Question

Let's say I know two points that make up a line. I want to know the points in which this line goes through a matrix or a drawable of an image (both of which I have access to, so whichever one would be easier to use is welcome). Any ideas on how I can do this?

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Solution

The starting point for you would be a line drawing algorithm. There are many line drawing algorithms. Check the wiki page.

dx = x2 - x1
dy = y2 - y1
for x from x1 to x2 {
        y = y1 + (dy) * (x - x1)/(dx)
        plot(x, y)
}

Given 2 pointsas input to this algorithm, it will plot all the points in-between them. The points can be then mapped to the image in question.

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