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基于B样条的函数型数据表示与配准
Functional Data Representation and Registration Based on B-spline
【摘要】 针对函数型数据配准问题,首先利用B样条函数来近似表示,并将扭曲函数也限定为于B样条函数空间内.进而将函数型数据配准问题转换为B样条函数升阶后比较控制顶点的问题,可降低计算复杂度.数值实验验证了该方法的有效性.
【Abstract】 Curve registration is an important research topic in functional data analysis. B-splines are used to approximate the functional data. At the same time, B-spline function are also chosen as the warping functions. Hence, the registration of functional data is achieved based on the elevation of B-splines, which is computational efficiently. Numerical experiments show the correctness of our method.
【关键词】 函数型数据;
B样条;
曲线配准;
升阶;
【Key words】 functional data; B-spline; curve registration; degree elevation;
【Key words】 functional data; B-spline; curve registration; degree elevation;
【基金】 国家自然科学基金项目(61772167);国家级大学生创新创业计划资助项目(201910359070)
- 【文献出处】 大学数学 ,College Mathematics , 编辑部邮箱 ,2021年03期
- 【分类号】O241.5
- 【被引频次】1
- 【下载频次】243