G’MIC Newton Fractal node
This documentation is for version 1.0 of G’MIC Newton Fractal (eu.gmic.NewtonFractal).
Description
Fractal Type:
Rendering:
Tips for Custom expressions:
Variables i0,i1 stand for the real and imaginary parts of the iterated complex number.
Variable i2 is the number of iterations required for convergence.
Variable z is the complex number with value [ i0,i1 ].
Functions p(z), dp(z) and d2p(z) are the expressions used for computing the fractal.
Note: Anti-aliasing is applied on final rendering only, not on preview.
Navigation:
Author: David Tschumperle. Latest Update: 2019/01/09.
Wrapper for the G’MIC framework (http://gmic.eu) written by Tobias Fleischer (http://www.reduxfx.com) and Frederic Devernay.
Inputs
Input |
Description |
Optional |
---|---|---|
Source |
No |
Controls
Parameter / script name |
Type |
Default |
Function |
---|---|---|---|
Expression / |
Choice |
z^^3 - 1 |
Custom
z^^2 - 1
z^^3 - 1
z^^5 - 1
z^^6 + z^^3 - 1
z^^8 + 15*z^^4 - 1
|
p(z) / |
String |
rot(35)*z^^3 - z^^2 + 1 |
|
p’(z) / |
String |
3*z^^2 - 2*z |
|
p’’(z) / |
String |
6*z - 2 |
|
Descent method / |
Choice |
Newton |
Secant
Newton
Householder
|
Max iterations / |
Integer |
200 |
|
Precision / |
Double |
2 |
|
Coloring / |
Choice |
By Iteration |
By Custom Expression
By Iteration
By Value
|
Number of Colors / |
Integer |
16 |
|
Smoothness / |
Integer |
8 |
|
Seed / |
Integer |
255 |
|
Colorspace / |
Choice |
HSV |
HSI
HSL
HSV
|
Hue min (%) / |
Double |
100 |
|
Hue max (%) / |
Double |
150 |
|
Lightness min (%) / |
Double |
20 |
|
Lightness max (%) / |
Double |
400 |
|
Colorspace_2 / |
Choice |
HSV |
RGB
HSI
HSL
HSV
Lab
|
Pre-Process / |
Choice |
Normalize |
None
Equalize
Normalize
Equalize and Normalize
|
Channel #1 / |
String |
carg(-z) |
|
Channel #2 / |
String |
(i0 + i1)/2 |
|
Channel #3 / |
String |
10*(i2^0.4) |
|
Post-Process / |
Choice |
None |
None
Equalize
Normalize
Equalize and Normalize
|
Brightness (%) / |
Double |
0 |
|
Contrast (%) / |
Double |
0 |
|
Gamma (%) / |
Double |
0 |
|
Hue (%) / |
Double |
0 |
|
Saturation (%) / |
Double |
0 |
|
Equalization (%) / |
Double |
0 |
|
Anti-aliasing / |
Choice |
x2 |
x1
x1.5
x2
x2.5
x3
x3.5
4
|
Zoom Center / |
Double |
x: 0.5 y: 0.5 |
|
Zoom Factor / |
Double |
0.5 |
|
Angle / |
Double |
0 |
|
Zoom In / |
Boolean |
Off |
|
Center / |
Boolean |
Off |
|
Zoom Out / |
Boolean |
Off |
|
Reset View / |
Boolean |
Off |
|
Display Coordinates on Preview Window / |
Boolean |
On |
|
Preview subsampling / |
Choice |
x2 |
None
x1.5
x2
x2.5
x3
x3.5
x4
|
Output Layer / |
Choice |
Layer 0 |
Merged
Layer 0
Layer -1
Layer -2
Layer -3
Layer -4
Layer -5
Layer -6
Layer -7
Layer -8
Layer -9
|
Resize Mode / |
Choice |
Dynamic |
Fixed (Inplace)
Dynamic
Downsample 1/2
Downsample 1/4
Downsample 1/8
Downsample 1/16
|
Ignore Alpha / |
Boolean |
Off |
|
Preview/Draft Mode / |
Boolean |
Off |
|
Global Random Seed / |
Integer |
0 |
|
Animate Random Seed / |
Boolean |
Off |
|
Log Verbosity / |
Choice |
Off |
Off
Level 1
Level 2
Level 3
|