(a) Draw outlines of the block capital letters I, C, H, and S on a sheet of graph paper. Fix several points on the graphs and measure their x and y coordinates.
(b) Use periodic cubic splines x = u(t), y = v(t) to interpolate the coordinates of the data points using equally spaced nodes for the parameter values tk. Graph the resulting spline letters, and discuss how the method could be used in font design. To get nicer results, you may wish to experiment with different numbers and locations for the points.