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 CAD / Ray-Tracing / 2770
    Re: Inverse matrix? —Timothy Gould
   (...) The inverse of <1,0,0,0,1,0,0,0,1,0,0,0> is itself. To compute the inverse of a general 3x3 matrix (essentially what you need to do) is rather complicated. You could do it in a macro using Gaussian elimination [1]. Tim [1] (URL) (18 years ago, 7-Apr-07, to lugnet.cad.ray, lugnet.cad)
   
        Re: Inverse matrix? —James Reynolds
   (...) Arg. I thought this was going to be easy. I liked this part of the wikipedia article: "In practice, inverting a matrix is rarely required. Most of the time, one is really after the solution of a particular system of linear equations." Hm. I (...) (18 years ago, 7-Apr-07, to lugnet.cad.ray, lugnet.cad)
   
        Re: Inverse matrix? —James Reynolds
   Clarification! .... snip (...) I am using additional points to specify the location of feet. Combined with the model location, I have 3 points for the hip and feet. [now the following paragraph should make more sense] (...) (18 years ago, 7-Apr-07, to lugnet.cad.ray, lugnet.cad)
   
        Re: Inverse matrix? —Timothy Gould
   (...) Just take the transpose of the 3x3 world rotation matrix and it should work as the inverse. Transpose means swap diagonals M[1,2] <=> M[2,1] etc. If this doesn't work I've misunderstood you. Tim (18 years ago, 7-Apr-07, to lugnet.cad.ray, lugnet.cad)
   
        Re: Inverse matrix? —Timothy Gould
   (...) I mean swap the OFF-diagonals, leave the diagonals as is. (...) (18 years ago, 7-Apr-07, to lugnet.cad.ray, lugnet.cad)
   
        Re: Inverse matrix? —James Reynolds
   (...) I learned my matrix math from a 3d game programming book and I have no idea what the diagonals are... I was going to look it up but I got Travis' code to work! (URL) might still look it up as I may need to know about it) James (18 years ago, 7-Apr-07, to lugnet.cad.ray, lugnet.cad)
   
        Re: Inverse matrix? —James Reynolds
   (...) Did you mean this: [ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 ] [ 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 ] I have yet to try it. James (18 years ago, 8-Apr-07, to lugnet.cad.ray, lugnet.cad)
   
        Re: Inverse matrix? —James Reynolds
   (...) Well I'll be! That works too! Thanks you guys! James (18 years ago, 8-Apr-07, to lugnet.cad.ray, lugnet.cad)
   
        Re: Inverse matrix? —James Reynolds
   The latest: (URL) (18 years ago, 8-Apr-07, to lugnet.cad.ray, lugnet.cad)
 

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