1. A lens system for facilitating the description of a lens design or quantitative description of a lens comprising: hardware providing: an input module; a processing module; and an output module; wherein said input module comprises algorithms for acquiring lens profile data from a data source, and said processing module comprises algorithms for implementing a method for describing the shape of a lens, and said output module comprises algorithms for outputting a mathematical lens profile description to a lens profile description receptacle, and an output device for direct output of lens shape; wherein the algorithm comprise: a definition of a mathematical series function consisting of a mathematically summed series of a number of orders of a mathematical base function; and facilities to fit the mathematical series function, without discontinuity at any point to an anterior lens surface, a posterior lens surface and an equatorial region of a crystalline lens described by crystalline lens profile data acquired by the input module.