Section 
Description 
Video 
Notes 
Exercises 
From Bézier to BSpline  Piecing Curves Together. 

Generalizing the Definition of a Bézier Curve
We have just introduced Bézier Curves where the parameterization was always between zero and one. What if we want the curve to be parameterized differently? 




Continuity and Smoothness
Introducing the C^k notations. 




Piecing Two Bézier Curves Together
We can't freely choose the control points of the two curves if the curves are to be smoothly joined. 




A Sidebyside Comparison of Geometric Definitions of the Bézier and BSpline Curve
The definitions of Bézier and Bspline curves look remarkably similar  except for a few extras 




A Sidebyside Comparison of Analytic Definitions of the Bézier and BSpline Curve
The definitions of Bézier and Bspline curves look remarkably similar  except for a few extras 


