Please write codes in C++ or show Mathematica appendum. use any name, preferably with 6 letters.

Write your first or last name (at least three letters) on a piece of graphing paper. Use "continuous" cursive in which the pen never leaves the paper. You may find it useful to magnify the original, using a Xerox machine or a scanner. Place knots (for interpolation) on the name trace, at least five per letter. Read off (x, y) coordinates of the knots, and use them to prepare a natural cubic spline (parametric) approximation of your name. You can use Mathematica, a library routine, or your own code, if you like. Compare the result with the original on the same scale. Did you have enough knots? May need to add a few more to make the interpolation visually close to the original. Present both the original and your best interpolation in the report. What compression ratio of the input data have you achieved? Assume that the "input" is a high-quality JPEG image of your signature, image size 1"times 2" or so, and for the "compressed" data you need enough memory to store all of the coefficients of the polynomials in the spline function you have just constructed. Write your first or last name (at least three letters) on a piece of graphing paper. Use "continuous" cursive in which the pen never leaves the paper. You may find it useful to magnify the original, using a Xerox machine or a scanner. Place knots (for interpolation) on the name trace, at least five per letter. Read off (x, y) coordinates of the knots, and use them to prepare a natural cubic spline (parametric) approximation of your name. You can use Mathematica, a library routine, or your own code, if you like. Compare the result with the original on the same scale. Did you have enough knots? May need to add a few more to make the interpolation visually close to the original. Present both the original and your best interpolation in the report. What compression ratio of the input data have you achieved? Assume that the "input" is a high-quality JPEG image of your signature, image size 1"times 2" or so, and for the "compressed" data you need enough memory to store all of the coefficients of the polynomials in the spline function you have just constructed