/usr/share/octave/packages/geometry-1.7.0/geom3d/boundingBox3d.m is in octave-geometry 1.7.0-1build1.
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## 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>
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## -*- texinfo -*-
## @deftypefn {Function File} {@var{box} =} boundingBox3d (@var{points})
## Bounding box of a set of 3D points
##
## Returns the bounding box of the set of points POINTS. POINTS is a
## N-by-3 array containing points coordinates. The result BOX is a 1-by-6
## array, containing:
## [XMIN XMAX YMIN YMAX ZMIN ZMAX]
##
## Example
## @group
## # Draw bounding box of a cubeoctehedron
## [v e f] = createCubeOctahedron;
## box3d = boundingBox3d(v);
## figure; hold on;
## drawMesh(v, f);
## drawBox3d(box3d);
## axis([-2 2 -2 2 -2 2]);
## view(3)
## @end group
##
## @seealso{boxes3d, drawBox3d}
## @end deftypefn
function box = boundingBox3d(points)
# compute extreme x and y values
xmin = min(points(:,1));
xmax = max(points(:,1));
ymin = min(points(:,2));
ymax = max(points(:,2));
box = [xmin xmax ymin ymax];
# process case of 3D points
if size(points, 2) > 2
zmin = min(points(:,3));
zmax = max(points(:,3));
box = [xmin xmax ymin ymax zmin zmax];
end
endfunction
%!demo
%! # Draw bounding box of a cubeoctehedron
%! [v e f] = createCubeOctahedron;
%! box3d = boundingBox3d(v);
%! figure; hold on;
%! drawMesh(v, f);
%! drawBox3d(box3d);
%! axis([-2 2 -2 2 -2 2]);
%! view(3)
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