Piecewise Quadratic Bzier Splines (3+3 Extra Points a. Given are three points a, b, cER2.Construct a closed, piecewise quadratic and c1-continuous Bzier spline s : 0, 31 R2 with junctions at the parameter values 0, 1, and 2, such that these conditions hold: s(0) a, s(1) = bs(2) = c. Give a geometric description for the construction of the Bzier control points and show that there is a unique solution for this problem! 3 Extra Points) b. Show that, in contrast to a), for the similar problem of four points a,b,c,deR2, no general solution exists! Formulate the constraints for such a solution to exist! (3 Extra Points) Piecewise Quadratic Bzier Splines (3+3 Extra Points a. Given are three points a, b, cER2.Construct a closed, piecewise quadratic and c1-continuous Bzier spline s : 0, 31 R2 with junctions at the parameter values 0, 1, and 2, such that these conditions hold: s(0) a, s(1) = bs(2) = c. Give a geometric description for the construction of the Bzier control points and show that there is a unique solution for this problem! 3 Extra Points) b. Show that, in contrast to a), for the similar problem of four points a,b,c,deR2, no general solution exists! Formulate the constraints for such a solution to exist! (3 Extra Points)