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Pixel Sorting visualization using different methods for Processing 3

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Pixel Sorting

A set of pixel sorting visualization using different methods on Processing v3. This is my attempt to learn those sorting algorithm, but with something aesthetically pleasing. Those sketches with "Simple" on its name are the 1st attempt to understand the pixel sorting process and don't have or have limited visualization. Since we are talking about sorting pixels, there are lots of ways in doing that:

  • you can sort by hue, brightness, by the colour channel, saturation (HSB colour mode). So far I only did for hue and brightness.
  • you can sort just like above and with any sorting method, but instead of sorting all the pixels of the images, it can be done by sorting line by line separated, either horizontally or vertically or a combination of those, just a section of the image. In fact, there are a lot of crazy ways to sort pixels. Imagination, time and knowledge are the only restriction.

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Basic setup and config

Most of the processing sketches have the following variables to control the visualization and sorting. Each have their own option variables and they are at the start of the sketch.

  • boolean showBothIMG -> can be either "true" or "false"; If true, it shows both imgs side by side, otherwise it only shows the sorted img with the original image in the corner reduced to 20% the size. If the image is bigger than the device's screen, it will rescale the image to 80% of the screen.
  • String sortPixelMethod -> can be either "hue" or "brightness". As the name sugests the user can select how to sort the pixels by hue or brightness
  • int multiStep -> each sorter has its own value. This is used to control speed of sorting process. For each frame, the process will run a multiStep times.

- - -

Bellow there are the links of video examples for each visualizations method (GIF images were too big to put here). It also mentions if that sorting method is stable or not. Stable sort algorithms sort repeated elements in the same order that they appear in the input. We can actually see the differences between a stable sorting and an unstable just by see the pixels arrangement. This is evident on the images on the bottom of the page.

Simple sort

Pixel Bubble Sorting

Stable: Yes

Pixel Bubble Sorting on cat

Pixel Insertion Sorting

Stable: Yes

Pixel Insertion Sorting on cat

Pixel Selection Sorting

Stable: No

Pixel Selection Sorting on cat

Efficient sort

Pixel Shell Sorting

Stable: No

Pixel Shell Sorting on cat

Pixel Quick Sorting

Stable: No (I know there are stable versions, but not this one)

Pixel Quick Sorting on cat

Pixel Merge Sorting

Stable: Yes

Pixel Merge Sorting on cat

Pixel Heap Sorting

Stable: No

Pixel Heap Sorting on cat

Pixel Counting Sorting

Stable: Yes

Pixel Counting Sorting on cat

Pixel Radix LSD (least significant digit) Sorting

Stable: Yes

Pixel Radix LSD (least significant digit) Sorting on cat

Extra sorting stuff

Controlled Pixel Sorting by each horizontal line

Each line is individually sorted using quicksort. It chooses how the line is sorted, the direction of sorting and how much of the line must be sorted using quicksort lower and higher indexes parameter variables. The sorting can be controlled by mouse movements over the image or put in autoloop, where it will use all the sorting direction and sorting methods (hue or brightness) for each cycle.

To save an image at any point just press ' ' (space bar).

Stable: No (quicksort)

Pixel Sorting visualization for each horizontal line individually on cat

Controlled Pixel Sorting by each vertical line

Basically the same as above is applied here.

Stable: No (quicksort)

Pixel Sorting visualization for each vertical line individually on cat

- - -

[ Visualizing a stable sort against an unstable ]

If you check the pixels sorted by a stable algorithm for the same image, they will be the same. The same image sorted by an unstable algorithm will result in different configurations. Check below the sunflower image sorted by brightness using the insertion and merge methods. They are the same:

sunflower Pixels Sorted By brightness insert sort sunflower Pixels Sorted By brightness Merge sort

Now compare the same image sorted respectively by quicksort and shellsort below:

sunflower Pixels Sorted By brightness quicksort sunflower Pixels Sorted By brightness shellsort

You can see that the image from quicksort and shellsort are different from the stable sorters and also different from each other.

               __________________________
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       '%]\\      :   '-(  )_____.'
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         7    k\      '--'\__/ \ \
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                                 \ \

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[ all code available under MIT License - feel free to use. ]