What is beizer curve? Discuss the limitations of bezier curve?
Answers
Bézier curve is a parametric curve used in computer graphics and similar fields.
This curve is related to the Bernstein polynomial and is named after Pierre Bézier who used it in 1960s for designing curves for bodywork of Renault cars.
Finding limit of curve of H-Bézier curves of degree as parameter goes to the Bézier curve of degree and prove it by mathematical induction and specific properties of H-basis functions.
We compares it to limit curve of Bézier curves of degree in standard form and with the same weight.
Degree or order of Bezier curve is determined by (1.40) multiplied by the coefficients are termed as control points or alternately as Bezier points and altogether with the fundamental function will determine the what shape the curve have.
Lines are drawn between consecutive control points of the curve form the control polygon.
Limitations of the Bezier curve: There are limitations of the Bezier curve.
It although unlimited but contains a finite number of control points.
There are many curves which cannot be completely expressed by Bezier curves.
Most cubic rational Bezier curves may be included in that class, and most curves of higher degree also.
It is liable to approximate in nature.
By means of an arbitrary number of points those could probably be approximated arbitrarily not exactly.