Section 
Description 
Video 
Notes 
Exercises 
Transforming from BSplines to Subdivision 

Chaikin's Curve
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. 




Working with the Uniform BSpline Curve
The uniform Bspline curve, generated from a uniform set of knots, has some properties that we can utilize to generate subdivision curves. 




A Matrix Representation of the Uniform BSpline Curve
Because the blending functions of the Uniform Bspline curve are just shifted versions of each other, this enables us to write the Uniform Bspline curve in a matrix form. 




Subdivision Algorithms are refinement schemes. What are refinement schemes?
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. 


