triarea3d

PURPOSE ^

[ta] = triarea3d(V);

SYNOPSIS ^

function [ta] = triarea3d(V);

DESCRIPTION ^

[ta] = triarea3d(V);

Function that calculates the area of a triangle 
in the 3D Cartesian space. 
V = the 3 x 3 coordinates matrix of the points, first
column for the xs and last for the zs.
ta = the area of the triangle

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 function [ta] = triarea3d(V);
0002 %[ta] = triarea3d(V);
0003 %
0004 %Function that calculates the area of a triangle
0005 %in the 3D Cartesian space.
0006 %V = the 3 x 3 coordinates matrix of the points, first
0007 %column for the xs and last for the zs.
0008 %ta = the area of the triangle
0009 
0010 p1 = [V(1,2) V(1,3) 1; V(2,2) V(2,3) 1; V(3,2) V(3,3) 1];      
0011 
0012 p2 = [V(1,3) V(1,1) 1; V(2,3) V(2,1) 1; V(3,3) V(3,1) 1];
0013 
0014 p3 = [V(1,1) V(1,2) 1; V(2,1) V(2,2) 1; V(3,1) V(3,2) 1];
0015  
0016 ta = 0.5 * sqrt((det(p1))^2 + (det(p2))^2 + (det(p3))^2) ;
0017 
0018 
0019 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
0020 % This is part of the EIDORS suite.
0021 % Copyright (c) N. Polydorides 2003
0022 % Copying permitted under terms of GNU GPL
0023 % See enclosed file gpl.html for details.
0024 % EIDORS 3D version 2.0
0025 % MATLAB version 5.3 R11
0026 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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