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## Copyright (C) 2024 David Legland
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
## notice, this list of conditions and the following disclaimer in the
## documentation and/or other materials provided with the distribution.
##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
##
## The views and conclusions contained in the software and documentation are
## those of the authors and should not be interpreted as representing official
## policies, either expressed or implied, of the copyright holders.
function line = createLine3d(varargin)
%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
% lines3d
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2005-02-17
% Copyright 2005-2023 INRA - TPV URPOI - BIA IMASTE
% NOTE : A 3d line can also be represented with a 1*7 array :
% [x0 y0 z0 dx dy dz t].
% whith 't' being one of the following :
% - t=0 : line is a singleton (x0,y0)
% - t=1 : line is an edge segment, between points (x0,y0) and (x0+dx,
% y0+dy).
% - t=Inf : line is a Ray, originated from (x0,y0) and going to infinity
% in the direction(dx,dy).
% - t=-Inf : line is a Ray, originated from (x0,y0) and going to infinity
% in the direction(-dx,-dy).
% - t=NaN : line is a real straight line, and contains all points
% verifying the above equation.
% This seems to be a convenient way to represent uniformly all kind of
% lines (including edges, rays, and even point).
%
% NOTE2 : Another form is the 1*8 array :
% [x0 y0 z0 dx dy dz t1 t2].
% with t1 and t2 giving first and last position of the edge on the
% supporting straight line, and with t2>t1.
if length(varargin)==1
error('Wrong number of arguments in ''createLine'' ');
elseif length(varargin)==2
% 2 input parameters. They can be :
% - 2 points, then 2 arrays of 1*2 double.
v1 = varargin{1};
v2 = varargin{2};
if size(v1, 2)==3
% first input parameter is first point, and second input is the
% second point.
line = [v1(:,1) v1(:,2) v1(:,3) v2(:,1)-v1(:,1) v2(:,2)-v1(:,2) v2(:,3)-v1(:,3)];
elseif size(v1, 2)==1
% first parameter is angle with the vertical
% second parameter is horizontal angle with Ox axis
theta = varargin{1};
phi = varargin{2};
sit = sin(theta);
p0 = zeros([size(theta, 1) 3]);
line = [p0 cos(phi)*sit sin(phi)*sit cos(theta)];
end
elseif length(varargin)==3
% 3 input parameters :
% first parameter is a point of the line
% second parameter is angle with the vertical
% third parameter is horizontal angle with Ox axis
p0 = varargin{1};
theta = varargin{2};
phi = varargin{3};
if size(p0, 2)~=3
error('first argument should be a 3D point');
end
sit = sin(theta);
line = [p0 cos(phi)*sit sin(phi)*sit cos(theta)];
elseif length(varargin)==4
% 4 input parameters :
p0 = varargin{1};
dx = varargin{2};
dy = varargin{3};
dz = varargin{4};
if size(p0, 2)~=3
error('first argument should be a 3D point');
end
line = [p0 dx dy dz];
elseif length(varargin)==5
% 5 input parameters :
% first parameter is distance of lin to origin
% second parameter is angle with the vertical
% third parameter is horizontal angle with Ox axis
x0 = varargin{1};
y0 = varargin{1};
z0 = varargin{1};
theta = varargin{2};
phi = varargin{3};
sit = sin(theta);
line = [x0 y0 z0 cos(phi)*sit sin(phi)*sit cos(theta)];
elseif length(varargin)==6
% 6 input parameters, given as separate arguments for x0, y0, z0 and
% dx, dy and dz
% (not very useful, but anyway...)
x0 = varargin{1};
y0 = varargin{2};
z0 = varargin{3};
dx = varargin{4};
dy = varargin{5};
dz = varargin{6};
line = [x0 y0 z0 dx dy dz];
end
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