--- ray/src/util/disk2square.cal 2014/07/22 23:21:56 2.2 +++ ray/src/util/disk2square.cal 2014/07/25 16:58:20 2.3 @@ -1,4 +1,4 @@ -{ RCSid $Id: disk2square.cal,v 2.2 2014/07/22 23:21:56 greg Exp $ } +{ RCSid $Id: disk2square.cal,v 2.3 2014/07/25 16:58:20 greg Exp $ } { Convert between unit square and disk, using Shirley-Chiu mapping @@ -65,7 +65,7 @@ out_square_y = (out_square_b + 1)/2; The following forumulas compute Shirley-Chiu bin "scbin" based on: Dx,Dy,Dz - Incident direction (normalized, towards surface front) - Nx,Ny,Nz - Surface normal (normalized, away from surface) + rNx,rNy,rNz - Surface normal (normalized, away from surface) Ux,Uy,Uz - Up direction vector (does not need to be normalized) The SCdim variable assigns the square side dimension for bins, which are @@ -73,11 +73,11 @@ out_square_y = (out_square_b + 1)/2; } { Compute oriented axis values } -inc_dz = -Dx*Nx-Dy*Ny-Dz*Nz; -inc_rx = -Dx*(Uy*Nz-Uz*Ny) - Dy*(Uz*Nx-Ux*Nz) - Dz*(Ux*Ny-Uy*Nx); -inc_ry = -Dx*Ux-Dy*Uy-Dz*Uz - inc_dz*(Nx*Ux+Ny*Uy+Nz*Uz); +inc_dz = -Dx*rNx-Dy*rNy-Dz*rNz; +inc_rx = -Dx*(Uy*rNz-Uz*rNy) - Dy*(Uz*rNx-Ux*rNz) - Dz*(Ux*rNy-Uy*rNx); +inc_ry = -Dx*Ux-Dy*Uy-Dz*Uz - inc_dz*(rNx*Ux+rNy*Uy+rNz*Uz); inc_den2 = inc_rx*inc_rx + inc_ry*inc_ry; -inc_radf = if(inc_den2-1e-7, sqrt((1 - inc_dz* inc_dz)/inc_den2), 0); +inc_radf = if(inc_den2-1e-7, sqrt((1 - inc_dz*inc_dz)/inc_den2), 0); { Pass to formulas in first section } in_disk_x = inc_rx*inc_radf; in_disk_y = inc_ry*inc_radf;