Three-dimensional electromagnetic articulography

A measurement principle

研究成果: ジャーナルへの寄稿記事

24 引用 (Scopus)

抄録

A measurement principle of the three-dimensional electromagnetic articulographic device is presented. The state of the miniature receiver coil is described by five variables representing the position in the three-dimensional coordinate system and the rotation angles relative to it. When the receiver coil is placed in the magnetic field produced from the distributed transmitter coils, its state can be optimally estimated by minimizing the difference between the measured strength of the received signal and the predicted one using the known spatial pattern of the magnetic field. Therefore, the design and calibration of the field function inherently determine the accuracy in estimating the state of the receiver coil. The field function in our method is expressed in the form of a multivariate B spline as a function of position in the three-dimensional space. Because of the piecewise property of the basis function and the freedom in the selection of the rank and the number of basis functions, the spline field function has a superior ability to flexibly and accurately represent the actual magnetic field. Given a set of calibration data, the spline function is designed to form a smooth curved surface interpolating all of these data samples. Then, an iterative procedure is employed to solve the nonlinear estimation problem of the receiver state variables. Because the spline basis function is a polynomial, it is also shown that the calculation of the Jacobian or Hessian required to obtain updated quantities for the state variables can be efficiently performed. Finally, experimental results reveal that the measurement accuracy is about 0.2 mm for a preliminary condition, indicating that the method can achieve the degree of precision required for observing articulatory movements in a three-dimensional space. It is also experimentally shown that the Marquardt method is a better nonlinear programming technique than the Gauss-Newton or Newton-Raphson method for solving the receiver state problem.

元の言語英語
ページ(範囲)428-443
ページ数16
ジャーナルJournal of the Acoustical Society of America
118
発行部数1
DOI
出版物ステータス出版済み - 7 1 2005

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electromagnetism
receivers
splines
coils
magnetic fields
Newton-Raphson method
nonlinear programming
spline functions
curved surfaces
transmitters
newton
Electromagnetic
Three-dimensional
polynomials
estimating
Calibration
Hessian
Gauss
Spatial Pattern
Programming

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

これを引用

Three-dimensional electromagnetic articulography : A measurement principle. / Kaburagi, Tokihiko; Wakamiya, Kohei; Honda, Masaaki.

:: Journal of the Acoustical Society of America, 巻 118, 番号 1, 01.07.2005, p. 428-443.

研究成果: ジャーナルへの寄稿記事

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