An Algorithm for Fitting Archimedean Spiral to Empirical Data

Estimation of Production Possibility Surface from Empirical Data

“…Statistical fitting of certain surfaces, if tried directly with the algebraic expression thereof, may be problematic. Equations of asteroid, cycloid, hyperbola, spirals (see Mishra, 2004), etc. are the typical examples that would be difficult to fit to empirical data directly.…”

Fitting an Origin-Displaced Logarithmic Spiral to Empirical Data By Differential Evolution Method of Global Optimization

“…As these algorithms are not designed for tackling such a situation, a good many genuine values of f (θ ) are taken for errors by the procedure adopted by them. Failure of the available statistical software packages also in fitting the spiral led the author to develop a new algorithm to fit an Archimedean spiral to the empirical data (Mishra, 2004).…”