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Division of a rectangle starting from a defined point inside the rectangle

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Omar Shadeed 2018-5-10

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关闭： MATLAB Answer Bot 2021-8-20

Hi everyone, I'm trying to divide a rectangle into n equal parts but starting from a defined point inside the rectangle. I have been able to divide it into n parts but now I want to do the same thing but starting from a point inside the rectangle. Thanks for your help.

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Walter Roberson 2018-5-10

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Are the equal parts required to be rectangular themselves? Are they required to be convex? Are they required to be identical?

When you say that it starts at a defined point, does that mean that the point just has to be on an edge of one of the pieces, or that it has to be one of the vertices?

Omar Shadeed 2018-5-10

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The equal parts have to be identical in the area with no other restrictions. That defined point has to be one of the vertices yeah

Walter Roberson 2018-5-10

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Do you need this as a theoretical division (continuous coordinates) or as an approximate division of a raster rectangle (each whole pixel belonging to one of the pieces, as equal as practical taking into account that the area might not be exactly divisible by n) ?

The raster version is perhaps easier to implement.

Ah, I just thought of a way for continuous coordinate: make the designated point the vertex around which you create "wedges" of the rectangle, each 1/n'th of the area. This would require a bit of care for the case where the wedge has to include a corner... I think it just might be possible that in some cases the wedge has to include two corners.

Omar Shadeed 2018-5-10

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I want it as an approximate division of a raster rectangle. The main thing is that these areas have to be equal to each other.

Walter Roberson 2018-5-10

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Do diagonal connections count as being part of the same piece, or does it have to be 4-connection (left/right/top/bottom) ?

Omar Shadeed 2018-5-11

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It has to be 4 connection

Image Analyst 2018-5-11

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Like I said below, why can't you use linspace()?

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Image Analyst 2018-5-11

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