Does the Best-Fitting Curve Always Exist?
نویسندگان
چکیده
In many areas of human practice, one needs to approximate a set of points P1, . . . , Pn ∈ R representing experimental data or observations by a simple geometric shape, such as a line, plane, circular arc, elliptic arc, and spherical surface. This problem is known as fitting amodel object line, circle, sphere, etc. to observed data points. The best fit is achieved when the geometric distances from the given points to the model object are minimized, in the least squares sense. Finding the best fit reduces to the minimization of the objective function
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