欢迎访问《图学学报》 分享到：
图学学报

图学学报

• 图形学与可视化 • 上一篇    下一篇

一类三焦点曲线

  

  1. 西北工业大学机电学院，陕西 西安 710072
  • 出版日期:2016-08-31 发布日期:2016-08-09

A Kind of Trifocal Points Curve

  1. School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an Shaanxi 710072, China
  • Online:2016-08-31 Published:2016-08-09
  • Supported by:
    国家自然科学基金青年基金项目(51105310)；陕西省自然科学基础研究计划项目(2016JM6054)；浙江大学CAD&CG 国家重点实验室开放
    课题项目(A1615)；西北工业大学研究生创意创新种子基金项目(Z2016082)

PDF (PC)

223

摘要： 针对三焦点曲线进行研究。首先提出一类三焦点曲线的概念和数学表达式，对该类
三焦点曲线表达式的性质进行分析。其次，通过变化三焦点曲线参数，用计算机编程方法对三焦
点曲线进行定量化分析和形状分析，分析和总结得到了曲线性质和规律。最后，通过对实际物体
图像进行处理、提取边缘、曲线拟合等图像处理方法获得物体图像的三焦点曲线表示，并对实验
结果进行了误差分析。实验结果表明三焦点曲线能够精确表示某些自然物体图像的轮廓。

关键词: 三焦点曲线, 自然物体, 图像处理, 曲线拟合, 误差分析

Abstract: A kind of trifocal points curve is mainly researched. Firstly, the concept and formula of this
kind of trifocal points curve is presented, and the properties of the trifocal points curve are also
analyzed. Secondly, quantitative and shape analysis is made on the trifocal points curve by turning its
parameters, and the programming method is used to realize the shape analysis of the trifocal points
curve. The properties and rules of the trifocal points curve are analyzed and summarized. Finally, the
parameters of the trifocal points curve are calculated by using of the image processing and fitting
method which is the contours of images of some objects. Moreover, the error analysis is given and the
fitting curve is described. The experiment results show that the trifocal points curve can be the precise
representation of the contours of the images of some natural objects.

Key words: trifocal points curve, natural object, image processing, curve fitting, error analysis