Cutting edge 2

Just varying the motif. I was just wondering if arbitrary drawing on bezier surface were not analogous to curve spaces in physics ... Need to experiment this.

Cutting edge

Still generalizing bezier shape patching. New algo, by considering :

• a bezier surface defined by a close four-parts bezier curve
• a generalized 2D coord system can be defined on this surface, coord being between 0.0 and 1.0
• algo can then compute a sub surface defined by two "points" of the previous bezier surface

Thus can be defined and computed the image iterated form :

• the bezier surface is defined by a pic bezier, completed to be closed
• four sub-surfaces are computed, from top to bottom
  

Slaughter

Just mapping the previous result on a spiral pattern, with some color playing, and it occurs. Badly in time ...

Rusted metalflower

Keep on improving, still rebuilding a lot of things, and extending. This image uses a new splitter operator, which takes a surface (made of four bezier curves forming a close area), and splits it according to one orientation (two are available given the two possible opposite curve pa) and one ratio. Computation of the boundary is then done by computing the two new points on the 'base" curves, and aggregating control vectors of the "untouched" two other curves.

The previous curve corresponds to a splitter recursion on a simple pic bezier, alternating "horizontal" and "vertival" splitting. Chase the red ...

Fractstar

At last ... :-)))))))))))

Bezier flake

Another result from my experiment with bezier curves :

• take an arc bezier
• subdivise it
• replace the middle part with a downscaled arc
• reiterate

And you obtain a curvy Von Koch flake.

News from the front

Again a long time from my previous post... I worked a lot on bezier curve concept : subdivision, tangent computation, zigzag, recursion. Here is a nice picture, reminding me some child drawing.
As usual, please click on the picture to get a better point of view :-).

Fire on BlackHole : center

Fire on BlackHole

BlackHole

Raw first try of real fractal vector : I compute a first level of spirals, thenI consider each point as a new fix point of the same pattern, scaled down. Here we are.