Fundamentals of robotics: 2D problems

Average Problem Difficulty:

These problems are concerned with the fundamental concepts that underpin robotics: how do we represent the position and orientation of objects in space.
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.
Some resources to help learn about this subject matter can be found at the Robot Academy, there are over 200 short video lessons.

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	3	155
Problem 44820. Relative pose in 2D: problem 2 Created by: Peter Corke Tags homogeneous transformation, pose, orientation	1	95
Problem 44823. Relative points in 2D: problem 1 Created by: Peter Corke Tags pose, homogenous transformation, relative pose	4	99
Problem 44824. Relative points in 2D: problem 2 Created by: Peter Corke Tags homogeneous transformation, pose, relative pose	2	62
Problem 44825. Relative points in 2D: problem 3 Created by: Peter Corke Tags homogeneous transformation, pose, relative pose	1	54
Problem 44837. Composing relative poses in 2D: problem 1 Created by: Peter Corke Tags composition, homogeneous transformation	2	57
Problem 44831. Composing relative poses in 2D: problem 2 Created by: Peter Corke Tags composition, homogenous transformation, )	1	48
Problem 44838. Pose from bearing angles in 2D Created by: Peter Corke Tags homogeneous transformation, resection	2	17
Problem 44828. Pose interpolation in 2D Created by: Peter Corke Tags interpolation, homogeneous transformation	1	26
Problem 44830. Twists in 2D Created by: Peter Corke Tags matrix exponential, homogeneous transformation	1	15

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	AKRN submitted Solution 14603097 to Problem 44820. Relative pose in 2D: problem 2 on 8 Apr 2025 at 17:08
	AKRN submitted Solution 14602987 to Problem 44820. Relative pose in 2D: problem 2 on 8 Apr 2025 at 16:09
	AKRN submitted Solution 14602937 to Problem 44819. Relative pose in 2D: problem 1 on 8 Apr 2025 at 15:44
	AKRN submitted Solution 14602936 to Problem 44819. Relative pose in 2D: problem 1 on 8 Apr 2025 at 15:43
	Alex submitted Solution 14570956 to Problem 44820. Relative pose in 2D: problem 2 on 9 Mar 2025

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