Tech Tip - Curvature Continuity

Presenter: Jesse Sprague
www.cadimension... During this Tech Tip, we are going to talk about curvature continuity. As we mentioned, to see last week's tip on the Zebra Stripe and Curvature tools, go here • Tech Tip - Zebra Strip...

[@czr7j9]

That is a really good demonstration, I have used it a bit in the automotive industry but these days the stylists use alias for A class and we draftspeople create models from their surfaces but usually only use tangent fillets as people don't generally don't examine an engine bay surface.

[@mihailazar2487]

03:50 WRONG G0, 1, 2, 3 isn't the same as C0, 1 2 3 G continuiey refferences geometric continuity which is what you are messing about with C continuiry reffers to parametric continuity these surfaces are parametric in that they're essentially a function that you input 2 parameters in (usually t and s) and you get a set of 3 values (xyz) which is the point in space belonging to that curve. they are functions mapping 2d space into 3d space f(t,s) => (x,y,z) but you can imagine as you increase either t or s by a strady amount the point you are sampling will move along the 3d surface. C continuity reffers to how that movement occurs. C0 continuity just means that as you cross the 2 surfaces the t parameter doesn't "jump" : there are no values taken twice and no values skipped during the transition. C1 continuity means the sampled point doesn't change speed when crossing the 2 surfaces. C3 continuity means the parameter doesn't change accelerationwhen transitioning between the 2 surfaces. you could see this when you try to export the NURBS as a triangle mesh: the middle of the surface will have vertices which are sampled by taking the function and inputting incremented values and the output should be a grid closely smoothly the curved surface. if you try to export the 2 merged surfaces that have C1 continuity you'll see a change of "density" in the mesh (one surface will have more triangles and the other will have way less and there's a clear seam between them ) If you export a C2 or C3 continous set of surfaces, in the triangle mesh you'll notice a gradual increase or decrease of triangle density when going across them, with the C3 being a lot smoother transition than the C2 Please note that this is completely separate from geometric continuity: you could only have a sharp G0 turn and still have complete C3 parametric continuity

[@chrischoir3594]

Class A mean the 1st and 2nd derivatives match along with the 'K' curvature radius, specifically of the osculating circle of both segment endpoints.

[@kandasamyrajan]

Thanks for the video

[@bendemanish1446]

so what should i tell you jesi ????

[@rayfletcher8759]

How did you create a G3 surface in Solidworks?

[@CADimensions]

This was a standard 3 point spline that had been adjusted by hand to create a smooth transition. However... keep your eyes peeled. There may be some new tools in this area in a release of the software coming soon!

[@rayfletcher8759]

I like that like.

[@Chandra45624]

❤️