Disclosed herein is a technique for computing a complex gradient using multiple conics. In connection with a computer system having a graphics processing unit (GPU) in addition to the normal central processing unit (CPU), gradients can be computed in real time. The conics may be rendered and adjusted in a number of ways, providing a rich palette for creation of gradient graphics. The computational efficiency of the algorithms disclosed herein, when executed on typical GPU hardware, allows rendering frame rates high enough to provide animated gradient images.