algorithmic modeling for Rhino
A Grasshopper definition to draw and understand Bezier Curves.
Grasshopper: http://www.grasshopper3d.com/
Bezier Curves: http://en.wikipedia.org/wiki/B%C3%A9zier_curve
Music: Turquoise Days - Grey Skies
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It is possible to optimize intersection tests in computer graphics because of that last characteristic. Curves do not intersect if convex hulls do not intersect. Checking for the intersection of the convex hulls first can result in a very quick "no intersection" result. Convex hull intersections are significantly easier to check because they are rectangles, triangles, and other simple shapes (as seen in the diagram above). You can download this app for free.
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