Justinus Hartoyo

Last seen: 5 months ago | Active since 2021

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Determine roll pitch yaw angles from a 3D rotation matrix
Consider an aerospace application where the world reference coordinate frame {W} and a body-fixed coordinate frame {B}. The ori...

8 months ago

Solved

Invert a 3D rigid-body transformation
Given an SE(3) matrix representing a rigid-body motion, compute its inverse without using |inv()| or |pinv()| .

8 months ago

Solved

Invert a 3D rotation matrix
Given a 3D rotation matrix, belonging to the matrix group SO(3), compute its inverse without using the functions inv() or pinv()...

8 months ago

Solved

Relative points in 2D: problem 1
The 2D pose of a robot, with respect to a world coordinate frame {O}, is described by a 3x3 homogenous transform matrix T. A lan...

8 months ago

Solved

Relative pose in 2D: problem 2
We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There is a ...

8 months ago

Solved

Relative pose in 2D: problem 1
We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There is a...

8 months ago

Solved

Pose interpolation in 2D
Consider two poses represented by homogeneous transformation matrices: |T1| and |T2|. Write an algorithm to interpolate between...

10 months ago

Solved

Orientation of a 3D coordinate frame
The orientation of a body-fixed frame {B} with respect to the world frame {W} is described by an SO(3) rotation matrix. Compute...

10 months ago

Solved

Create a 3D rotation matrix
Consider an arbitrary coordinate frame {A}. Consider another coordinate frame {B} which has the same origin as {A} but is rotat...

10 months ago

Solved

Homogeneous lines and points in 2D: problem 1
In high school we learn the line equation y = mx + c where m is the gradient and c is the intercept. However this form is proble...

10 months ago

Solved

Create a 3D rotation matrix from roll-pitch-yaw angles
Consider a robotics application where the world reference coordinate frame {W} and a robot manipulator arm with an attached tool...

10 months ago

Solved

Composing relative poses in 2D: problem 2
We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There i...

10 months ago

Solved

Composing relative poses in 2D: problem 1
We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There i...

10 months ago

Solved

Relative points in 2D: problem 3
The 2D pose of a robot, with respect to a world coordinate frame {O}, is described by a 3x3 homogenous transform matrix T. A la...

10 months ago

Question

Why does the maximum scan/sampling rate differ significantly between MATLAB and Simulink Desktop Real Time?
I'm working with Simulink Desktop Real Time (SDRT) to receive analog inputs from sensors and send control signals. The DAQ board...

3 years ago | 1 answer | 0

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