Is the Best Fitting Curve Always Unique?

Is the Best Fitting Curve Always Unique?

is is a continuation of our paper [1] where we studied the problem of existence of the best �tting curve. Here we deal with its uniqueness. Our interest in these problems comes from applications where one describes a set of points PP1,... , PPnn (representing experimental data or observations) by simple geometric shapes, such as lines, circular arc, elliptic arc, and so forth. e best �t is ac...

Does the Best-Fitting Curve Always Exist?

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 f...

The best parameter subset using the Chebychev curve fitting criterion

Is dynamical systems modeling just curve fitting?

The development of mathematical tools for describing dynamical systems has made it possible to characterize forms of behavior that could not be characterized before. This represents progress, but the enterprise runs the risk of being nothing more than curve fitting if investigators fail to identify the physical, biological, or psychological mechanisms which are common to systems that follow the...

Signal detection Using Rational Function Curve Fitting

In this manuscript, we proposed a new scheme in communication signal detection which is respect to the curve shape of received signal and based on the extraction of curve fitting (CF) features. This feature extraction technique is proposed for signal data classification in receiver. The proposed scheme is based on curve fitting and approximation of rational fraction coefficients. For each symbo...