# Fractals/Computer graphic techniques/3D

< Fractals

# 3d still imagesEdit

## Converting 2D images to 3DEdit

- 2D fractals mapped onto a Riemann sphere

For height of each pixel one can use :

- distance to boundary : "I'm using the distance estimate method (DEM) as the basis of my height values. (inverted, the log, scaled and streched, etc.)" Duncan C
^{[1]} - fractional iteration values
^{[2]}

# video or animation made from 2D imagesEdit

What is the difference between video and animation ?

Software used to do the conversion :

- answer on fractal forum
^{[3]} - commons help

## parameter planeEdit

One can make videos using :

- going along some
**paths**on parameter plane ( for example internal and external rays ) - Poincaré half-plane metric for zoom animation
^{[4]} **zoom**into parameter plane^{[5]}^{[6]}^{[7]}using automatic determination of Iteration Max number^{[8]}- changing
**coloring scheme**( for example color cycling - Fractint) - changing some parameters of algorithm, for example :
- maximal iteration of escape time algorithm
- bailout value
^{[9]}

### pathEdit

- straight line from c=-0.75+i to c=-0.75-i. It is mostly in the exterior of Mandelbrot set ( then Julia set is disconnected with no interior). There is only one point c=-0.75 where c belongs to the boundary of Mandelbrot set ( root point between period 1 and 2 hyperbolic components). In that point Julia set has interior ( parabolic ).
^{[10]} - from c=-2 to c=1.65 ( real slice of Mandelbrot set )
^{[11]} - around a circle centred at -1 and with a radius of 0.25
- around main cardioid
^{[12]} - parameter traces a circle centred at -0.29848658+0.65843271i and with a radius of 0.004. On the parameter plane, this does a circle around a point of the Mandelbrot fractal that is radiating 11 strands in a very loose spiral.
^{[13]} - races a circle centred at -1.57621921451761 and with a radius of 3.6 x 10^-10. On the parameter plane, this does a circle around a minibrot at that location without passing through the minibrot itself.
^{[14]}

# ReferencesEdit

- ↑ Duncanc Champney at fractalforums
- ↑ 3D plot with fractional iteration values by Duncan Champney
- ↑ answer on fractal forum
- ↑ Poincaré half-plane metric for zoom animation by Claude Heiland-Allen
- ↑ Really Deep Fractal Zoom Movie – Much Faster by Bruce Dawson
- ↑ Making Mandelbrot Set Movies by Tony Finch
- ↑ MLbrot by Daniel de Rauglaud
- ↑ Discussion : A way to determine the ideal number of maximum iterations for an arbitrary zoom level in a Mandelbrot fractal
- ↑ Gif image by jgabase : a wormhole effect on your fractals by changing the bailout dynamicaly
- ↑ Video : "Julia fractal morph: -0.75+i to -0.75-i" on youtube by rrwick
- ↑ video on youtube by rrwick
- ↑ video on youtube by rrwick
- ↑ video on youtube by rrwick
- ↑ video on youtube by rrwick