Problem 44825. Relative points in 2D: problem 3

Created by Peter Corke

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"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:pPr><w:r><w:t>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 observed by the robot, as a bearing angle relative to its x-axis (in degrees and increasing counter clockwise) and a range. What is the coordinate of the landmark with respect to the world coordinate frame?</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

287 Solutions
41 Solvers

Last Solution submitted on Mar 05, 2023

Last 200 Solutions

Problem Comments

Solution Comments

Solution 2058634

4 Comments

4 Comments

Show 1 older comment

Qiaowen on 16 Dec 2019

PB =[range*cosd(bearing);range*sind(bearing);1] ;
P=T*PB;
P=P(1:2,:);

Qiaowen on 16 Dec 2019

i don't know why it does not work

Juvva Vijayendra Bharath on 22 Aug 2020

r = range;
a = bearing;
C = T * [ r*cosd(a); r*sind(a); 1 ];
PB = C(1:2, 1);
could someone explain why this solution is wrong!

carlos fuentes on 28 Jan 2021

Why do we have to use the inv(T) to make it work? I think it should use T instead.

Problem Recent Solvers41

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 44825. Relative points in 2D: problem 3

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers41

Suggested Problems

More from this Author16

Problem Tags

Community Treasure Hunt

Problem 44825. Relative points in 2D: problem 3

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers41

Suggested Problems

More from this Author16

Problem Tags

Community Treasure Hunt

Players