Thanks. I'll start coding that. What I can easily see is a way for
transforming POV 3-space into my own three space, but for what I need to
do, I need to convert back from my old three space into POV three space.

Josh
ryan constantine wrote:

> the inverse for any n by n matrix is as follows:
>
> given matrix A, the inverse, A^(-1) is
> (1/detA)*(Cij)^T
> where i and j are subscripts denoting matrix row and column,
> det stands for determinate,
> T stands for transpose,
> Cij=(-1)^(i+j)*Mij,
> Mij is the determinate of the (n-1) by (n-1) matrix formed by deleting
> the ith row and jth column from A.
>
> so in other words, given a 4 by 4 matrix:
>    ( a11 a12 a13 a14 )
>   (  a21 a22 a23 a24  )
> A=(  a31 a32 a33 a34  )
>    ( a41 a42 a43 a44 )
>
> A^(-1)=(1/detA)* ( C11 C21 C31 C41 )
>                 (  C12 C22 C32 C42  )
>                 (  C13 C23 C33 C43  )
>                  ( C14 C24 C34 C44 ) where C11,31,22,42,13,33,24,and 44
> are positive and the rest are negative.
>
> example of C11 (cross out row 1 and column 1):
>
>        (a22 a23 a24)
> C11=det(a32 a33 a34)
>        (a42 a43 a44)
> repeat this step for all C.

--
Josh English -- Lexiphanic Lethomaniac
eng### [at] spiritonecom
The POV-Ray Cyclopedia http://www.spiritone.com/~english/cyclopedia/

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