper provides a totally new technique for accomplishing the task of measuring tooth displacement in 6 degrees of freedom, using a range finder. Its intraoral equipment comprises two elements, a moving polyhedron and a referential device, both of which are secured to a subject tooth and several other teeth splinted together. The polyhedron has 6 planar surfaces, each oriented in a distinctly different direction, with each plane facing an opposing range finder mounted on the referential part. If the sensor geometry is provided, the position and orientation of the movable part, vis-a-vis the reference, can be determined theoretically from the distances between all the range finders and their opposing surfaces. This computation was mathematically formulated as a non-linear optimization problem, the numerical solution of which can be obtained iteratively. Its error-propagation formula was also provided as a linear approximation.
URL: https://globals.ieice.org/en_transactions/information/10.1587/e80-d_8_808/_p

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@ARTICLE{e80-d_8_808,
author={Toyohiko HAYASHI, Kazuyuki KAZAMA, Takahiro ABE, Michio MIYAKAWA, },
journal={IEICE TRANSACTIONS on Information},
title={A Range-Finder-Based Displacement Meter for Measuring Tooth Mobility in 6 Degrees of Freedom: Measurement Principle and Error Propagation Analysis},
year={1997},
volume={E80-D},
number={8},
pages={808-816},
abstract={Efforts have been cumulated to measure tooth mobility, in order to accurately characterize the mechanical features of periodontal tissues. This paper provides a totally new technique for accomplishing the task of measuring tooth displacement in 6 degrees of freedom, using a range finder. Its intraoral equipment comprises two elements, a moving polyhedron and a referential device, both of which are secured to a subject tooth and several other teeth splinted together. The polyhedron has 6 planar surfaces, each oriented in a distinctly different direction, with each plane facing an opposing range finder mounted on the referential part. If the sensor geometry is provided, the position and orientation of the movable part, vis-a-vis the reference, can be determined theoretically from the distances between all the range finders and their opposing surfaces. This computation was mathematically formulated as a non-linear optimization problem, the numerical solution of which can be obtained iteratively. Its error-propagation formula was also provided as a linear approximation.},
keywords={},
doi={},
ISSN={},
month={August},}

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TY - JOUR
TI - A Range-Finder-Based Displacement Meter for Measuring Tooth Mobility in 6 Degrees of Freedom: Measurement Principle and Error Propagation Analysis
T2 - IEICE TRANSACTIONS on Information
SP - 808
EP - 816
AU - Toyohiko HAYASHI
AU - Kazuyuki KAZAMA
AU - Takahiro ABE
AU - Michio MIYAKAWA
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E80-D
IS - 8
JA - IEICE TRANSACTIONS on Information
Y1 - August 1997
AB - Efforts have been cumulated to measure tooth mobility, in order to accurately characterize the mechanical features of periodontal tissues. This paper provides a totally new technique for accomplishing the task of measuring tooth displacement in 6 degrees of freedom, using a range finder. Its intraoral equipment comprises two elements, a moving polyhedron and a referential device, both of which are secured to a subject tooth and several other teeth splinted together. The polyhedron has 6 planar surfaces, each oriented in a distinctly different direction, with each plane facing an opposing range finder mounted on the referential part. If the sensor geometry is provided, the position and orientation of the movable part, vis-a-vis the reference, can be determined theoretically from the distances between all the range finders and their opposing surfaces. This computation was mathematically formulated as a non-linear optimization problem, the numerical solution of which can be obtained iteratively. Its error-propagation formula was also provided as a linear approximation.
ER -