POV-Ray : Newsgroups : povray.advanced-users : Smooth, continuous Bezier splines (again) Server Time
13 Jul 2025 09:52:01 EDT (-0400)
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From: Tor Olav Kristensen
Subject: Re: Smooth, continuous Bezier splines (again)
Date: 1 Mar 2025 11:40:00
Message: <web.67c337f896675d9f43a63f5189db30a9@news.povray.org>
"Bald Eagle" <cre### [at] netscapenet> wrote:
> That approach was also close to what I was doing, however it doesn't match the
> curvature of the spline segments at the endpoints.
>
> Visually, it still looked too flat-then rounded-then flat-then rounded....
>
> Although I didn't pore over your code yet, I quickly skimmed it to see where the
> control points were calculated, and then bolted on my curvature comb code to
> visualize the curvature over all of the spline segments.
>
> You can see where the mismatches are.
>
> So I still think I have to degree elevate and then I can mirror the additional
> control points to get the curvature to match.
>
> (Also, FYI: the point/tip is actually a hard point.  So 2 separate composite
> splines - 1 on the left and 1 on the right)
>
> I'll see if I have enough time to patch in my degree elevation code and extend
> the control-point mirroring that one extra "level" into the splines.

It is interesting to see the discontinuities visualized like this.

Have you also made similar tools for working with curved surfaces?

--
Tor Olav
http://subcube.com
https://github.com/t-o-k


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From: Bald Eagle
Subject: Re: Smooth, continuous Bezier splines (again)
Date: 1 Mar 2025 18:40:00
Message: <web.67c39a4496675d9f1f9dae3025979125@news.povray.org>
"Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:

> It is interesting to see the discontinuities visualized like this.
>
> Have you also made similar tools for working with curved surfaces?

That was what the whole Gaussian curvature project was about.
Iterating over a surface and showing the curvature combs would be - messy.

I also covered the various production methods of visualizing curvature and
discontinuities using zebra stripes, dots, isophotes, etc.


There is, of course, always so much more to do with this stuff.

- BW


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