Re: Euler angles
Angus Dorbie (dorbie++at++sgi.com)
Wed, 13 May 1998 12:56:56 -0700
Alejandro Saez wrote:
>
> On May 13, 2:55pm, Stefano Conconi wrote:
> > Subject: Euler angles
> > Hi,
> > Could some one tell me somethinghs about the transformation between
> >
> > Euler parameters - Euler angles- Yaw Pitch and Roll
> >
> > for the orientation of an object?
> >
> > Which algorithms I can use to do this transformation?
> >
> > Or where can I find some usefull links about all of this kind of
> > orientation rappresentation?
> > --
> > -----------------------------------------------------------------
> > Ing. Stefano Conconi
> > STIGMA On-Line S.r.l.
> > PAVIA - Italy
> > -----------------------------------------------------------------
> > E-Mail: conconi++at++stigma.it Phone: +39 (0382) 578948-9
> > WWW: http://www.stigma.it Fax: +39 (0382) 577902
> >
> >
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> >-- End of excerpt from Stefano Conconi
>
> They are the basically same thing, euler angles is just a way of representing
> an object's orientation, and they are basically the angles along the principal
> axis (x,y and Z), which is the definition of Pitch, yaw and Roll. Now a lot of
> confusion usually arises because of the definition of what is positive X,
> positive Y and positive Z, and also what is considered to be a positive
> rotation (either left or right hand) and also which positive axis is the
> "heading". This gives A LOT of different ways of representing the same thing.
> For example:
>
> Classical Flight Simulation:
>
> +X left
> +Y away from observer
> +Z down
> right hand angles
> +X is "move forward"
>
> Foley,
>
> +X left
> +Y up
> +Z from screen towards observer
> right hand angles
> +X is forward
>
> Performer (not sure, but I think)
> +X left
> +Y from screen towards observer
This is wrong, Y is from observer into screen.
> +Z up
> right hand rule
> etc,
>
> This is just to show that although each and every one of this systems
> use Yaw, Pitch and Roll (that is Euler angles) you would end up with totally
> different rotation matrices for the same, say, Yaw angle, this sometimes leads
> to some confusion.
>
> Hope this helps,
>
> --
> ------------------------------------------------------------------------
> Alejandro Saez
> Software Engineer
> Silicon Chile S.A.
> Avda. Andres Bello 2777, Of. 602
> E-mail: asaez++at++silicon.cl Providencia
> Phone: +56 (2) 203 3371 Ext. 105 Santiago
> Fax: +56 (2) 203 3370 Chile
> ------------------------------------------------------------------------
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on Mon Aug 10 1998 - 17:57:24 PDT