Exploring Curves.
In the following examples, I showcase my journey in implementing curves. I started with calculating coefficients that affect the shape of a polynomial graph, then interpolated polynomials with the Newton form and interpolated cublic splines. Finally, I added a dimension to my interpolated cublic spline demonstration.
Using DeCasteljau Algorithm and Bernstein Polynomials to calculate coefficients -- both methods give the same visual result
Interpolating cubic splines to find a unique curve that passes through all points
Interpolating cublic splines in three dimensions