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### Highlights from Euler angle, DCM, Quaternion, and Euler Vector Conversion/Teaching GUI

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# Euler angle, DCM, Quaternion, and Euler Vector Conversion/Teaching GUI

18 May 2010 (Updated )

A GUI that helps users learn how Euler angles and other rotational data relate to one another.

File Information
Description

This is an instructional GUI to be used for learning how Euler angles, DCMs, quaternions, and Euler vector parameters relate in the rotation of cartesian frames (A to B). Can also be used to convert between all 4 values, however see below for a function that accomplishes this.

Features:
- All 12 sequences of Euler angle rotation types.
- Color coded axes and angle labeling for reference.
- Normalization of input Q or Euler vector components.
- Plotting options for viewing Euler angles or Euler vector separately.
- Error dialog box to prohibit faulty input or notify user of possible singularities.

For the function-based rotation conversion, please see SpinCalc:

http://www.mathworks.com/matlabcentral/fileexchange/20696-function-to-convert-between-dcm-euler-angles-quaternions-and-euler-vectors

Uses an enhanced uicontrol GUI function for support of LaTeX formatting:
Function uibutton, Author: Douglas Schwarz

This is my first venture at a GUI so if there are bugs, please let me know.

Acknowledgements
MATLAB release MATLAB 8.0 (R2012b)
06 Feb 2014

You programmed
6 Tait–Bryan angles (x-y-z, y-z-x, z-x-y, x-z-y, z-y-x, y-x-z)
and
6 Euler angles (z-x-z, x-y-x, y-z-y, z-y-z, x-z-x, y-x-y)

In your program, the Euler angles cannot handle negative values though! ...

26 Oct 2012

MathWorks also has their own examples of implementing <a href="www.mathworks.com/discovery/euler-angles.html"> euler angles </a>.

08 Sep 2011