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Quaternion to Homogeneous Transformation

Converts a quaternion to a homogeneous transformation.

Library

QUARC Targets/Math Operations/Quaternions

MATLAB Command Line

Click to copy the following command line to the clipboard. Then paste it in the MATLAB Command Window:

qc_open_library('quarc_library/Math Operations/Quaternions')

Description

Quaternion to Homogeneous Transformation

The Quaternion to Homogeneous Transformation block converts a unit quaternion to a 4x4 homogeneous transformation.

The block assumes the input is a unit quaternion in order to reduce its computation time, particularly since most of the Quaternion blocks deal with unit quaternions. To normalize a quaternion in order to get a unit quaternion, use the Normalize block, which can normalize vectors or quaternions.

Input Ports

q

The input is the unit quaternion to convert to a homogeneous transformation.

Output Ports

4x4

The output is a 4x4 homogeneous transformation matrix. Multiplying this homogeneous transformation by an augmented vector (i.e. y = R [u 1]') will rotate the vector in the same way as the quaternion when the Quaternion Rotate Vector block is used.

Data Type Support

This block accepts inputs of type double. The block output is of type double.

Parameters and Dialog Box

Quaternion to Homogeneous Transformation

The Quaternion to Homogeneous Transformation block has no parameters.

Targets

Target Name

Compatible*

Model Referencing

Comments

QUARC Win32 Target

Yes

Yes

QUARC Win64 Target

Yes

Yes

QUARC Linux Nvidia Target

Yes

Yes

QUARC Linux QBot Platform Target

Yes

Yes

QUARC Linux QCar 2 Target

Yes

Yes

QUARC Linux QDrone 2 Target

Yes

Yes

QUARC Linux Raspberry Pi 3 Target

Yes

Yes

QUARC Linux Raspberry Pi 4 Target

Yes

Yes

QUARC Linux RT ARMv7 Target

Yes

Yes

QUARC Linux x64 Target

Yes

Yes

QUARC Linux DuoVero Target

Yes

Yes

QUARC Linux DuoVero 2016 Target

Yes

Yes

QUARC Linux Verdex Target

Yes

Yes

QUARC QNX x86 Target

Yes

Yes

Last fully supported in QUARC 2018.

Rapid Simulation (RSIM) Target

Yes

Yes

S-Function Target

No

N/A

Old technology. Use model referencing instead.

Normal simulation

Yes

Yes

* Compatible means that the block can be compiled for the target.

 

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