ECS 178 -- Geometric Modeling

Unit 4 -- Transitioning from Bezier to B-splines

Need to do more than just polynomials!

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Unit 4 -- Transitioning to B-Splines

Section Description Video Notes Exercises

From Bézier to B-Spline -- 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?

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Smooth

Continuity and Smoothness

Introducing the C^k notations.

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Another Curve

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.

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SideBySide

A Side-by-side Comparison of Geometric Definitions of the Bézier and B-Spline Curve

The definitions of Bézier and B-spline curves look remarkably similar -- except for a few extras

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Side By Side 2

A Side-by-side Comparison of Analytic Definitions of the Bézier and B-Spline Curve

The definitions of Bézier and B-spline curves look remarkably similar -- except for a few extras

Video Here Notes Here  
 
 

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