Measurement of Length of a Single Tooth Using PCA-Signature and Bezier Curve

Pramual CHOORAT; Werapon CHIRACHARIT; Kosin CHAMNONGTHAI; Takao ONOYE

doi:10.1587/transfun.E97.A.2161

Measurement of Length of a Single Tooth Using PCA-Signature and Bezier Curve

Pramual CHOORAT, Werapon CHIRACHARIT, Kosin CHAMNONGTHAI, Takao ONOYE

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In developing an automatic system of a single tooth length measurement on x-ray image, since a tooth shape is assumed to be straight and curve, an algorithm which can accurately deal with straight and curve is required. This paper proposes an automatic algorithm for measuring the length of single straight and curve teeth. In the algorithm consisting of control point determination, curve fitting, and length measurement, PCA is employed to find the first and second principle axes as vertical and horizontal ones of the tooth, and two terminal points of vertical axis and the junction of those axes are determined as three first-order control points. Signature is then used to find a peak representing tooth root apex as the forth control point. Bezier curve, Euclidean distance, and perspective transform are finally applied with determined four control points in curve fitting and tooth length measurement. In the experiment, comparing with the conventional PCA-based method, the average mean square error (MSE) of the line points plotted by the expert is reduced from 7.548 pixels to 4.714 pixels for tooth image type-I, whereas the average MSE value is reduced from 7.713 pixels and 7.877 pixels to 4.809 pixels and 5.253 pixels for left side and right side of tooth image type-H, respectively.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.11 pp.2161-2169

Publication Date: 2014/11/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E97.A.2161

Type of Manuscript: Special Section PAPER (Special Section on Smart Multimedia & Communication Systems)

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Authors

Pramual CHOORAT
  King Mongkut's University of Technology Thonburi
Werapon CHIRACHARIT
  King Mongkut's University of Technology Thonburi
Kosin CHAMNONGTHAI
  King Mongkut's University of Technology Thonburi
Takao ONOYE
  Graduate School of Information Science and Technology, Osaka University

Keyword

dental x-ray image, principle component analysis, signature, smoothing filter, peak detection, bezier curve, tooth root length

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Pramual CHOORAT, Werapon CHIRACHARIT, Kosin CHAMNONGTHAI, Takao ONOYE, "Measurement of Length of a Single Tooth Using PCA-Signature and Bezier Curve" in IEICE TRANSACTIONS on Fundamentals, vol. E97-A, no. 11, pp. 2161-2169, November 2014, doi: 10.1587/transfun.E97.A.2161.
Abstract: In developing an automatic system of a single tooth length measurement on x-ray image, since a tooth shape is assumed to be straight and curve, an algorithm which can accurately deal with straight and curve is required. This paper proposes an automatic algorithm for measuring the length of single straight and curve teeth. In the algorithm consisting of control point determination, curve fitting, and length measurement, PCA is employed to find the first and second principle axes as vertical and horizontal ones of the tooth, and two terminal points of vertical axis and the junction of those axes are determined as three first-order control points. Signature is then used to find a peak representing tooth root apex as the forth control point. Bezier curve, Euclidean distance, and perspective transform are finally applied with determined four control points in curve fitting and tooth length measurement. In the experiment, comparing with the conventional PCA-based method, the average mean square error (MSE) of the line points plotted by the expert is reduced from 7.548 pixels to 4.714 pixels for tooth image type-I, whereas the average MSE value is reduced from 7.713 pixels and 7.877 pixels to 4.809 pixels and 5.253 pixels for left side and right side of tooth image type-H, respectively.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.2161/_p

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@ARTICLE{e97-a_11_2161,
author={Pramual CHOORAT, Werapon CHIRACHARIT, Kosin CHAMNONGTHAI, Takao ONOYE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Measurement of Length of a Single Tooth Using PCA-Signature and Bezier Curve},
year={2014},
volume={E97-A},
number={11},
pages={2161-2169},
abstract={In developing an automatic system of a single tooth length measurement on x-ray image, since a tooth shape is assumed to be straight and curve, an algorithm which can accurately deal with straight and curve is required. This paper proposes an automatic algorithm for measuring the length of single straight and curve teeth. In the algorithm consisting of control point determination, curve fitting, and length measurement, PCA is employed to find the first and second principle axes as vertical and horizontal ones of the tooth, and two terminal points of vertical axis and the junction of those axes are determined as three first-order control points. Signature is then used to find a peak representing tooth root apex as the forth control point. Bezier curve, Euclidean distance, and perspective transform are finally applied with determined four control points in curve fitting and tooth length measurement. In the experiment, comparing with the conventional PCA-based method, the average mean square error (MSE) of the line points plotted by the expert is reduced from 7.548 pixels to 4.714 pixels for tooth image type-I, whereas the average MSE value is reduced from 7.713 pixels and 7.877 pixels to 4.809 pixels and 5.253 pixels for left side and right side of tooth image type-H, respectively.},
keywords={},
doi={10.1587/transfun.E97.A.2161},
ISSN={1745-1337},
month={November},}

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TY - JOUR
TI - Measurement of Length of a Single Tooth Using PCA-Signature and Bezier Curve
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2161
EP - 2169
AU - Pramual CHOORAT
AU - Werapon CHIRACHARIT
AU - Kosin CHAMNONGTHAI
AU - Takao ONOYE
PY - 2014
DO - 10.1587/transfun.E97.A.2161
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2014
AB - In developing an automatic system of a single tooth length measurement on x-ray image, since a tooth shape is assumed to be straight and curve, an algorithm which can accurately deal with straight and curve is required. This paper proposes an automatic algorithm for measuring the length of single straight and curve teeth. In the algorithm consisting of control point determination, curve fitting, and length measurement, PCA is employed to find the first and second principle axes as vertical and horizontal ones of the tooth, and two terminal points of vertical axis and the junction of those axes are determined as three first-order control points. Signature is then used to find a peak representing tooth root apex as the forth control point. Bezier curve, Euclidean distance, and perspective transform are finally applied with determined four control points in curve fitting and tooth length measurement. In the experiment, comparing with the conventional PCA-based method, the average mean square error (MSE) of the line points plotted by the expert is reduced from 7.548 pixels to 4.714 pixels for tooth image type-I, whereas the average MSE value is reduced from 7.713 pixels and 7.877 pixels to 4.809 pixels and 5.253 pixels for left side and right side of tooth image type-H, respectively.
ER -