Define an algorithm for filling an annulus with a nonlinear colour gradient. Assume that two colours at 0° and 180° are specified and the interpolation between these two colours shall take place along...

Define an algorithm for filling an annulus with a nonlinear colour

gradient. Assume that two colours at 0° and 180° are specified and the interpolation

between these two colours shall take place along the arc of the circle. Use polar

coordinates to describe the points in the annulus. Implement your algorithm for this

colour interpolation technique in Java 2D.