CREATELINE3D Create a line with various inputs.
Line is represented in a parametric form : [x0 y0 z0 dx dy dz]
x = x0 + t*dx
y = y0 + t*dy;
z = z0 + t*dz;
L = createLine3d(P1, P2);
Returns the line going through the two given points P1 and P2.
L = createLine3d(X0, Y0, Z0, DX, DY, DZ);
Returns the line going through the point [x0, y0, z0], and with
direction vector given by [DX DY DZ].
L = createLine3d(P0, DX, DY, DZ);
Returns the line going through point P0 given by [x0, y0, z0] and with
direction vector given by [DX DY DZ].
L = createLine3d(THETA, PHI);
Create a line originated at (0,0) and with angles theta and phi.
L = createLine3d(P0, THETA, PHI);
Create a line with direction given by theta and phi, and which contains
point P0.
Note : in all cases, parameters can be vertical arrays of the same
dimension. The result is then an array of lines, of dimensions [N*6].
See also
lines3d0001 function line = createLine3d(varargin) 0002 %CREATELINE3D Create a line with various inputs. 0003 % 0004 % Line is represented in a parametric form : [x0 y0 z0 dx dy dz] 0005 % x = x0 + t*dx 0006 % y = y0 + t*dy; 0007 % z = z0 + t*dz; 0008 % 0009 % 0010 % L = createLine3d(P1, P2); 0011 % Returns the line going through the two given points P1 and P2. 0012 % 0013 % L = createLine3d(X0, Y0, Z0, DX, DY, DZ); 0014 % Returns the line going through the point [x0, y0, z0], and with 0015 % direction vector given by [DX DY DZ]. 0016 % 0017 % L = createLine3d(P0, DX, DY, DZ); 0018 % Returns the line going through point P0 given by [x0, y0, z0] and with 0019 % direction vector given by [DX DY DZ]. 0020 % 0021 % L = createLine3d(THETA, PHI); 0022 % Create a line originated at (0,0) and with angles theta and phi. 0023 % 0024 % L = createLine3d(P0, THETA, PHI); 0025 % Create a line with direction given by theta and phi, and which contains 0026 % point P0. 0027 % 0028 % 0029 % Note : in all cases, parameters can be vertical arrays of the same 0030 % dimension. The result is then an array of lines, of dimensions [N*6]. 0031 % 0032 % See also 0033 % lines3d 0034 0035 % ------ 0036 % Author: David Legland 0037 % E-mail: david.legland@inrae.fr 0038 % Created: 2005-02-17 0039 % Copyright 2005-2024 INRA - TPV URPOI - BIA IMASTE 0040 0041 % NOTE : A 3d line can also be represented with a 1*7 array : 0042 % [x0 y0 z0 dx dy dz t]. 0043 % whith 't' being one of the following : 0044 % - t=0 : line is a singleton (x0,y0) 0045 % - t=1 : line is an edge segment, between points (x0,y0) and (x0+dx, 0046 % y0+dy). 0047 % - t=Inf : line is a Ray, originated from (x0,y0) and going to infinity 0048 % in the direction(dx,dy). 0049 % - t=-Inf : line is a Ray, originated from (x0,y0) and going to infinity 0050 % in the direction(-dx,-dy). 0051 % - t=NaN : line is a real straight line, and contains all points 0052 % verifying the above equation. 0053 % This seems to be a convenient way to represent uniformly all kind of 0054 % lines (including edges, rays, and even point). 0055 % 0056 % NOTE2 : Another form is the 1*8 array : 0057 % [x0 y0 z0 dx dy dz t1 t2]. 0058 % with t1 and t2 giving first and last position of the edge on the 0059 % supporting straight line, and with t2>t1. 0060 0061 if isscalar(varargin) 0062 error('Wrong number of arguments in ''createLine'' '); 0063 0064 elseif length(varargin)==2 0065 % 2 input parameters. They can be : 0066 % - 2 points, then 2 arrays of 1*2 double. 0067 v1 = varargin{1}; 0068 v2 = varargin{2}; 0069 if size(v1, 2)==3 0070 % first input parameter is first point, and second input is the 0071 % second point. 0072 line = [v1(:,1) v1(:,2) v1(:,3) v2(:,1)-v1(:,1) v2(:,2)-v1(:,2) v2(:,3)-v1(:,3)]; 0073 elseif size(v1, 2)==1 0074 % first parameter is angle with the vertical 0075 % second parameter is horizontal angle with Ox axis 0076 theta = varargin{1}; 0077 phi = varargin{2}; 0078 0079 sit = sin(theta); 0080 p0 = zeros([size(theta, 1) 3]); 0081 0082 line = [p0 cos(phi)*sit sin(phi)*sit cos(theta)]; 0083 end 0084 0085 elseif length(varargin)==3 0086 % 3 input parameters : 0087 % first parameter is a point of the line 0088 % second parameter is angle with the vertical 0089 % third parameter is horizontal angle with Ox axis 0090 p0 = varargin{1}; 0091 theta = varargin{2}; 0092 phi = varargin{3}; 0093 0094 if size(p0, 2)~=3 0095 error('first argument should be a 3D point'); 0096 end 0097 0098 sit = sin(theta); 0099 line = [p0 cos(phi)*sit sin(phi)*sit cos(theta)]; 0100 0101 elseif length(varargin)==4 0102 % 4 input parameters : 0103 p0 = varargin{1}; 0104 dx = varargin{2}; 0105 dy = varargin{3}; 0106 dz = varargin{4}; 0107 0108 if size(p0, 2)~=3 0109 error('first argument should be a 3D point'); 0110 end 0111 0112 line = [p0 dx dy dz]; 0113 elseif length(varargin)==5 0114 % 5 input parameters : 0115 % first parameter is distance of lin to origin 0116 % second parameter is angle with the vertical 0117 % third parameter is horizontal angle with Ox axis 0118 x0 = varargin{1}; 0119 y0 = varargin{1}; 0120 z0 = varargin{1}; 0121 theta = varargin{2}; 0122 phi = varargin{3}; 0123 0124 sit = sin(theta); 0125 line = [x0 y0 z0 cos(phi)*sit sin(phi)*sit cos(theta)]; 0126 0127 elseif length(varargin)==6 0128 % 6 input parameters, given as separate arguments for x0, y0, z0 and 0129 % dx, dy and dz 0130 % (not very useful, but anyway...) 0131 x0 = varargin{1}; 0132 y0 = varargin{2}; 0133 z0 = varargin{3}; 0134 dx = varargin{4}; 0135 dy = varargin{5}; 0136 dz = varargin{6}; 0137 0138 line = [x0 y0 z0 dx dy dz]; 0139 end