Approximate merging of B-spline curves via knot adjustment and constrained optimization

2003 ◽  
Vol 35 (10) ◽  
pp. 893-899 ◽  
Author(s):  
Chiew-Lan Tai ◽  
Shi-Min Hu ◽  
Qi-Xing Huang
Keyword(s):  
Constrained Optimization ◽  
B Spline ◽  
Spline Curves ◽  
Approximate Merging

Approximate Merging B-Spline Curves via Least Square Approximation

2014 ◽  
Vol 556-562 ◽  
pp. 3496-3500 ◽  
Author(s):  
Si Hui Shu ◽  
Zi Zhi Lin
Keyword(s):  
Approximation Error ◽  
Least Square ◽  
Error Tolerance ◽  
Knot Insertion ◽  
Least Squares Approximation ◽  
B Spline ◽  
Spline Curve ◽  
Spline Curves ◽  
Insertion Algorithm ◽  
Approximate Merging

An algorithm of B-spline curve approximate merging of two adjacent B-spline curves is presented in this paper. In this algorithm, the approximation error between two curves is computed using norm which is known as best least square approximation. We develop a method based on weighed and constrained least squares approximation, which adds a weight function in object function to reduce error of merging. The knot insertion algorithm is also developed to meet the error tolerance.

scholarly journals Conditions for regular $B$-spline curves and surfaces

1992 ◽  
Vol 26 (1) ◽  
pp. 177-190 ◽  
Author(s):  
N. Dyn ◽  
D. Levin ◽  
I. Yad-Shalom
Keyword(s):  
B Spline ◽  
Curves And Surfaces ◽  
Spline Curves
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