Sandy D. Balkin, Elizabeth L. Golebiewski, and Clifford A. Reiter, Rasterization of Elliptic Curves, Computers & Graphics, 18 6 (1994) 837-843.
An algorithm for automatically rasterizing an implicitly defined curve that is based on following sign chnges and which avoids gradient computations is defined. The algorithm is used to visualize families of elliptic curves.
See also:
· Richard E. Chandler, A tracking algorithm for implicitly defined curves, IEEE Computer Graphics and Applications, 8 2 (1988) 83-89.
· F. Rubin, Generation of nonparametric curves, IEEE Transactions on Graphics, VC-25 (1976) 103.