Bezier curves are used in computer graphics to draw shapes, for CSS animation and in many other places. They are a very simple thing, worth to study once and then feel comfortable in the world of vector graphics and advanced animations. A bezier curve is defined by control points. Points are not always on curve.
The curve order equals the number of points minus one. A curve is always inside the convex hull of control points:. If convex hulls do not intersect, then curves do not either. Checking the intersection of convex hulls is much easier, because they are rectangles, triangles and so on see the picture above , much simpler figures than the curve.
The main value of Bezier curves for drawing — by moving the points the curve is changing in intuitively obvious way. After some practice it becomes obvious how to place points to get the needed curve. And by connecting several curves we can get practically anything.
Draw control points. In the demo above they are labeled: 1 , 2 , 3. In the demo above they are brown. The parameter t moves from 0 to 1. In the example above the step 0. Join Our Free Trial Now! First Known Use of Bezier curve , in the meaning defined above. Learn More About Bezier curve. Time Traveler for Bezier curve The first known use of Bezier curve was in See more words from the same year.
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