An intro to parametric curves is a mathematical concept used to describe the movement of an object through a series of equations. It involves using two or more independent variables to represent the coordinates of a point on a curve.
Parametric curves are used in various fields such as engineering, physics, computer graphics, and robotics. They are particularly useful in describing the motion of objects and creating smooth and realistic animations.
A parametric curve is represented by a set of equations that describe the x and y coordinates of a point on the curve at any given time. These equations are typically in the form of x = f(t) and y = g(t), where t is the independent variable and f(t) and g(t) are functions that determine the coordinates of the point.
The main difference between parametric curves and Cartesian curves is the use of independent variables. Parametric curves use two or more independent variables, while Cartesian curves use only one. Additionally, parametric curves allow for more flexibility and control in describing curved shapes.
Parametric curves have several advantages over other methods of representing curves. They allow for more complex and realistic shapes to be described, they provide more control over the shape and movement of objects, and they can easily be used in computer graphics and animation applications.