Subject:
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Re: LDraw File Format Spec 1.0 DRAFT - MATRIX section updated
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Newsgroups:
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lugnet.cad
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Date:
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Tue, 11 Sep 2007 19:09:00 GMT
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Viewed:
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4104 times
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In lugnet.cad, Travis Cobbs wrote:
> In lugnet.cad, Don Heyse wrote:
> > Hey, could you perhaps toss in the word "homogeneous" when describing that
> > matrix? I tend to find more complete explanations when I add that to my
> > internet searches.
>
> Before I do that, can someone tell me if a 3D transformation matrix that
> includes shear is still homogeneous?
Yes, the matrix is still homogeneous. In fact this page contains a nifty
explanation of how what we normally think of as a translation matrix is
actually a shear matrix where the extra w dimension added to make things
homogeneous is the fixed coordinate.
http://www.blancmange.info/notes/maths/vectors/homo/
Pretty neat, eh?
Enjoy,
Don
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Message has 1 Reply:
 | | Re: LDraw File Format Spec 1.0 DRAFT - MATRIX section updated
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| (...) OK, I updated the first "4x4 3D transformation matrix" to now be "4x4 homogeneous transformation matrix". I didn't feel that leaving 3D in there somewhere was practical. Because of this, I intentionally left the text alone two sentences later, (...) (17 years ago, 11-Sep-07, to lugnet.cad)
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