Subject:
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Re: matrix calculation at part inlining
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Newsgroups:
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lugnet.cad
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Date:
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Wed, 12 Dec 2007 23:13:00 GMT
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Viewed:
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2839 times
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In lugnet.cad, Michael Heidemann wrote:
> Please I need help.
>
> How to inline line type 2,3,4 and 5 is explained in the current
> specification of the LDraw File Format like:
>
> Formally, the transformed point (u', v', w') can be calculated from
> point (u, v, w) as follows:
>
> u' = a*u + b*v + c*w + x
> v' = d*u + e*v + f*w + y
> w' = g*u + h*v + i*w + z
>
> But I do not know how to calculate line type 1 values.
Put a-i and xyz into matrix form for the parent and child type 1 lines, then
multiply the two matrices together, then extract a-i and xyz from the resulting
matrix. The matrices will look like either of the following:
/ a d g 0 \ / a b c x \
| b e h 0 | | d e f y |
| c f i 0 | | g h i z |
\ x y z 1 / \ 0 0 0 1 /
Just pick one of the above, and then be consistent. If I remember correctly,
you'll get something like so (using the first form above):
a' = a1*a2 + d1*b2 + g1*c2 + 0*x2
b' = b1*a2 + e1*b2 + h1*c2 + 0*x2
...
z' = x1*g2 + y1*h2 + z1*i2 + 1*0
--Travis
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Message is in Reply To:
 | | matrix calculation at part inlining
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| Please I need help. How to inline line type 2,3,4 and 5 is explained in the current specification of the LDraw File Format like: Formally, the transformed point (u', v', w') can be calculated from point (u, v, w) as follows: u' = a*u + b*v + c*w + x (...) (17 years ago, 12-Dec-07, to lugnet.cad)
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