The classical curve-fitting problem to relate two variables, x and y, deals with polynomials. Generally, this is solved by the least squares method (LS), where minimization function considers vertical errors from data points fitting curve. Another total (TLS), which takes into account in both y variables. A further orthogonal distances (OD), minimizes sum of In work, we develop OD for polynomia...

In this paper Fourier series expansion of polar representation of an object contour is used to obtain robust and fast implicit polynomial fittings for star shaped objects in 2D and 3D. The new fitting algorithm is compared with existing implicit polynomial fitting algorithms with respect fitting performance and timing requirements.

Fuzzy Hermite interpolation of 5th degree generalizes Lagrange interpolation by fitting a polynomial to a function f that not only interpolates f at each knot but also interpolates two number of consecutive Generalized Hukuhara derivatives of f at each knot. The provided solution for the 5th degree fuzzy Hermite interpolation problem in this paper is based on cardinal basis functions linear com...