General Smoothing

From Ultrafractal Wiki

General Smoothing Direct and General Smoothing Gradient are Coloring Algorithms in reb5.ucl.

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I have added a new coloring formula to the database called General Smoothing. There is both a gradient and a direct color version. The gradient version can use trap shapes as textures, while the direct color version can use both trap shapes and trap colors. What is different about general smoothing is that it works well with both Convergent and Divergent formulas with no parameters needed to deal with both types. Some fractals, the Magnet fractals, for example, have both Convergent and Divergent regions (with both a Convergent and a Divergent Bailout). Fractals of this type have been very difficult to color smoothly in all regions. Most trap formulas will work, but much of the detail, for those who want it, is lost.

The only caveat is that the user must set the Bailout on a Divergent fractal to a large value, for example 1e8. For a Convergent fractal the bailout should be quite small, say 1e-8. Fractals with both Convergent and Divergent bailouts should be set accordingly. Here is a simple one layer example that uses the Magnet formula. The texture in this case comes from using the Convolution Shape Wrapper to wrap around the Monnier texture and an emboss filter.

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; Copyright © 2008 by Ron Barnett.
; tweakable on the list.
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