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hi.
having 3 point of a quadratic bezier curve(start, control, end), how i can calculate the length of curve.
having 3 point of a quadratic bezier curve(start, control, end), how i can calculate the length of curve.
A quadratic Bezier curve is a type of curve commonly used in computer graphics and design. It is defined by three points - two anchor points and one control point - and is used to create smooth, curved lines.
The length of a quadratic Bezier curve can be calculated using the arc length formula. This involves breaking the curve into smaller segments and using a numerical integration method (such as the composite Simpson's rule) to approximate the length of each segment. The total length of the curve can then be found by summing up the lengths of all the segments.
Calculating the length of a quadratic Bezier curve is useful for a variety of reasons. It can help with creating accurate animations and graphics, as well as determining the curvature and smoothness of a curve. It can also be used in mathematical and scientific applications, such as in the study of projectile motion or fluid dynamics.
Yes, there are some limitations to calculating the length of a quadratic Bezier curve. One limitation is that the arc length formula can only provide an approximation of the true length, as it involves breaking the curve into smaller segments. Additionally, the accuracy of the calculation depends on the number of segments used and the complexity of the curve.
Technically, yes, the length of a quadratic Bezier curve can be calculated manually using a ruler and protractor. However, this method would be extremely time-consuming and prone to error. It is much more efficient and accurate to use numerical integration methods, as described in question 2.