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 / `Expression`	Choice	z^^3 - 1	Custom z^^2 - 1 z^^3 - 1 z^^5 - 1 z^^6 + z^^3 - 1 *z^^8 + 15z^^4 - 1**
p(z) / `pz`	String	rot(35)*z^^3 - z^^2 + 1
p’(z) / `pz2`	String	3z^^2 - 2z
p’’(z) / `pz3`	String	6*z - 2
Descent method / `Descent_method`	Choice	Newton	Secant Newton Householder
Max iterations / `Max_iterations`	Integer	200
Precision / `Precision`	Double	2
Coloring / `Coloring`	Choice	By Iteration	By Custom Expression By Iteration By Value
Number of Colors / `Number_of_Colors`	Integer	16
Smoothness / `Smoothness`	Integer	8
Seed / `Seed`	Integer	255
Colorspace / `Colorspace`	Choice	HSV	HSI HSL HSV
Hue min (%) / `Hue_min_`	Double	100
Hue max (%) / `Hue_max_`	Double	150
Lightness min (%) / `Lightness_min_`	Double	20
Lightness max (%) / `Lightness_max_`	Double	400
Colorspace_2 / `Colorspace_2`	Choice	HSV	RGB HSI HSL HSV Lab
Pre-Process / `PreProcess`	Choice	Normalize	None Equalize Normalize Equalize and Normalize
Channel #1 / `Channel_1`	String	carg(-z)
Channel #2 / `Channel_2`	String	(i0 + i1)/2
Channel #3 / `Channel_3`	String	10*(i2^0.4)
Post-Process / `PostProcess`	Choice	None	None Equalize Normalize Equalize and Normalize
Brightness (%) / `Brightness_`	Double	0
Contrast (%) / `Contrast_`	Double	0
Gamma (%) / `Gamma_`	Double	0
Hue (%) / `Hue_`	Double	0
Saturation (%) / `Saturation_`	Double	0
Equalization (%) / `Equalization_`	Double	0
Anti-aliasing / `Antialiasing`	Choice	x2	x1 x1.5 x2 x2.5 x3 x3.5 4
Zoom Center / `Zoom_Center`	Double	x: 0.5 y: 0.5
Zoom Factor / `Zoom_Factor`	Double	0.5
Angle / `Angle`	Double	0
Zoom In / `Zoom_In`	Boolean	Off
Center / `Center`	Boolean	Off
Zoom Out / `Zoom_Out`	Boolean	Off
Reset View / `Reset_View`	Boolean	Off
Display Coordinates on Preview Window / `Display_Coordinates_on_Preview_Window`	Boolean	On
Preview subsampling / `Preview_subsampling`	Choice	x2	None x1.5 x2 x2.5 x3 x3.5 x4
Output Layer / `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 / `Resize_Mode`	Choice	Dynamic	Fixed (Inplace) Dynamic Downsample 1/2 Downsample 1/4 Downsample 1/8 Downsample 1/16
Ignore Alpha / `Ignore_Alpha`	Boolean	Off
Preview/Draft Mode / `PreviewDraft_Mode`	Boolean	Off
Global Random Seed / `Global_Random_Seed`	Integer	0
Animate Random Seed / `Animate_Random_Seed`	Boolean	Off
Log Verbosity / `Log_Verbosity`	Choice	Off	Off Level 1 Level 2 Level 3