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bezier

Guitar Surfacing Help
Hi. I have been putting together some neck-through guitar designs in Onshape. There have been a few iterations so far which are visible in the linked document, but I am currently working on the arch top shred stick pictured below: I am struggling to, A: get curved surfaces to have a smooth rate of change, when looking at…
Creating Smooth Lofts
I was having issues creating smooth lofts on this helmet. https://cad.onshape.com/documents/b2f8fe08679dabeeac1950da/w/17ab1e761096c9e8b822b024/e/0182e42400e098613859acbe After 3dprinting it I determined I need to resize the helmet a bit so I decided to redo the base sketches use Bézier curves instead of splines. Which you…
G³ Constraint for Bézier?
Given a Bézier which is degree n (and in this case n≥3), if I want to make the P₀ end point G² to another curve, I know that there's a simple equation. Let c= distance from P₀ to P₁, d= normal distance of P₂ from the P₀-P₁ vector, and 𝜅 is the curvature of the adjoining curve at the common endpoint. Then d=(n/(n-1))𝜅c². Is…
Slide Bézier Control Points?
I managed to create this using a bunch of constraints which I suspect are not generalizable, but here's the concept: I've seen in other CAD systems that there are tools to "slide" the control points along a Bézier in a way which creates as little change to the shape of the curve as possible. I've looked around for research…

Guitar Surfacing Help
Hi. I have been putting together some neck-through guitar designs in Onshape. There have been a few iterations so far which are visible in the linked document, but I am currently working on the arch top shred stick pictured below: I am struggling to, A: get curved surfaces to have a smooth rate of change, when looking at…
Creating Smooth Lofts
I was having issues creating smooth lofts on this helmet. https://cad.onshape.com/documents/b2f8fe08679dabeeac1950da/w/17ab1e761096c9e8b822b024/e/0182e42400e098613859acbe After 3dprinting it I determined I need to resize the helmet a bit so I decided to redo the base sketches use Bézier curves instead of splines. Which you…
G³ Constraint for Bézier?
Given a Bézier which is degree n (and in this case n≥3), if I want to make the P₀ end point G² to another curve, I know that there's a simple equation. Let c= distance from P₀ to P₁, d= normal distance of P₂ from the P₀-P₁ vector, and 𝜅 is the curvature of the adjoining curve at the common endpoint. Then d=(n/(n-1))𝜅c². Is…
Slide Bézier Control Points?
I managed to create this using a bunch of constraints which I suspect are not generalizable, but here's the concept: I've seen in other CAD systems that there are tools to "slide" the control points along a Bézier in a way which creates as little change to the shape of the curve as possible. I've looked around for research…

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