Lecture 7: Intro to Geometry, Splines, and Bezier Curves (107)

ieliu

Is there an efficiency/space difference between connecting two different Bezier curves, or just using one larger curve. I recognize that by using two, it allows us more control over the shape, but is there ever a time where you would sacrifice that control?

sZwX74

I think it costs less to construct one large Bezier curve vs. connecting multiple smaller ones. So if we cared more about speed vs. control, then maybe we would use one large Bezier curve.

Staffjamesfobrien

Remember that a cubic polynomial can only “bend” a limited number of times. By gluing multiple cubics together we get more “flexibility”. The cost is that the joints are only C1 continuous.

Is there an efficiency/space difference between connecting two different Bezier curves, or just using one larger curve. I recognize that by using two, it allows us more control over the shape, but is there ever a time where you would sacrifice that control?

I think it costs less to construct one large Bezier curve vs. connecting multiple smaller ones. So if we cared more about speed vs. control, then maybe we would use one large Bezier curve.

Remember that a cubic polynomial can only “bend” a limited number of times. By gluing multiple cubics together we get more “flexibility”. The cost is that the joints are only C1 continuous.