ECP $2.$ Spline you name

Write your name initial in cursive on graph paper $($you$\text{'}$ll need to write it rather large$).$ Select as

many points as you wish in the letter that best "define" the letter $($letters with extra strokes, t$,$ i$,$ j

and $x,$ require extra care$).$ Write down, in order, the $x$ and $y$ coordinates of each of the points.

Created a user$-$defined, generalized cubic$-$spline interpolation function to reconstruct your name

from the measured coordinates. The generalized function must:

Handle any number of data points

Apply the cubic$-$spline interpolation

Have the interface: $[$y$\_$target, C$]=$ MyCubicSpline $($x$,$ y$,$ x$\_$target$)$

where:

$x$ : $x$ coordinate for all points

$y$ : $y$ coordinate for all points

$x$ target: $x$ coordinate for a specific coordinate between $x$ minimum and $x$

maximum

y$\_$target. $y$ corresponding to $x\_$target calculated using the appropriate polynomial

from the cubic$-$spline interpolation

C: array of all the coefficients of the interpolating polynomials.

Create a plot of the reconstruction.

Find the interpolating cubic spline polynomials

Evaluate the polynomials for other points

Plot the resulting $(x,y$ curve

If you prefer using a different letter, please feel free to do so$.$