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Fix homogeneous transformation eq., typos, and remark about last row of ho. tr. matrix #30

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merged 2 commits into from
Nov 9, 2020

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goekce
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@goekce goekce commented Nov 9, 2020

Here are minor fixes @correll . Can you please check them?

I also saw that the last row [0 0 0 1] of the transformation matrix is not required to integrate translation and rotation in a single operation. We could throw the last row away and the 3x4 matrix would still rotate and translate. Am I right?

It would be great to clarify why we still take the 4x4 instead of 3x4 matrix.

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correll commented Nov 9, 2020

If you throw the last row away, it will still transform a 4x1 coordinate into a 3x1 coordinate:

3x1 = 3x4 * 4x1

but you do need your variables in 4x1 format to use them in this framework. This is why we are using a 4x4 matrix and get

4x1 = 4x4 * 4x1

@correll correll closed this Nov 9, 2020
@correll correll reopened this Nov 9, 2020
@correll correll merged commit 14df2f4 into Introduction-to-Autonomous-Robots:master Nov 9, 2020
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