Lecture 7: Intro to Geometry, Splines, and Bezier Curves (137)

SeanW0823

Is it possible for us to differentiate between C1 and C2 continuity? From the slides, both seem smooth when we're trying to join two piecewise Bezier surfaces.

kkoujah

yes, it is possible to differentiate between C1 and C2 continuity when joining two piecewise Bezier surfaces. The continuity between two curves or surfaces is determined by the smoothness of the transition between them. C1 continuity means that the two curves have the same tangent at the point where they join. C2 continuity, means that not only are the tangents of the two curves continuous at the junction point, but also their curvature.

Is it possible for us to differentiate between C1 and C2 continuity? From the slides, both seem smooth when we're trying to join two piecewise Bezier surfaces.

yes, it is possible to differentiate between C1 and C2 continuity when joining two piecewise Bezier surfaces. The continuity between two curves or surfaces is determined by the smoothness of the transition between them. C1 continuity means that the two curves have the same tangent at the point where they join. C2 continuity, means that not only are the tangents of the two curves continuous at the junction point, but also their curvature.