kf-2.15.1 released!
with OpenCL acceleration, hybrid formula designer, exponential map, and more
get it from https://mathr.co.uk/kf/kf.html#kf-2.15.1

- #OpenCL support for perturbation iterations (requires double precision support on device: #CPU should work, some #GPU might not)
- #HybridFormula editor (design your own fractal formula)
- #ExponentialMap coordinate transformation (useful for export to #zoomasm for efficient #video assembly)
- rotation and skew transformations are rewritten to be more flexible (but old skewed/rotated KFR locations will not load correctly)
- kf-tile.exe tool supports the new rotation and skew transformations
- the bitrotten skew animation feature is removed
- a few speed changes in built in formulas (one example, RedShiftRider 4 with derivatives is almost 2x faster due to using complex analytic derivatives instead of 2x2 Jacobian matrix derivatives)
- flip imaginary part of Buffalo power 2 (to match other powers; derivative was flipped already)
- slope implementation rewritten (appearance is different but it is now independent of zoom level and iteration count)
- smooth (log) iteration count is offset so dwell bands match up with the phase channel

#deep #zoom #DeepZoom #fractal #fractals #free #software #FreeSoftware #mandelbrot #MandelbrotSet #BurningShip #KallesFraktaler #KF

https://archive.org/details/kf-exp-map-flat-1

#fractal #zoom #video calculated in #KF (515 keyframes forming an #ExponentialMap) in 66mins wall clock time, then assembled and encoded into a 3min video in 12mins wall clock time. Should be a part of the next major KF release come September time or so.

I implemented the video assembler in #CPlusPlus using #OpenGL #GLSL #shaders to colour the raw iteration data, wasn't hard to modify my earlier flat keyframe interpolator to work with exponential map slices. https://mathr.co.uk/zoom

The colouring is based on directional distance estimate - close to the fractal is black, with rainbow tinges surrounding desaturating to white far from the fractal.