Least squares fitting

PEDOMODELS FITTING WITH FUZZY LEAST SQUARES REGRESSION

Pedomodels have become a popular topic in soil science and environmentalresearch. They are predictive functions of certain soil properties based on other easily orcheaply measured properties. The common method for fitting pedomodels is to use classicalregression analysis, based on the assumptions of data crispness and deterministic relationsamong variables. In modeling natural systems such as s...

Determination of the best-fitting reference orbit for a LEO satellite using the Lagrange coefficients

Linearization of the nonlinear equations and iterative solution is the most well-known scheme in many engineering problems. For geodetic applications of the LEO satellites, e.g. the Earth’s gravity field recovery, one needs to provide an initial guess of the satellite location or the so-called reference orbit. Numerical integration can be utilized for generating the reference orbit if a satelli...

Plane Fitting on Airborne Laser Scanning Data Using RANSAC

Model fitting refers to problem that computing the most ideal parameters of a model so that the model gives the greatest extent of coincidence with the data. The most widely used method for fitting data with Gaussian noises should be ordinary least squares. However, the ordinary least squares method treats each datum equally, which makes it unsuitable for fitting the data containing outliers. T...

Fitting Distances by Least Squares

Least Squares Methods for Models Including Ordinary and Partial Differential Equations

This contribution gives a brief overview on nonlinear constrained least squares methods. The focus is on data fitting problems in which the models include ordinary or partial differential equations.

Geometric Interpretation and Precision Analysis of Algebraic Ellipse Fitting Using Least Squares Method

This paper presents a new approach for precision estimation for algebraic ellipse fitting based on combined least squares method. Our approach is based on coordinate description of the ellipse geometry to determine the error distances of the fitting method. Since it is an effective fitting algorithm the well-known Direct Ellipse Fitting method was selected as an algebraic method for precision e...