parametiskt

Parametiskt is a Swedish term describing concepts related to parameters or parameterization. It is used across disciplines to indicate that a model, method, or representation is defined by a finite number of parameters.

In mathematics and geometry, parametric descriptions express shapes using one or more parameters. A curve in the plane can be given by x = f(t), y = g(t); a surface by x = X(u,v), y = Y(u,v), z = Z(u,v). Parametrization allows smooth interpolation and easy manipulation, for example the circle x = r cos t, y = r sin t.

In statistics and data analysis, a parametric model specifies a probability distribution or a functional relationship through a fixed set of parameters, such as the normal distribution with mean μ and standard deviation σ. Parameters are typically estimated from data via likelihood methods or least squares. Parametric methods are efficient with small datasets but risk model misspecification if the assumed form is incorrect.

In computer graphics, engineering and design, parametric approaches define shapes and systems through adjustable parameters, enabling rapid exploration of design variants. Parametric design emphasizes the dependency of features on parameters, facilitating automation, optimization, or alignment with constraints.

Compared with non-parametric methods, parametric approaches rely on a predetermined structure, trading flexibility for efficiency and interpretability. The term parametiskt emphasizes the role of parameters as essential building blocks across these fields.