Given the following Data Points

2 2

4 3

6 6

8 5

10 1

B-splines

a) Using a pseudo-inverse, find the best fit quadratic B-spline curve for the data points, with an open uniform knot vector.

b) Repeat the process for a cubic B-spline curve with an open uniform knot vector.

c) Create a pair of quadratic B-splines that interpolate the data set while maintaining slope continuity at (5,6).