Difference between B-Spline and Bezier Curves

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B-Spline curves are more general interpolation curves that pass through all control points, while Bezier curves are cubic polynomial expressions that serve as approximation curves, only passing through their endpoints. Bezier curves are influenced by their control points but do not necessarily intersect them. Under certain conditions, a B-Spline can degenerate into a Bezier curve. This distinction highlights the different applications and behaviors of these two types of curves in computer graphics and modeling. Understanding these differences is crucial for effective use in design and animation.
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Dear friends
What is the difference between B-Spline curve and Bezier curve?
Regards
Govind
 
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Hey kmgraju and welcome to the forums.

A B-Spline is an interpolation curve that is a lot more general whereas a bezier curve is a cubic polynomial expression (for each dimension, example curve, surface, volume, etc) that is an approximation curve given control points.

Interpolation curves go through the control points whereas approximation curves don't necessarily go through the points. You'll note that a bezier curve/surface/volume goes through only the end-points and in general is only 'pulled' towards the middle two points and doesn't go through them (like an interpolation curve does).
 
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