Bezier Curve Arc Length: Polynomial Approximation

[b]Numerical Quadrature[/b] Example: [i]Approximate the arc length of a Bezier curve[/i] A function explorer for selecting and arranging the interpolating polynomials. Parameters/Options: -Interpolation order -maximum spacing between points -Use critical points from the curve (local minima/maxima, inflection points) -Increase resolution near critical points -compare Lagrangian and Hermitian polynomials -examine the error at each subinterval.

 

Ryan Hirst

 
Resource Type
Activity
Tags
arc  bezier  hermite  integration  interpolation  lagrange  length  numerical  quadrature 
Target Group (Age)
14 – 18
Language
English (United States)
 
 
 
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