--- /dev/null
+## Copyright (C) 2007-2012 Kai Habel, David Bateman
+##
+## This file is part of Octave.
+##
+## Octave is free software; you can redistribute it and/or modify it
+## under the terms of the GNU General Public License as published by
+## the Free Software Foundation; either version 3 of the License, or (at
+## your option) any later version.
+##
+## Octave is distributed in the hope that it will be useful, but
+## WITHOUT ANY WARRANTY; without even the implied warranty of
+## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+## General Public License for more details.
+##
+## You should have received a copy of the GNU General Public License
+## along with Octave; see the file COPYING. If not, see
+## <http://www.gnu.org/licenses/>.
+
+## -*- texinfo -*-
+## @deftypefn {Function File} {} slice (@var{x}, @var{y}, @var{z}, @var{v}, @var{sx}, @var{sy}, @var{sz})
+## @deftypefnx {Function File} {} slice (@var{x}, @var{y}, @var{z}, @var{v}, @var{xi}, @var{yi}, @var{zi})
+## @deftypefnx {Function File} {} slice (@var{v}, @var{sx}, @var{sy}, @var{sz})
+## @deftypefnx {Function File} {} slice (@var{v}, @var{xi}, @var{yi}, @var{zi})
+## @deftypefnx {Function File} {@var{h} =} slice (@dots{})
+## @deftypefnx {Function File} {@var{h} =} slice (@dots{}, @var{method})
+## Plot slices of 3-D data/scalar fields. Each element of the 3-dimensional
+## array @var{v} represents a scalar value at a location given by the
+## parameters @var{x}, @var{y}, and @var{z}. The parameters @var{x},
+## @var{x}, and @var{z} are either 3-dimensional arrays of the same size
+## as the array @var{v} in the "meshgrid" format or vectors. The
+## parameters @var{xi}, etc. respect a similar format to @var{x}, etc.,
+## and they represent the points at which the array @var{vi} is
+## interpolated using interp3. The vectors @var{sx}, @var{sy}, and
+## @var{sz} contain points of orthogonal slices of the respective axes.
+##
+## If @var{x}, @var{y}, @var{z} are omitted, they are assumed to be
+## @code{x = 1:size (@var{v}, 2)}, @code{y = 1:size (@var{v}, 1)} and
+## @code{z = 1:size (@var{v}, 3)}.
+##
+## @var{Method} is one of:
+##
+## @table @asis
+## @item "nearest"
+## Return the nearest neighbor.
+##
+## @item "linear"
+## Linear interpolation from nearest neighbors.
+##
+## @item "cubic"
+## Cubic interpolation from four nearest neighbors (not implemented yet).
+##
+## @item "spline"
+## Cubic spline interpolation---smooth first and second derivatives
+## throughout the curve.
+## @end table
+##
+## The default method is @code{"linear"}.
+##
+## The optional return value @var{h} is a graphics handle to the created
+## surface object.
+##
+## Examples:
+##
+## @example
+## @group
+## [x, y, z] = meshgrid (linspace (-8, 8, 32));
+## v = sin (sqrt (x.^2 + y.^2 + z.^2)) ./ (sqrt (x.^2 + y.^2 + z.^2));
+## slice (x, y, z, v, [], 0, []);
+## [xi, yi] = meshgrid (linspace (-7, 7));
+## zi = xi + yi;
+## slice (x, y, z, v, xi, yi, zi);
+## @end group
+## @end example
+## @seealso{interp3, surface, pcolor}
+## @end deftypefn
+
+## Author: Kai Habel <kai.habel@gmx.de>
+
+function h = slice (varargin)
+
+ method = "linear";
+ nargs = nargin;
+
+ if (ischar (varargin{end}))
+ method = varargin{end};
+ nargs -= 1;
+ endif
+
+ if (nargs == 4)
+ v = varargin{1};
+ if (ndims (v) != 3)
+ error ("slice: expect 3-dimensional array of values");
+ endif
+ [nx, ny, nz] = size (v);
+ [x, y, z] = meshgrid (1:nx, 1:ny, 1:nz);
+ sx = varargin{2};
+ sy = varargin{3};
+ sz = varargin{4};
+ elseif (nargs == 7)
+ v = varargin{4};
+ if (ndims (v) != 3)
+ error ("slice: expect 3-dimensional array of values");
+ endif
+ x = varargin{1};
+ y = varargin{2};
+ z = varargin{3};
+ if (all ([isvector(x), isvector(y), isvector(z)]))
+ [x, y, z] = meshgrid (x, y, z);
+ elseif (ndims (x) == 3 && size_equal (x, y, z))
+ ## Do nothing.
+ else
+ error ("slice: X, Y, Z size mismatch");
+ endif
+ sx = varargin{5};
+ sy = varargin{6};
+ sz = varargin{7};
+ else
+ print_usage ();
+ endif
+
+ if (any ([isvector(sx), isvector(sy), isvector(sz)]))
+ have_sval = true;
+ elseif (ndims(sx) == 2 && size_equal (sx, sy, sz))
+ have_sval = false;
+ else
+ error ("slice: dimensional mismatch for (XI, YI, ZI) or (SX, SY, SZ)");
+ endif
+
+ newplot ();
+ ax = gca ();
+ sidx = 1;
+ maxv = max (v(:));
+ minv = min (v(:));
+ set (ax, "clim", [minv, maxv]);
+
+ if (have_sval)
+ ns = length (sx) + length (sy) + length (sz);
+ hs = zeros(ns,1);
+ [ny, nx, nz] = size (v);
+ if (length(sz) > 0)
+ for i = 1:length(sz)
+ [xi, yi, zi] = meshgrid (squeeze (x(1,:,1)),
+ squeeze (y(:,1,1)), sz(i));
+ vz = squeeze (interp3 (x, y, z, v, xi, yi, zi, method));
+ tmp(sidx++) = surface (xi, yi, sz(i) * ones (size (yi)), vz);
+ endfor
+ endif
+
+ if (length (sy) > 0)
+ for i = length(sy):-1:1
+ [xi, yi, zi] = meshgrid (squeeze (x(1,:,1)), sy(i), squeeze (z(1,1,:)));
+ vy = squeeze (interp3 (x, y, z, v, xi, yi, zi, method));
+ tmp(sidx++) = surface (squeeze (xi),
+ squeeze (sy(i) * ones (size (zi))),
+ squeeze (zi), vy);
+ endfor
+ endif
+
+ if (length (sx) > 0)
+ for i = length(sx):-1:1
+ [xi, yi, zi] = meshgrid (sx(i), squeeze (y(:,1,1)), squeeze (z(1,1,:)));
+ vx = squeeze (interp3 (x, y, z, v, xi, yi, zi, method));
+ tmp(sidx++) = surface (squeeze (sx(i) * ones (size (zi))),
+ squeeze (yi), squeeze(zi), vx);
+ endfor
+ endif
+ else
+ vi = interp3 (x, y, z, v, sx, sy, sz);
+ tmp = surface (sx, sy, sz, vi);
+ endif
+
+ if (! ishold ())
+ set (ax, "view", [-37.5, 30.0], "box", "off", "xgrid", "on",
+ "ygrid", "on", "zgrid", "on");
+ endif
+
+ if (nargout > 0)
+ h = tmp;
+ endif
+
+endfunction
+
+
+%!demo
+%! clf
+%! [x, y, z] = meshgrid (linspace (-8, 8, 32));
+%! v = sin (sqrt (x.^2 + y.^2 + z.^2)) ./ (sqrt (x.^2 + y.^2 + z.^2));
+%! slice (x, y, z, v, [], 0, []);
+
+%!demo
+%! clf
+%! [x, y, z] = meshgrid (linspace (-8, 8, 32));
+%! v = sin (sqrt (x.^2 + y.^2 + z.^2)) ./ (sqrt (x.^2 + y.^2 + z.^2));
+%! [xi, yi] = meshgrid (linspace (-7, 7));
+%! zi = xi + yi;
+%! slice (x, y, z, v, xi, yi, zi);
+
git://git.creatis.insa-lyon.fr / CreaPhase.git / blobdiff