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thats pretty much it yes. the reason they dont just say 2nd derivative is that the derivative isnt a geometry property. you can have two curves with the same sh
by legosexmagic 4y ago
thats pretty much it yes. the reason they dont just say 2nd derivative is that the derivative isnt a geometry property. you can have two curves with the same shape but different derivatives.
curvature only depends on the shape of the object.
- phkahler 4y agoIt's called C2 continuity.
- jsjohnst 4y agoActually, you only need G2 continuity for the reflection to be continuous (yes, C2 is also G2 for regular curves).
- yshklarov 4y agoDo you know whether it's usual nowadays in industrial design to make curves that are actually smooth (I mean, derivatives of all orders are continuous) and not just C2? Or is it technically challenging for some reason, or not useful?
- kelsolaar 4y agoThe Continuity of Splines: https://youtu.be/jvPPXbo87ds https://youtu.be/jvPPXbo87ds