Mercurial > octave-nkf
view scripts/plot/draw/surfnorm.m @ 17572:7bb76a22cde1
maint: Split scripts/plot directory into 4 pieces.
scripts/gui : user-interface functions
scripts/plot/appearance : functions controlling plot appearance
scripts/plot/draw : plotting functions which produce graphs
scripts/plot/util : low-level plotting functions and utilities.
* scripts/gui/guidata.m, scripts/gui/guihandles.m, scripts/gui/module.mk,
scripts/gui/private/__file_filter__.m,
scripts/gui/private/__fltk_file_filter__.m,
scripts/gui/private/__is_function__.m, scripts/gui/private/__uigetdir_fltk__.m,
scripts/gui/private/__uigetfile_fltk__.m,
scripts/gui/private/__uiobject_split_args__.m,
scripts/gui/private/__uiputfile_fltk__.m, scripts/gui/uicontextmenu.m,
scripts/gui/uicontrol.m, scripts/gui/uigetdir.m, scripts/gui/uigetfile.m,
scripts/gui/uimenu.m, scripts/gui/uipanel.m, scripts/gui/uipushtool.m,
scripts/gui/uiputfile.m, scripts/gui/uiresume.m, scripts/gui/uitoggletool.m,
scripts/gui/uitoolbar.m, scripts/gui/uiwait.m, scripts/gui/waitbar.m,
scripts/gui/waitforbuttonpress.m: Moved from scripts/plot to scripts/gui
* scripts/plot/appearance/__clabel__.m,
scripts/plot/appearance/__getlegenddata__.m, scripts/plot/appearance/axis.m,
scripts/plot/appearance/box.m, scripts/plot/appearance/caxis.m,
scripts/plot/appearance/clabel.m, scripts/plot/appearance/daspect.m,
scripts/plot/appearance/diffuse.m, scripts/plot/appearance/grid.m,
scripts/plot/appearance/gtext.m, scripts/plot/appearance/hidden.m,
scripts/plot/appearance/legend.m,
scripts/plot/appearance/orient.m, scripts/plot/appearance/pbaspect.m,
scripts/plot/appearance/private/__axis_label__.m,
scripts/plot/appearance/private/__axis_limits__.m,
scripts/plot/appearance/shading.m, scripts/plot/appearance/specular.m,
scripts/plot/appearance/text.m, scripts/plot/appearance/title.m,
scripts/plot/appearance/view.m, scripts/plot/appearance/whitebg.m,
scripts/plot/appearance/xlabel.m, scripts/plot/appearance/xlim.m,
scripts/plot/appearance/ylabel.m, scripts/plot/appearance/ylim.m,
scripts/plot/appearance/zlabel.m, scripts/plot/appearance/zlim.m:
Moved from scripts/plot to subdir appearance.
* scripts/plot/draw/area.m, scripts/plot/draw/bar.m, scripts/plot/draw/barh.m,
scripts/plot/draw/colorbar.m, scripts/plot/draw/comet.m,
scripts/plot/draw/comet3.m, scripts/plot/draw/compass.m,
scripts/plot/draw/contour.m, scripts/plot/draw/contour3.m,
scripts/plot/draw/contourc.m, scripts/plot/draw/contourf.m,
scripts/plot/draw/cylinder.m, scripts/plot/draw/ellipsoid.m,
scripts/plot/draw/errorbar.m, scripts/plot/draw/ezcontour.m,
scripts/plot/draw/ezcontourf.m, scripts/plot/draw/ezmesh.m,
scripts/plot/draw/ezmeshc.m, scripts/plot/draw/ezplot.m,
scripts/plot/draw/ezplot3.m, scripts/plot/draw/ezpolar.m,
scripts/plot/draw/ezsurf.m, scripts/plot/draw/ezsurfc.m,
scripts/plot/draw/feather.m, scripts/plot/draw/fill.m,
scripts/plot/draw/fplot.m, scripts/plot/draw/hist.m,
scripts/plot/draw/isocolors.m, scripts/plot/draw/isonormals.m,
scripts/plot/draw/isosurface.m, scripts/plot/draw/line.m,
scripts/plot/draw/loglog.m, scripts/plot/draw/loglogerr.m,
scripts/plot/draw/mesh.m, scripts/plot/draw/meshc.m, scripts/plot/draw/meshz.m,
scripts/plot/draw/pareto.m,
scripts/plot/draw/patch.m, scripts/plot/draw/pcolor.m,
scripts/plot/draw/peaks.m, scripts/plot/draw/pie.m, scripts/plot/draw/pie3.m,
scripts/plot/draw/plot.m, scripts/plot/draw/plot3.m,
scripts/plot/draw/plotmatrix.m, scripts/plot/draw/plotyy.m,
scripts/plot/draw/polar.m, scripts/plot/draw/private/__add_datasource__.m,
scripts/plot/draw/private/__bar__.m, scripts/plot/draw/private/__contour__.m,
scripts/plot/draw/private/__errcomm__.m,
scripts/plot/draw/private/__errplot__.m,
scripts/plot/draw/private/__ezplot__.m,
scripts/plot/draw/private/__interp_cube__.m,
scripts/plot/draw/private/__line__.m,
scripts/plot/draw/private/__marching_cube__.m,
scripts/plot/draw/private/__patch__.m, scripts/plot/draw/private/__pie__.m,
scripts/plot/draw/private/__plt__.m, scripts/plot/draw/private/__quiver__.m,
scripts/plot/draw/private/__scatter__.m, scripts/plot/draw/private/__stem__.m,
scripts/plot/draw/quiver.m, scripts/plot/draw/quiver3.m,
scripts/plot/draw/rectangle.m, scripts/plot/draw/ribbon.m,
scripts/plot/draw/rose.m, scripts/plot/draw/scatter.m,
scripts/plot/draw/scatter3.m, scripts/plot/draw/semilogx.m,
scripts/plot/draw/semilogxerr.m, scripts/plot/draw/semilogy.m,
scripts/plot/draw/semilogyerr.m, scripts/plot/draw/shrinkfaces.m,
scripts/plot/draw/slice.m, scripts/plot/draw/sombrero.m,
scripts/plot/draw/sphere.m, scripts/plot/draw/stairs.m,
scripts/plot/draw/stem.m, scripts/plot/draw/stem3.m,
scripts/plot/draw/stemleaf.m, scripts/plot/draw/surf.m,
scripts/plot/draw/surface.m, scripts/plot/draw/surfc.m,
scripts/plot/draw/surfl.m, scripts/plot/draw/surfnorm.m,
scripts/plot/draw/tetramesh.m, scripts/plot/draw/trimesh.m,
scripts/plot/draw/triplot.m, scripts/plot/draw/trisurf.m,
scripts/plot/draw/waterfall.m: Moved from plot/ to subdir draw.
* scripts/plot/util/__actual_axis_position__.m,
scripts/plot/util/__default_plot_options__.m,
scripts/plot/util/__gnuplot_drawnow__.m,
scripts/plot/util/__next_line_color__.m,
scripts/plot/util/__next_line_style__.m,
scripts/plot/util/__plt_get_axis_arg__.m, scripts/plot/util/__pltopt__.m,
scripts/plot/util/allchild.m, scripts/plot/util/ancestor.m,
scripts/plot/util/axes.m, scripts/plot/util/cla.m, scripts/plot/util/clf.m,
scripts/plot/util/close.m, scripts/plot/util/closereq.m,
scripts/plot/util/colstyle.m, scripts/plot/util/copyobj.m,
scripts/plot/util/figure.m, scripts/plot/util/findall.m,
scripts/plot/util/findfigs.m, scripts/plot/util/findobj.m,
scripts/plot/util/gca.m, scripts/plot/util/gcbf.m, scripts/plot/util/gcbo.m,
scripts/plot/util/gcf.m, scripts/plot/util/gco.m, scripts/plot/util/ginput.m,
scripts/plot/util/gnuplot_binary.in, scripts/plot/util/graphics_toolkit.m,
scripts/plot/util/hdl2struct.m, scripts/plot/util/hggroup.m,
scripts/plot/util/hold.m, scripts/plot/util/isaxes.m,
scripts/plot/util/isfigure.m, scripts/plot/util/ishghandle.m,
scripts/plot/util/ishold.m, scripts/plot/util/isprop.m,
scripts/plot/util/linkprop.m, scripts/plot/util/meshgrid.m,
scripts/plot/util/ndgrid.m,
scripts/plot/util/newplot.m, scripts/plot/util/print.m,
scripts/plot/util/printd.m, scripts/plot/util/private/__add_default_menu__.m,
scripts/plot/util/private/__fltk_ginput__.m,
scripts/plot/util/private/__fltk_print__.m,
scripts/plot/util/private/__ghostscript__.m,
scripts/plot/util/private/__gnuplot_get_var__.m,
scripts/plot/util/private/__gnuplot_ginput__.m,
scripts/plot/util/private/__gnuplot_has_feature__.m,
scripts/plot/util/private/__gnuplot_has_terminal__.m,
scripts/plot/util/private/__gnuplot_open_stream__.m,
scripts/plot/util/private/__gnuplot_print__.m,
scripts/plot/util/private/__gnuplot_version__.m,
scripts/plot/util/private/__go_draw_axes__.m,
scripts/plot/util/private/__go_draw_figure__.m,
scripts/plot/util/private/__print_parse_opts__.m,
scripts/plot/util/private/__tight_eps_bbox__.m, scripts/plot/util/refresh.m,
scripts/plot/util/refreshdata.m, scripts/plot/util/saveas.m,
scripts/plot/util/shg.m, scripts/plot/util/struct2hdl.m,
scripts/plot/util/subplot.m: Moved from plot to subdir util.
* etc/HACKING: Updated directory structure info.
* scripts/Makefile.am, scripts/plot/appearance/module.mk,
scripts/plot/draw/module.mk, scripts/plot/util/module.mk:
Added new directories to build system.
author | Rik <rik@octave.org> |
---|---|
date | Fri, 04 Oct 2013 17:09:08 -0700 |
parents | scripts/plot/surfnorm.m@f0f4b524b6d0 |
children | d63878346099 |
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## Copyright (C) 2007-2012 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} {} surfnorm (@var{x}, @var{y}, @var{z}) ## @deftypefnx {Function File} {} surfnorm (@var{z}) ## @deftypefnx {Function File} {[@var{nx}, @var{ny}, @var{nz}] =} surfnorm (@dots{}) ## @deftypefnx {Function File} {} surfnorm (@var{h}, @dots{}) ## Find the vectors normal to a meshgridded surface. The meshed gridded ## surface is defined by @var{x}, @var{y}, and @var{z}. If @var{x} and ## @var{y} are not defined, then it is assumed that they are given by ## ## @example ## @group ## [@var{x}, @var{y}] = meshgrid (1:rows (@var{z}), ## 1:columns (@var{z})); ## @end group ## @end example ## ## If no return arguments are requested, a surface plot with the normal ## vectors to the surface is plotted. Otherwise the components of the normal ## vectors at the mesh gridded points are returned in @var{nx}, @var{ny}, ## and @var{nz}. ## ## The normal vectors are calculated by taking the cross product of the ## diagonals of each of the quadrilaterals in the meshgrid to find the ## normal vectors of the centers of these quadrilaterals. The four nearest ## normal vectors to the meshgrid points are then averaged to obtain the ## normal to the surface at the meshgridded points. ## ## An example of the use of @code{surfnorm} is ## ## @example ## surfnorm (peaks (25)); ## @end example ## @seealso{surf, quiver3} ## @end deftypefn function [Nx, Ny, Nz] = surfnorm (varargin) [hax, varargin, nargin] = __plt_get_axis_arg__ ("surfnorm", varargin{:}); if (nargin != 1 && nargin != 3) print_usage (); endif if (nargin == 1) z = varargin{1}; [x, y] = meshgrid (1:rows (z), 1:columns (z)); ioff = 2; else x = varargin{1}; y = varargin{2}; z = varargin{3}; ioff = 4; endif if (!ismatrix (z) || isvector (z) || isscalar (z)) error ("surfnorm: Z argument must be a matrix"); endif if (! size_equal (x, y, z)) error ("surfnorm: X, Y, and Z must have the same dimensions"); endif ## Make life easier, and avoid having to do the extrapolation later, do ## a simpler linear extrapolation here. This is approximative, and works ## badly for closed surfaces like spheres. xx = [2 .* x(:,1) - x(:,2), x, 2 .* x(:,end) - x(:,end-1)]; xx = [2 .* xx(1,:) - xx(2,:); xx; 2 .* xx(end,:) - xx(end-1,:)]; yy = [2 .* y(:,1) - y(:,2), y, 2 .* y(:,end) - y(:,end-1)]; yy = [2 .* yy(1,:) - yy(2,:); yy; 2 .* yy(end,:) - yy(end-1,:)]; zz = [2 .* z(:,1) - z(:,2), z, 2 .* z(:,end) - z(:,end-1)]; zz = [2 .* zz(1,:) - zz(2,:); zz; 2 .* zz(end,:) - zz(end-1,:)]; u.x = xx(1:end-1,1:end-1) - xx(2:end,2:end); u.y = yy(1:end-1,1:end-1) - yy(2:end,2:end); u.z = zz(1:end-1,1:end-1) - zz(2:end,2:end); v.x = xx(1:end-1,2:end) - xx(2:end,1:end-1); v.y = yy(1:end-1,2:end) - yy(2:end,1:end-1); v.z = zz(1:end-1,2:end) - zz(2:end,1:end-1); c = cross ([u.x(:), u.y(:), u.z(:)], [v.x(:), v.y(:), v.z(:)]); w.x = reshape (c(:,1), size (u.x)); w.y = reshape (c(:,2), size (u.y)); w.z = reshape (c(:,3), size (u.z)); ## Create normal vectors as mesh vectices from normals at mesh centers nx = (w.x(1:end-1,1:end-1) + w.x(1:end-1,2:end) + w.x(2:end,1:end-1) + w.x(2:end,2:end)) ./ 4; ny = (w.y(1:end-1,1:end-1) + w.y(1:end-1,2:end) + w.y(2:end,1:end-1) + w.y(2:end,2:end)) ./ 4; nz = (w.z(1:end-1,1:end-1) + w.z(1:end-1,2:end) + w.z(2:end,1:end-1) + w.z(2:end,2:end)) ./ 4; ## Normalize the normal vectors len = sqrt (nx.^2 + ny.^2 + nz.^2); nx = nx ./ len; ny = ny ./ len; nz = nz ./ len; if (nargout == 0) oldfig = []; if (! isempty (hax)) oldfig = get (0, "currentfigure"); endif unwind_protect hax = newplot (hax); surf (x, y, z, varargin{ioff:end}); old_hold_state = get (hax, "nextplot"); unwind_protect set (hax, "nextplot", "add"); plot3 ([x(:)'; x(:).' + nx(:).' ; NaN(size(x(:).'))](:), [y(:)'; y(:).' + ny(:).' ; NaN(size(y(:).'))](:), [z(:)'; z(:).' + nz(:).' ; NaN(size(z(:).'))](:), varargin{ioff:end}); unwind_protect_cleanup set (hax, "nextplot", old_hold_state); end_unwind_protect unwind_protect_cleanup if (! isempty (oldfig)) set (0, "currentfigure", oldfig); endif end_unwind_protect else Nx = nx; Ny = ny; Nz = nz; endif endfunction %!demo %! clf; %! colormap ('default'); %! [x, y, z] = peaks (10); %! surfnorm (x, y, z); %!demo %! clf; %! colormap ('default'); %! surfnorm (peaks (10)); %!demo %! clf; %! colormap ('default'); %! surfnorm (peaks (32)); %! shading interp;