title: Representation of freeform surfaces suitable for optimization.
abstract: To represent the freeform surface shape, the axially asymmetric quadric and a new set of the orthogonal polynomials are introduced. In this representation, surface tilt, paraxial properties, and higher order surface shape are clearly separated. With this representation, the optimization process can be simple and efficient.
authors.affiliation: Akira.yabe@t-online.de
authors.forename: Akira
authors.initials: A
authors.lastname: Yabe