DeepFractal

Deep mandelbrot viewer in webapp. It uses WebGL and perturbation theory acceleration.

Features

• Deep zoom (beta version 10^-31, 1024 iteration)
• Webgl parallel processing
• Perturbation theory
• Adaptive super-sampling
• Progressive web application
• Julia set and orbits with Ctrl key

2do

• Double.js as a library for arbitrary precision
• Ping-pong rendering for deeper zoom
• Logarithmic search for reference point
• Infinite zoom
• Better optimization (progressive render, SDF serach)
• UI features (router, save picture button)

References

1. Bruce Dawson. Faster Fractals Through Algebra. [url]
2. Jussi Harkonen. On Smooth Fractal Coloring Techniques. [pdf]
3. Javier Barrallo, Damien Jones. Coloring algorithms for dynamical systems in the complex plane. [pdf]
4. K.I. Martin. Superfractalthing math. [pdf]
5. Robert Munafo. Speed Improvements [url]
6. Claude Heiland-Allen. Adaptive super-sampling using distance estimate. [url]
7. Arnaud Cheritat. Mandelbrot set [url]
8. Heinz-Otto Peitgen, Dietmar Saupe, Benoit Mandelbrot etc. The Science of Fractal Images. Appendix D.