We examine some computational problems related to the finishing of axi
symmetric optical surfaces discussed in a paper by N. J. Brown [Opt. E
ng. 17, 602-620 (1978)]. In the spirit of Brown's paper we develop sol
ution algorithms that are suitable for implementation on today's perso
nal computers. The use of the algorithms is illustrated by some sample
calculations. (C) 1996 Optical Society of America