ECS 178 -- Geometric Modeling
Unit 7 -- Transitioning to Subdivision Curves
But Subdivision can do much more
In 1974, George Chaikin gave a talk at the University of Utah, and the topic of this talk has been transformed into what we know today as Subdivision Curves.
The uniform B-spline curve, generated from a uniform set of knots, has some properties that we can utilize to generate subdivision curves.
Because the blending functions of the Uniform B-spline curve are just shifted versions of each other, this enables us to write the Uniform B-spline curve in a matrix form.
Like Chaikin's method, these schemes take a set of points representing a control point set, and refine them into a new control point set, typically with more elements.
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