The attached image shows plots of the 16 bivariate blending functions
that are used for making 3D bicubic Bezier patches.

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

Post a reply to this message

Attachments:
Download 'bezier_basis functions_09.png' (982 KB)

Preview of image 'bezier_basis functions_09.png'

On 3/1/25 11:53, Tor Olav Kristensen wrote:
> The attached image shows plots of the 16 bivariate blending functions
> that are used for making 3D bicubic Bezier patches.
> 

Cool. Was the plot done with POV-Ray or some other tool?

Bill P.

Post a reply to this message

William F Pokorny <ano### [at] anonymousorg> wrote:
> On 3/1/25 11:53, Tor Olav Kristensen wrote:
> > The attached image shows plots of the 16 bivariate blending functions
> > that are used for making 3D bicubic Bezier patches.
> >
>
> Cool. Was the plot done with POV-Ray or some other tool?

Thank you Bill

It was made with POV-Ray v3.7 only.

It's just 16 rgbf colored triangle meshes with thin strings of black cylinders
and spheres drawn across them.

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

Post a reply to this message

"Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
> The attached image shows plots of the 16 bivariate blending functions
> that are used for making 3D bicubic Bezier patches.

Yes, I have my own version of that as Illustration 18 on pg 15 of the monograph.

Post a reply to this message

Attachments:
Download '3dpolynomials.png' (86 KB)

Preview of image '3dpolynomials.png'