Fundamentals of robotics: 2D problems

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>These problems are concerned with the fundamental concepts that underpin robotics: how do we represent the position and orientation of objects in space.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>This is a graduated set of problems that test your skills for the two-dimensional case (2D) which is highly relevant to mobile robotics where we consider a robot moving on a plane.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Some resources to help learn about this subject matter can be found at the </w:t></w:r><w:hyperlink w:docLocation=\"https://robotacademy.net.au\"><w:r><w:t>Robot Academy</w:t></w:r></w:hyperlink><w:r><w:t>, there are over 200 short video lessons.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t></w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: normal; 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: none solid rgb(0, 0, 0); white-space: normal; "><div style="display: block; min-width: 0px; padding-top: 0px; perspective-origin: 289.5px 97.5px; transform-origin: 289.5px 97.5px; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; perspective-origin: 266.5px 21px; transform-origin: 266.5px 21px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">These problems are concerned with the fundamental concepts that underpin robotics: how do we represent the position and orientation of objects in space.</span></span></div><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; perspective-origin: 266.5px 31.5px; transform-origin: 266.5px 31.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">This is a graduated set of problems that test your skills for the two-dimensional case (2D) which is highly relevant to mobile robotics where we consider a robot moving on a plane.</span></span></div><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; perspective-origin: 266.5px 21px; transform-origin: 266.5px 21px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Some resources to help learn about this subject matter can be found at the </span></span><a target='_blank' href = 'https://robotacademy.net.au/'><span style=""><span style="">Robot Academy</span></span></a><span style="display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">, there are over 200 short video lessons.</span></span></div><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; perspective-origin: 266.5px 10.5px; transform-origin: 266.5px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""></span></span></div></div></div>

Fundamentals of robotics: 2D problems Master

+50 points

Problem Title	Likes	Solvers
Problem 44819. Relative pose in 2D: problem 1 Created by: Peter Corke Tags robotics, homogeneous transformation, pose	2	79
Problem 44823. Relative points in 2D: problem 1 Created by: Peter Corke Tags pose, homogenous transformation, relative pose	1	46
Problem 44820. Relative pose in 2D: problem 2 Created by: Peter Corke Tags homogeneous transformation, pose, orientation	1	37
Problem 44823. Relative points in 2D: problem 1 Created by: Peter Corke Tags pose, homogenous transformation, relative pose	1	46
Problem 44824. Relative points in 2D: problem 2 Created by: Peter Corke Tags homogeneous transformation, pose, relative pose	1	28
Problem 44825. Relative points in 2D: problem 3 Created by: Peter Corke Tags homogeneous transformation, pose, relative pose	1	18
Problem 44837. Composing relative poses in 2D: problem 1 Created by: Peter Corke Tags composition, homogeneous transformation	1	21
Problem 44831. Composing relative poses in 2D: problem 2 Created by: Peter Corke Tags composition, homogenous transformation	1	27
Problem 44838. Pose from bearing angles in 2D Created by: Peter Corke Tags homogeneous transformation, resection	2	13
Problem 44828. Pose interpolation in 2D Created by: Peter Corke Tags interpolation, homogeneous transformation	1	11
Problem 44830. Twists in 2D Created by: Peter Corke Tags matrix exponential, homogeneous transformation	1	8

Recent Group Finishers7

Recent Activity

	Rafael S.T. Vieira submitted Solution 2944915 to Problem 44830. Twists in 2D on 14 Sep 2020 at 2:53
	Rafael S.T. Vieira submitted Solution 2944876 to Problem 44828. Pose interpolation in 2D on 14 Sep 2020 at 2:25
	Rafael S.T. Vieira submitted Solution 2944810 to Problem 44838. Pose from bearing angles in 2D on 14 Sep 2020 at 1:59
	Rafael S.T. Vieira submitted Solution 2944645 to Problem 44831. Composing relative poses in 2D: problem 2 on 14 Sep 2020 at 0:29
	Rafael S.T. Vieira submitted Solution 2941816 to Problem 44837. Composing relative poses in 2D: problem 1 on 13 Sep 2020 at 2:44