= Final Project: Rendering Lily Pads = === Tom Brow, Ranjitha Kumar === == Lily Pad Models == All the lily pads and stems were modelled in Mathematica; the screen shot below shows the basic form of the equations used to model both the pads and the stems. The intuition used to create the models is as follows: * {x(u,v,) = cos(u), y(u,v) = sin(u), z(u, v) = C} creates a circle in the z(u, v) = C plane. * To create a circle with frills on the outer edge, and varying frequency cosine terms to x(u, v) and varying frequency sine terms to y(u, v). * Varying u from 0 to a value less than 2*Pi, results in an incomplete circle. To make the circle pucker inwards like a cardiod, multiply x(u,v) and y(u,v) by some degree of v. * The other terms in x(u,v) and y(u,v) are used to move the location of the center of the lilypad. * Finally, to get it to radially curve into the center in z multiply by sin(v), or some other function of z for the desired effect. attachment:mathematica.jpg attachment:model.jpg == Subsurface Scattering == attachment:texture.jpg ||attachment:ks.jpg||||attachment:sig_a.jpg||||attachment:depth.jpg|| == References ==