Parametrization

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Parametrization is the process of deciding and defining the parameters necessary for a complete or relevant specification of a model or geometric object. Sometimes, this may only involve identifying certain parameters or variables. If, for example, the model is of a wind turbine with a particular interest in the efficiency of power generation, then the parameters of interest will probably include the number, length and pitch of the blades. Most often, parameterization is a mathematical process involving the identification a complete set of effective coordinates or degrees of freedom of the system, process or model, without regard to their utility in some design. Parameterization of a line, surface or volume, for example, implies identification of a set of coordinates that allows one to uniquely identify any point (on the line, surface, or volume) with an ordered list of numbers. Each of the coordinates can be defined parametrically in the form of a parametric curve (one-dimensional) or a parametric equation.

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Pagina's: 80, Paperback, Betascript Publishers