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基于线性加速度测量和微分几何的非惯性参考系在线手写识别方法：四元数的替代方法

Online Handwriting Recognition Method with a Non-Inertial Reference Frame Based on the Measurement of Linear Accelerations and Differential Geometry: An Alternative to Quaternions.

作者信息

Abarca Jiménez Griselda Stephany, Muñoz Garnica Carmen Caritina, Reyes Barranca Mario Alfredo, Mares Carreño Jesús, Vega Blanco Manuel Vladimir, Gutiérrez Galicia Francisco

机构信息

Unidad Profesional Interdisciplinaria de Ingeniería Campus Hidalgo (UPIIH), Instituto Politécnico Nacional (IPN), Carretera Pachuca-Actopan Kilómetro 1+500, Distrito de Educación, Salud, Ciencia, Tecnología e Innovación, San Agustín Tlaxiaca 42162, Hidalgo, Mexico.

Electrical Engineering Department, CINVESTAV IPN, Av. Instituto Politécnico Nacional 2508, Gustavo A. Madero, San Pedro Zacatenco, Mexico City 07360, Mexico.

出版信息

Micromachines (Basel). 2024 Aug 21;15(8):1053. doi: 10.3390/mi15081053.

DOI:10.3390/mi15081053
PMID:39203704
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11355947/
Abstract

This work describes a mathematical model for handwriting devices without a specific reference surface (SRS). The research was carried out on two hypotheses: the first considers possible circular segments that could be made during execution for the reconstruction of the trace, and the second is the combination of lines and circles. The proposed system has no flat reference surface, since the sensor is inside the pencil that describes the trace, not on the surface as in tablets or cell phones. An inertial sensor was used for the measurements, in this case, a commercial Micro-Electro Mechanical sensor of linear acceleration. The tracking device is an IMU sensor and a processing card that allows inertial measurements of the pen during on-the-fly tracing. It is essential to highlight that the system has a non-inertial reference frame. Comparing the two proposed models shows that it is possible to construct shapes from curved lines and that the patterns obtained are similar to what is recognized; this method provides an alternative to quaternion calculus for poorly specified orientation problems.

摘要

这项工作描述了一种用于无特定参考表面（SRS）的手写设备的数学模型。该研究基于两个假设进行：第一个假设考虑了在执行过程中可能形成的用于重建轨迹的圆弧段，第二个假设是直线和圆的组合。所提出的系统没有平坦的参考表面，因为传感器位于描绘轨迹的铅笔内部，而不像平板电脑或手机那样位于表面上。在这种情况下，使用了一个惯性传感器进行测量，即一个商业线性加速度微机电传感器。跟踪设备是一个惯性测量单元（IMU）传感器和一个处理卡，它允许在实时追踪过程中对笔进行惯性测量。必须强调的是，该系统具有一个非惯性参考系。比较所提出的两个模型表明，可以从曲线构建形状，并且获得的图案与所识别的图案相似；这种方法为解决方向问题不太明确的情况提供了一种替代四元数演算的方法。

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