Problem 44823. Relative points in 2D: problem 1

Created by Peter Corke

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<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 63px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 31.5px; transform-origin: 407px 31.5px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 383.5px 8px; transform-origin: 383.5px 8px; unicode-bidi: normal; "><span style="">The 2D pose of a robot, with respect to a world coordinate frame {O}, is described by a 3x3 homogenous transform matrix T. A landmark point is described by a 2x1 coordinate vector P with respect to the world coordinate frame. What is the coordinate of the landmark with respect to the robot?</span></span></div></div></div>

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Last Solution submitted on Nov 22, 2021

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Peter Corke on 14 Mar 2020

Apologies, there was an error in my solution test. Fixed now

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Solution 2031576

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2 Comments

Qiaowen on 22 Nov 2019

i suppose the answer has some problems

Tikay on 13 Mar 2020

Yes, actually you have to get the inverse of the transformation matrix, but here it was forgotten, so that you have to use the given matrix and multiplicate, which brings you actually the wrong solution...

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Problem 44823. Relative points in 2D: problem 1

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Problem 44823. Relative points in 2D: problem 1

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Last 200 Solutions

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Problem Recent Solvers63

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