Morrish K A, Stone M, Sonies B C, Kurtz D, Shawker T
Ultrason Imaging. 1984 Jan;6(1):37-47. doi: 10.1177/016173468400600104.
Mathematical techniques are described for analyzing tongue shapes obtained with ultrasound images. The surface of the mid-sagittal section of the tongue was approximated by discrete points. In turn, these points were used to approximate position, slope and curvature of the tongue surface at a fixed time during speech. Two approaches were employed. The first method involved the use of finite difference approximations to derivatives of the function of tongue position. The second utilized a curve fit. Both methods were examined for reliability. Results of these analyses on a simple, single speech sound are discussed.
描述了用于分析通过超声图像获得的舌形的数学技术。舌的正中矢状面的表面由离散点近似表示。相应地，这些点被用来近似语音过程中固定时刻舌表面的位置、斜率和曲率。采用了两种方法。第一种方法涉及使用有限差分近似来计算舌位置函数的导数。第二种方法利用曲线拟合。对这两种方法的可靠性都进行了检验。讨论了对一个简单的单语音音素进行这些分析的结果。
