Fundamentals of robotics: 2D problems

Average Problem Difficulty:

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<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	104
Problem 44823. Relative points in 2D: problem 1 Created by: Peter Corke Tags pose, homogenous transformation, relative pose	3	68
Problem 44823. Relative points in 2D: problem 1 Created by: Peter Corke Tags pose, homogenous transformation, relative pose	3	68
Problem 44820. Relative pose in 2D: problem 2 Created by: Peter Corke Tags homogeneous transformation, pose, orientation	1	63
Problem 44820. Relative pose in 2D: problem 2 Created by: Peter Corke Tags homogeneous transformation, pose, orientation	1	63
Problem 44823. Relative points in 2D: problem 1 Created by: Peter Corke Tags pose, homogenous transformation, relative pose	3	68
Problem 44824. Relative points in 2D: problem 2 Created by: Peter Corke Tags homogeneous transformation, pose, relative pose	2	49
Problem 44825. Relative points in 2D: problem 3 Created by: Peter Corke Tags homogeneous transformation, pose, relative pose	1	37
Problem 44837. Composing relative poses in 2D: problem 1 Created by: Peter Corke Tags composition, homogeneous transformation	2	42
Problem 44831. Composing relative poses in 2D: problem 2 Created by: Peter Corke Tags composition, homogenous transformation	1	37
Problem 44838. Pose from bearing angles in 2D Created by: Peter Corke Tags homogeneous transformation, resection	2	15
Problem 44828. Pose interpolation in 2D Created by: Peter Corke Tags interpolation, homogeneous transformation	1	19
Problem 44830. Twists in 2D Created by: Peter Corke Tags matrix exponential, homogeneous transformation	1	12

Recent Group Finishers11

Recent Activity

	Dong Yuan submitted Solution 8558230 to Problem 44831. Composing relative poses in 2D: problem 2 on 20 Jun 2022 at 6:21
	Dong Yuan submitted Solution 8558140 to Problem 44824. Relative points in 2D: problem 2 on 20 Jun 2022 at 6:05
	Dong Yuan submitted Solution 8558110 to Problem 44837. Composing relative poses in 2D: problem 1 on 20 Jun 2022 at 6:02
	Dong Yuan submitted Solution 8558075 to Problem 44825. Relative points in 2D: problem 3 on 20 Jun 2022 at 5:54
	Dong Yuan submitted Solution 8557910 to Problem 44820. Relative pose in 2D: problem 2 on 20 Jun 2022 at 5:28

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