Home > General-Functions > Geometry > calc_Gammadual.m

calc_Gammadual

PURPOSE ^

% dual Plückermatrix from Plücker vector

SYNOPSIS ^

function G = calc_Gammadual (L)

DESCRIPTION ^

% dual Plückermatrix from Plücker vector
 see PCV (5.134)

 Usage
   G = calc_Gamma (L)

   L - 6x1 Plücker Line
   G - 4x1 dual Gamma Matrix / dual Plückermatrix

 Wolfgang Förstner
 wfoerstn@uni-bonn.de 

 See also calc_Gamma, calc_Gamma_reduced, calc_Gammadual_reduced,
 calc_Pi, calc_Pidual, calc_Dual

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% dual Plückermatrix from Plücker vector
0002 % see PCV (5.134)
0003 %
0004 % Usage
0005 %   G = calc_Gamma (L)
0006 %
0007 %   L - 6x1 Plücker Line
0008 %   G - 4x1 dual Gamma Matrix / dual Plückermatrix
0009 %
0010 % Wolfgang Förstner
0011 % wfoerstn@uni-bonn.de
0012 %
0013 % See also calc_Gamma, calc_Gamma_reduced, calc_Gammadual_reduced,
0014 % calc_Pi, calc_Pidual, calc_Dual
0015 
0016 
0017 function G = calc_Gammadual (L)
0018 
0019 G= ...
0020 [...
0021        0     L(3) -L(2) -L(4); ...
0022       -L(3)  0     L(1) -L(5); ...
0023        L(2) -L(1)  0    -L(6); ...
0024        L(4)  L(5)  L(6)  0 ...
0025 ];
0026

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