Page: Parametric - Representation

Parametric representation of curves overcomes all of the aspects mentioned in the non parametric form.

  • It allows close and multiple valued functions to be easily defined and replaces shapes with tangent vectors.
  • In case of commonly used curves such as linear and cubic, these equations are polynomial rather than being equations involving roots.
  • The parametric representation of geometry involves expressing relationships for the x and y not in terms of each other but of one or more independent variables known as parameters.
  • A single parameter, say u, is used to represent curves by expressing x and y in terms of two variables.

For e.g., a point can be represented by:

$p(u)=[x(u) \ \ \ y(u)]$ where $(u_{min}\le u\le u_{max})$

The value of u is taken in general between 0 & 1 in order to normalize the parametric value.

modified 3 months ago by gravatar for Ankit Pandey Ankit Pandey100 written 4 months ago by gravatar for Snehal Bhise Snehal Bhise ♦♦ 10
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