08-30-2023, 02:19 PM
I will have to increase the limits of Low Bailout, as sometimes it needs to be more than three times the zoom.
The problem with interior coloring is that it needs low bailout to be in an appropriate range for the formula, location and zoom, and there isn't a simple way to automatically determine the range. For Julia sets, critical points are analyzed to determine the convergence characteristics, which are factors in the coloring. The analysis takes max iterations into account (currently using twice max iterations) and generally works well when max iterations is sufficient for most pixels to escape or converge if they are going to. But with max iterations set lower the analysis is not accurate and the relationship between low bailout, max iterations and convergence detection (and the resultant interior coloring) becomes sensitive and erratic, so they don't behave predictably when you adjust them. The reason for the analysis is not just for convergence detection but to allow correct identification of attractor type, period and field angles, to support the various color options.
The problem with the current automatic low bailout setting is that it is too low for Julias of minibrot zooms but too high for deep zooms into simple Julias, while being about right or slightly low for most unzoomed Julias. The problems are most noticeable with interior textures or field lines, which get discontinuous if too low or distorted if too high.
The problem with interior coloring is that it needs low bailout to be in an appropriate range for the formula, location and zoom, and there isn't a simple way to automatically determine the range. For Julia sets, critical points are analyzed to determine the convergence characteristics, which are factors in the coloring. The analysis takes max iterations into account (currently using twice max iterations) and generally works well when max iterations is sufficient for most pixels to escape or converge if they are going to. But with max iterations set lower the analysis is not accurate and the relationship between low bailout, max iterations and convergence detection (and the resultant interior coloring) becomes sensitive and erratic, so they don't behave predictably when you adjust them. The reason for the analysis is not just for convergence detection but to allow correct identification of attractor type, period and field angles, to support the various color options.
The problem with the current automatic low bailout setting is that it is too low for Julias of minibrot zooms but too high for deep zooms into simple Julias, while being about right or slightly low for most unzoomed Julias. The problems are most noticeable with interior textures or field lines, which get discontinuous if too low or distorted if too high.