/usr/share/octave/packages/geometry-1.7.0/geom3d/transformPoint3d.m is in octave-geometry 1.7.0-1build1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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 | ## 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{pt2} =} transformPoint3d (@var{pt1}, @var{trans})
## @deftypefnx {Function File} {@var{pt2} =} transformPoint3d (@var{x1},@var{y1},@var{z1}, @var{trans})
## @deftypefnx {Function File} {[@var{x2},@var{y2},@var{z2}] =} transformPoint3d (@dots{})
## Transform a point with a 3D affine transform
##
## PT2 = transformPoint3d(PT1, TRANS);
## PT2 = transformPoint3d(X1, Y1, Z1, TRANS);
## where PT1 has the form [xp yp zp], and TRANS is a [3x3], [3x4], [4x4]
## matrix, return the point transformed according to the affine transform
## specified by TRANS.
##
## Format of TRANS is a 4-by-4 matrix.
##
## The function accepts transforms given using the following formats:
## [a b c] , [a b c j] , or [a b c j]
## [d e f] [d e f k] [d e f k]
## [g h i] [g h i l] [g h i l]
## [0 0 0 1]
##
## PT2 = transformPoint3d(PT1, TRANS)
## also work when PT1 is a [Nx3xMxPxETC] array of double. In this case,
## PT2 has the same size as PT1.
##
## PT2 = transformPoint3d(X1, Y1, Z1, TRANS);
## also work when X1, Y1 and Z1 are 3 arrays with the same size. In this
## case, PT2 will be a 1-by-3 cell containing @{X Y Z@} outputs of size(X1).
##
## [X2 Y2 Z2] = transformPoint3d(@dots{});
## returns the result in 3 different arrays the same size as the input.
## This form can be useful when used with functions like meshgrid or warp.
##
## @seealso{points3d, transforms3d, translation3d,meshgrid}
## @end deftypefn
function varargout = transformPoint3d(varargin)
# process input arguments
if length(varargin) == 2
# Point coordinates are given in a single N-by-3-by-M-by-etc argument.
# Preallocate x, y, and z to size N-by-1-by-M-by-etc, then fill them in
dim = size(varargin{1});
dim(2) = 1;
[x,y,z] = deal(zeros(dim,class(varargin{1})));
x(:) = varargin{1}(:,1,:);
y(:) = varargin{1}(:,2,:);
z(:) = varargin{1}(:,3,:);
trans = varargin{2};
elseif length(varargin) == 4
# Point coordinates are given in 3 different arrays
x = varargin{1};
y = varargin{2};
z = varargin{3};
dim = size(x);
trans = varargin{4};
end
# eventually add null translation
if size(trans, 2) == 3
trans = [trans zeros(size(trans, 1), 1)];
end
# eventually add normalization
if size(trans, 1) == 3
trans = [trans;0 0 0 1];
end
# convert coordinates
NP = numel(x);
try
# vectorial processing, if there is enough memory
#res = (trans*[x(:) y(:) z(:) ones(NP, 1)]')';
#res = [x(:) y(:) z(:) ones(NP, 1)]*trans';
res = [x(:) y(:) z(:) ones(NP,1,class(x))] * trans';
# Back-fill x,y,z with new result (saves calling costly reshape())
x(:) = res(:,1);
y(:) = res(:,2);
z(:) = res(:,3);
catch ME
disp(ME.message)
# process each point one by one, writing in existing array
for i = 1:NP
res = [x(i) y(i) z(i) 1] * trans';
x(i) = res(1);
y(i) = res(2);
z(i) = res(3);
end
end
# process output arguments
if nargout <= 1
# results are stored in a unique array
if length(dim) > 2 && dim(2) > 1
warning('geom3d:shapeMismatch',...
'Shape mismatch: Non-vector xyz input should have multiple x,y,z output arguments. Cell {x,y,z} returned instead.')
varargout{1} = {x,y,z};
else
varargout{1} = [x y z];
end
elseif nargout == 3
varargout{1} = x;
varargout{2} = y;
varargout{3} = z;
end
endfunction
|