The paper briefs the NURBS surface’s expression and the practical application in surface fitting of hypoid gear tooth flank

and tries to analyze some factors that might influence fitting accuracy when the tooth flank is restructured through NURBS means

for instance

the selection of the data points

the number of the data points

the calculation of node vector and the choice of boundary condition

etc. In the end

the method of figuring out tooth flank error of fitting is discussed.