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Home/ Questions/Q 428503
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Editorial Team
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Editorial Team
Asked: May 12, 20262026-05-12T19:40:57+00:00 2026-05-12T19:40:57+00:00

Let’s say i have a 2d linear grid and a point in said grid.

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Let’s say i have a 2d linear grid and a point in said grid. How do i map the point from that grid into a related non-linear grid?

example image

The red dot is the point in the regular grid and i want to know how to figure out where the point would go in a similar deformed grid (an example one is shown). I’m thinking of using the difference between the points in the non-deformed grid and the deformed one to derive a solution but i’m not sure how.

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  1. Editorial Team
    Editorial Team
    2026-05-12T19:40:58+00:00Added an answer on May 12, 2026 at 7:40 pm

    You might want to read up on Affine transformations. There isn’t much magic going on here, just a little translation and shearing. This is all done just with a matrix multiplication for the coordinate pairs (in homogenous coordinates), so it’s very easy to do. But can be a little hard to understand 🙂

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