吉林大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (2): 437-441.doi: 10.13229/j.cnki.jdxbgxb201502015

• Orignal Article • Previous Articles     Next Articles

Curve fitting method for closed discrete points

GU Tian-qi, ZHANG Lei, JI Shi-jun, TAN Xiao-dan, HU Ming   

  1. College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China
  • Received:2013-09-10 Online:2015-04-01 Published:2015-04-01

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Abstract: A new curve fitting method based on moving least square is constructed for closed discrete points. According to the moving least square theory, the fitting point is obtained between discrete points and the influence domain with defined radius is determined in order. Considering the geometric features of discrete points, a new approach to determine the weights of neighbor points is proposed for the local approximants by constructing a point associated with the chord length, which makes the weights of neighboring points vary decreasingly. The discrete points of blade-section profile are fitted and the results confirm and validate the proposed fitting method.

Key words: mechanical engineering, moving least square, curve fitting, closed discrete points, blade

CLC Number: 

  • TP391
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