Recent content by aadster

I'll add to this as I progress, but interestingly Wolfram Alpha could only solve this for the simplest factor Z: (only 2 occurances) Z = (a X Y+a (-X)-a Y+a-b X Y+b X-c X Y+c Y+d X Y-R)/(a X Y+a (-X)-a Y+a-b X Y+b X-c X Y+c Y+d X Y-e X Y+e X+e Y-e+f X Y-f X+g X Y-g Y-h X Y) Since factors...

to break this down further, this is the tri-linear equation. R = ((1-Yd) * (p000 * (1-Xd) + p100 * Xd ) + (p010 * (1-Xd) + p110 * Xd ) * Yd) * (1-Zd) + ((1-Yd) * (p001 * (1-Xd) + p101 * Xd ) + (p011 * (1-Xd) + p111 * Xd ) * Yd) * Zd; where R is tri-linear interpolated result, P000-P111...

I'm trying to find the tri-linear interpolation parameters of a point C within a hexahedron of 3d vectors (C000, C100, C010, C011 etc) You could call this "inverse tri-linear interpolation" Ive used the same variable names as this wikipedia article...