https://github.com/msuzen/julia

Julia: Fractal Image Data Generator
https://github.com/msuzen/julia

cran cran-r fractals julia julia-fractal julia-sets mandelbrot-fractal mandelbrot-renderer mandelbrot-set r r-package r-programming shape-analysis

Last synced: 26 days ago
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Julia: Fractal Image Data Generator

• Host: GitHub
• URL: https://github.com/msuzen/julia
• Owner: msuzen
• Created: 2015-04-07T07:44:59.000Z (almost 11 years ago)
• Default Branch: master
• Last Pushed: 2024-07-24T00:38:06.000Z (over 1 year ago)
• Last Synced: 2025-12-09T13:41:32.080Z (3 months ago)
• Topics: cran, cran-r, fractals, julia, julia-fractal, julia-sets, mandelbrot-fractal, mandelbrot-renderer, mandelbrot-set, r, r-package, r-programming, shape-analysis
• Language: R
• Homepage:
• Size: 165 KB
• Stars: 1
• Watchers: 2
• Forks: 1
• Open Issues: 7
• Metadata Files:
  • Readme: README.md

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README

          
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# Julia

Julia: Fractal Image Data Generator

The package aim at generating Julia and Mandelbrot sets with given initial conditions and resolution using

an escape time algorithm. A resulting data matrix is represents escape times at each matrix entry.

## Julia Set

[Julia set](https://en.wikipedia.org/wiki/Julia_set) data can be generated with the `JuliaImage` function. 

An example case, 

```r

imageN <- 2000

centre <- 0.0

L <- 4.0

C <- -0.8 + 0.156i

image_matrix <- JuliaImage(imageN, centre, L, C)

```

A sample visualisation with R's hcl palette `Roma` as set values on 

a grid given as a matrix.

```r

par(mar=c(0, 0, 0, 0))

image(image_matrix[550:1450, 200:1800], 

      col=hcl.colors(2000, palette="Roma"), 

      axes=FALSE, useRaster=TRUE)

```

![](man/figures/julia0.jpeg) 

## Mandelbrot set 

[Mandelbrot set](https://en.wikipedia.org/wiki/Mandelbrot_set) data can be generated with `MandelImage` function.

An example to generate the data:

```r

imageN <- 2000; 

centre <- 0.0

L <- 4.0

image_matrix <- MandelImage(imageN, centre, L);

```

A sample visualisation with R's hcl palette `Roma` as set values on 

a grid given as a matrix.

```r

par(mar=c(0, 0, 0, 0))

image(image_matrix[350:1600, 1:1250], 

      col=hcl.colors(2000,  palette="Roma"),

      axes=FALSE, useRaster=TRUE)

```

![](man/figures/mandelbrot0.jpeg) 

And an other zooming 

```r

par(mar=c(0, 0, 0, 0))

image(image_matrix[800:1200, 200:600], 

      col=hcl.colors(2000,  palette="Roma"),

      axes=FALSE, useRaster=TRUE)

```

![](man/figures/mandelbrot1.jpeg) 

## Acknowledgements

Author is grateful to Ranjan Maitra for his suggestions on reviving the package.