< Fractals < Computer graphic techniques
3d still images
Converting 2D images to 3D
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 images
What is the difference between video and animation ?
Software used to do the conversion :
- answer on fractal forum[3]
- commons help
parameter plane
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]
path
- straight line from 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 belogs 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]
References
- ↑ 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
This article is issued from
Wikibooks.
The text is licensed under Creative
Commons - Attribution - Sharealike.
Additional terms may apply for the media files.