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Application of Cubic Spline in the Implementation of Braces for the Case of a Child | Science Publications

机译:三次样条在小儿牙套矫正中的应用科学出版物

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> Problem statement: Orthodontic teeth movement is influenced by the characteristics of the applied force, including its magnitude and direction which normally based on the shape of ellipsoid, parabolic and U-shape that are symmetry. However, this will affect the movement of the whole set of tooth. Approach: This study intends to compare the form of general teeth with another method called cubic spline to get a minimum error in presenting the general form of teeth. Cubic spline method is applied in a mathematical model of a child?s teeth, which is produced through resignation of orthodontic wires. It is also meant to create a clear view towards the true nature of orthodontic wires. Results: Based on mathematical characteristics in the spline and the real data of a teeth?s model, cubic spline shows to be very useful in reflecting the shape of a curve because the dots chosen are not totally symmetry. Conclusion/Recommendation: Therefore, symmetrical curve can be produced in teeth?s shape which is basically asymmetry.
机译: > 问题陈述:正畸牙齿的运动受所施加力的特性影响,包括其大小和方向,通常基于椭圆形,抛物线形和U形,是对称的。但是,这会影响整个牙齿的运动。 方法:本研究旨在将普通牙齿的形状与另一种称为三次样条的方法进行比较,以最小化呈现普通牙齿的误差。三次样条法应用于儿童牙齿的数学模型中,该模型是通过矫正正畸钢丝而产生的。它还旨在为正畸导线的真实性质提供清晰的视图。 结果:根据样条曲线中的数学特性和牙齿模型的真实数据,三次样条曲线在反映曲线形状方面非常有用,因为所选的点并不完全对称。 结论/建议:因此,可以在牙齿的形状中产生对称曲线,基本上是不对称的。

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