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Inverse scattering for vowel articulation with frequency-domain data
Mathematical Physics · Submitted 1 Oct 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In case of nonuniqueness, it is indicated what additional information may be used for the unique determination.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
An inverse scattering problem is analyzed for vowel articulation in the human vocal tract. When a unit amplitude, monochromatic, sinusoidal volume velocity is sent from the glottis towards the lips, various types of scattering data are used to examine whether the cross sectional area of the vocal tract can uniquely be determined by each data set. Among the data sets considered are the absolute value of the pressure measured at a microphone placed at some distance from the lips, the pressure at the lips, and the transfer function from the glottis to the lips. In case of nonuniqueness, it is indicated what additional information may be used for the unique determination.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | An inverse scattering problem is analyzed for vowel articulation in the human vocal tract. | contribution 0.75 | 0.67 | 0.05 | asserted 0.95 |
| s1 | When a unit amplitude, monochromatic, sinusoidal volume velocity is sent from the glottis towards the lips, various types of scattering data are used to examine whether the cross sectional area of the vocal tract can uniquely be determined by each data set. | method 0.76 | 0.66 | 0.09 | asserted 0.66 |
| s2 | Among the data sets considered are the absolute value of the pressure measured at a microphone placed at some distance from the lips, the pressure at the lips, and the transfer function from the glottis to the lips. | method 0.98 | 0.51 | 0.04 | asserted 0.92 |
| s3 | In case of nonuniqueness, it is indicated what additional information may be used for the unique determination. | result 0.45 | 0.73 | 0.13 | hedged possibility 0.91 |
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The paper
Original abstract
An inverse scattering problem is analyzed for vowel articulation in the human vocal tract. When a unit amplitude, monochromatic, sinusoidal volume velocity is sent from the glottis towards the lips, various types of scattering data are used to examine whether the cross sectional area of the vocal tract can uniquely be determined by each data set. Among the data sets considered are the absolute value of the pressure measured at a microphone placed at some distance from the lips, the pressure at the lips, and the transfer function from the glottis to the lips. In case of nonuniqueness, it is indicated what additional information may be used for the unique determination.
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