首页|"基于光纤传感器的平面曲线重建算法建模"评阅综述

"基于光纤传感器的平面曲线重建算法建模"评阅综述

扫码查看
针对基于光纤传感器的平面曲线重建算法问题,首先利用波长与曲率之间的关系估算传感器位置的曲率,采用三次样条插值算法获取更多的曲率,利用斜率递推模型或者微分方程模型估计平面曲线坐标;进一步,对已知曲线先等距采样,再重构曲线方程,利用范数来评价重构算法的有效性;最后对2024年"华中杯"大学生数学建模挑战赛C题参赛论文的整体情况予以简要评述.
Review of "Modeling of Plane Curve Reconstruction Algorithm Based on Fiber Optic Sensors"
For the problem of reconstructing planar curves using algorithms based on fiber optic sensors,the curvature at the sensor's position is estimated using the relationship between wavelength and curvature.The cubic spline interpolation algorithm is used to obtain more accurate curvature values,and the slope recursive model or differential equation model is then used to estimate the coordinates of the planar curve.Furthermore,equidistant sampling is performed on the known curves before reconstructing the curve equation,and the effectiveness of the reconstruction algorithm is evaluated using the norm.Finally,the overall situation of the papers submitted by students for Problem C in the 2024 Huazhongbei Mathematical Modeling Challenge is briefly reviewed.

curve reconstructioncubic splineslope recursive

马德宜、王苗苗、田代平

展开 >

三峡大学 理学院,湖北 宜昌 443002

泰迪智能科技(武汉)有限公司,湖北 武汉 430074

曲线重构 三次样条 斜率递推

三峡大学教学改革研究项目三峡大学教学改革研究项目教育部产学合作协同育人项目

K2023015J2023052220906627013901

2024

数学建模及其应用

数学建模及其应用

影响因子:0.215
ISSN:
年,卷(期):2024.13(3)
  • 3