G’MIC Newton Fractal node — Natron 2.5.0 documentation

# 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 + 15*z^^4 - 1
p(z) / `pz` | String | rot(35)*z^^3 - z^^2 + 1 |
p’(z) / `pz2` | String | 3*z^^2 - 2*z |
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