Maths - Quaternions - Martin Baker

Maths - Quaternions - Open Forum Discussion

From: "Richard Henchman"
To: "Martin Baker"
Subject: mistake in quaternion rotation example
Date: 28 March 2003 21:31

Hi Martin,

You have a great page there that's really cleared up in mind quaternions and rotations and how to convert between them all.

I just noticed a mistake in your example of rotating the point (1,0,0) to (0,1,0) with a quaternion on the page

http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/index.htm

There were a few small mistakes in the maths e.g. ki = -j and then in your explanation, you said a negative angle gives anticlockwise rotation, but anticlockwise should be a positive rotation angle.

Cheers,

Richard

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Book Shop - Further reading.

Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them.

On Quaternions and Octonions

Quaternions and Rotation Sequences.

Other Math Books

Commercial Software Shop

Where I can, I have put links to Amazon for commercial software, not directly related to the software project, but related to the subject being discussed, click on the appropriate country flag to get more details of the software or to buy it from them.

Dark Basic Professional Edition - It is better to get this professional edition

This is a version of basic designed for building games, for example to rotate a cube you might do the following:
make object cube 1,100
for x=1 to 360
rotate object 1,x,x,0
next x

Game Programming with Darkbasic - book for above software

Discussion about using Darkbasic for physics simulation

Can you help?

Please send me any improvements to here. I would appreciate ideas to make the pages more useful including error correction, ideas for new pages, improvements to wording. It helps if you quote the full URL of the page.

Could anyone let me know of a good proof that a quaternion multiplication can be used to represent a rotation in 3 dimensions, I'm not looking for the shortest proof, but the most easily understood.

Terminology and Notation

Specific to this page here:

program

I am working on a project which uses these principles, if you would like to help me with this you are welcome to join in, here:

http://sourceforge.net/projects/mjbworld/

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