Learn how easy it is to sync an existing GitHub or Google Code repo to a SourceForge project! See Demo

Close

[fc6c4c]: inst / geom2d / medianLine.m Maximize Restore History

Download this file

medianLine.m    139 lines (126 with data), 4.6 kB

  1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
## 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.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{line} = } medianLine (@var{p1}, @var{p2})
## @deftypefnx {Function File} {@var{line} = } medianLine (@var{pts})
## @deftypefnx {Function File} {@var{line} = } medianLine (@var{edge})
## Create a median line between two points.
##
## Create the median line of points @var{p1} and @var{p2}, that is the line containing
## all points located at equal distance of @var{p1} and @var{p2}.
##
## Creates the median line of 2 points, given as a 2*2 array @var{pts}. Array has
## the form:
## [ [ x1 y1 ] ; [ x2 y2 ] ]
##
## Creates the median of the @var{edge}. @var{edge} is a 1*4 array, containing [X1 Y1]
## coordinates of first point, and [X2 Y2], the coordinates of the second
## point.
##
## Example
##
## @example
## # Draw the median line of two points
## P1 = [10 20];
## P2 = [30 50];
## med = medianLine(P1, P2);
## figure; axis square; axis([0 100 0 100]);
## drawEdge([P1 P2], 'linewidth', 2, 'color', 'k');
## drawLine(med)
##
## # Draw the median line of an edge
## P1 = [50 60];
## P2 = [80 30];
## edge = createEdge(P1, P2);
## figure; axis square; axis([0 100 0 100]);
## drawEdge(edge, 'linewidth', 2)
## med = medianLine(edge);
## drawLine(med)
## @end example
##
## @seealso{lines2d, createLine, orthogonalLine}
## @end deftypefn
function lin = medianLine(varargin)
nargs = length(varargin);
x0 = 0;
y0 = 0;
dx = 0;
dy = 0;
if nargs == 1
tab = varargin{1};
if size(tab, 2)==2
# input is an array of two points
x0 = tab(1,1);
y0 = tab(1,2);
dx = tab(2,1)-x0;
dy = tab(2,2)-y0;
else
# input is an edge
x0 = tab(:, 1);
y0 = tab(:, 2);
dx = tab(:, 3) - tab(:, 1);
dy = tab(:, 4) - tab(:, 2);
end
elseif nargs==2
# input is given as two points, or two point arrays
p1 = varargin{1};
p2 = varargin{2};
x0 = p1(:, 1);
y0 = p1(:, 2);
dx = bsxfun(@minus, p2(:, 1), x0);
dy = bsxfun(@minus, p2(:, 2), y0);
else
error('Too many input arguments');
end
# compute median using middle point of the edge, and the direction vector
# rotated by 90 degrees counter-clockwise
lin = [bsxfun(@plus, x0, dx/2), bsxfun(@plus, y0, dy/2), -dy, dx];
endfunction
%!shared privpath
%! privpath = [fileparts(which('geom2d_Contents')) filesep() 'private'];
%!test
%! addpath (privpath,'-end')
%! p1 = [0 0];
%! p2 = [10 0];
%! exp = [5 0 0 10];
%! lin = medianLine(p1, p2);
%! assertElementsAlmostEqual(exp, lin);
%! rmpath (privpath);
%!test
%! addpath (privpath,'-end')
%! p1 = [0 0];
%! p2 = [10 0];
%! exp = [5 0 0 10];
%! lin = medianLine([p1 p2]);
%! assertElementsAlmostEqual(exp, lin);
%! rmpath (privpath);
%!test
%! addpath (privpath,'-end')
%! p1 = [0 0; 10 10];
%! p2 = [10 0;10 20];
%! exp = [5 0 0 10; 10 15 -10 0];
%! lin = medianLine(p1, p2);
%! assertElementsAlmostEqual(exp, lin);
%! rmpath (privpath);