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

110 Solutions
18 Solvers

Last Solution submitted on Oct 01, 2020

Last 200 Solutions

Problem Comments

Solution Comments

Solution 2058634

3 Comments

3 Comments

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!

Problem Recent Solvers18

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 Solvers18

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 Solvers18

Suggested Problems

More from this Author16

Problem Tags

Community Treasure Hunt

Players