Real-Time Physics Simulation Forum 2009-08-11T10:47:53+00:00 https://pybullet.org/Bullet/phpBB3/app.php/feed/topic/3340 2009-08-11T10:47:53+00:00 2009-08-11T10:47:53+00:00 https://pybullet.org/Bullet/phpBB3/viewtopic.php?p=14716#p14716 <![CDATA[Re: Possibly not the easiest CG question ever? Rotmat]]>
i for one like to distinguish between elements with the last component 0 (which are not affected by translation), which i think of as 'vectors' (since the space we are thinking in is 1 dimension less) and elements with the last component 1, which i think of as 'vertices' (so that 'vertex' - 'vertex' -> 'vector'). but i obviously haven't thought this through when you have a skew part.

Statistics: Posted by Hamstray — Tue Aug 11, 2009 10:47 am

]]> 2009-03-13T08:29:21+00:00 2009-03-13T08:29:21+00:00 https://pybullet.org/Bullet/phpBB3/viewtopic.php?p=12917#p12917 <![CDATA[Possibly not the easiest CG question ever? Rotmat]]>
Let's say we have a 2D system the we make a 3-dim rotation matrix, and we add a 1 in all our vectors to be able to calculate with them:

T = [r1 r2 tx, r3 r4 ty, s1 s2 sc] v = [x, y, 1]
r1 - r4 is the rotation cos -sin and so on, dx dy is translation in x and y.
But to my recollection s1, s2 were scew and sc where scale. However when I do the calculations:
T*v = [r1*x+r2*y+tx*1, r3*x+r4*y+ty*1, s1*x+s2*y+sc*1] = v2

So the translation works fine here, and also the rotation. But since this only is a 2d system didn't one just throw away the last element in the v2 vector? which is the one including the scew and the scale variable...

What am I missing?


(I write ',' for new line i.e:
T = [
r1 r2 tx
r3 r4 ty
s1 s2 sc
]

//Markus

PS. Placed it in this forum because it's a strictley mathematical problem

Statistics: Posted by mcan — Fri Mar 13, 2009 8:29 am

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