Make dla with circles instead of pixels

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george korris 2023-2-2

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评论： William Rose 2023-2-12

Hi everyone I have a code for 2D DLA but it adds pixels to an initial pixel and I would like them to not be pixels but small squares or small circles instead. I have managed to make the initial area to which the pixels from the dla are added a square or a circle but I cant find a way to add circles or other squares to it.

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Answer 1

William Rose 2023-2-6

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dla2Dcircle.m

@george korris,

Here is a script that does what I think you are requesting. Each monomer in the aggregate is represented by a circle. I will use 3 figures to illustrate this:

Above: Possible circles to use for each monomer, ranging from diameter d=6 pixels to d=20 pixels.

Above: Aggregate array with d=10. Inset: original aggregate, 1 pixel per monomer.

Above: Aggregate array with d=20. Inset: original aggregate, 1 pixel per monomer.

I think the image with d=10 is just as good as the one with d=20, so I recommend it, since it takes up 4 times less memory than the image with d=20. You can change d in the script, run it, and decide.

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William Rose 2023-2-12

@george korris, It sounds like you are really thinking of a 3D aggregate.

The current script builds the aggregate out of identical elements that can "stick" at the N, E, S, or W sides of other monomers in the aggregate. Thien the script represents those monomers as a bunch of circles that touch one another. If I were to build aggregates out of monomers that get smaller as the aggregate grows outward, then I would start over. I would no longer represent the aggregate as a 2D array of values that are 0 or 1. Instead, I would consider saving it as a structure array whose size increases by 1 each time a new monomer is added. Each element of the array represents one monomer in the structure. Each element would contain the radius of that particular monomer and its location (x,y coordinates of its center). THen the aggregate would grow one monomer at a time, each new monomer would be a little bit smaller than the one before. You will have to develop a growth routine: how do you model the griwth process. It sounds challenging.

What aggregate grows this way? I did not encounter such aggregates when I worked in the polymers department of a big chemical company.

george korris 2023-2-12