Maths - AxisAngle to Matrix

Maths - AxisAngle to Matrix - Tristen

From: "Tristen Georgiou"
To: "Martin Baker"
Subject: Axis and Angle
Date: 24 May 2002 19:31

To whom it may concern:

The following page

http://www.euclideanspace.com/threed/scenegraph/rotations/axis.htm

has a small error in the java code algorithm for converting Axis and Angle
to Matrix.

The errors occur in the following code (the bottom 9 lines) and are in red
font.

tmp1 = a1.x*a1.z*omc;
tmp2 = a1.y*s;
m02 = tmp1 - tmp2;
m12 = tmp1 + tmp2;

tmp1 = a1.x*a1.z*omc;
tmp2 = a1.y*s;
m20 = tmp1 + tmp2;
m21 = tmp1 - tmp2;

The corrected code follows with corrections in blue:

tmp1 = a1.x*a1.z*omc;
tmp2 = a1.y*s;
m02 = tmp1 - tmp2;
m20 = tmp1 + tmp2;

tmp1 = a1.x*a1.z*omc;
tmp2 = a1.x*s;
m12 = tmp1 + tmp2;
m21 = tmp1 - tmp2;

Tristen

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see also:

Correspondence about this page

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.

Introductory Techniques for 3-D Computer Vision by Emanuele Trucco, Alessandro Verri

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?

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progam

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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