diff toolboxes/MIRtoolbox1.3.2/somtoolbox/som_grid.m @ 0:e9a9cd732c1e tip

first hg version after svn
author wolffd
date Tue, 10 Feb 2015 15:05:51 +0000
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children
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/toolboxes/MIRtoolbox1.3.2/somtoolbox/som_grid.m	Tue Feb 10 15:05:51 2015 +0000
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+function [S,m,l,t,s]=som_grid(varargin)
+
+%SOM_GRID Visualization of a SOM grid
+%
+% [sGrid,m,l,t,s]=som_grid(sGrid, ['argID', value, ...])
+% [sGrid,m,l,t,s]=som_grid(topol, ['argID', value, ...])
+% [sGrid,m,l,t,s]=som_grid(lattice, msize, ['argID', value, ...])
+%
+% Input and output arguments ([]'s are optional)
+%  sGrid    (struct) som_grid struct (see output arguments)
+%  topol    (struct) map or topol struct for giving the topology
+%           (cell array) of form {'lattice', msize, ['shape']}. 
+%                    Default value for 'shape' is 'sheet'.
+%  lattice  (string) 'hexa', 'rect' 
+%           (matrix) size M x M, defines topological connections             
+%  msize    (vector) 1x2 vector defines the grid size, M=msize(1)*msize(2)
+%  ['argID',(string) Other arguments can be given as 'argID', value   
+%   value]  (varies) pairs. See list below for valid values.
+%
+%  sGrid    (struct) with fields S.msize, S.shape, S.lattice, S.coord, S.marker, 
+%                    S.markersize, S.markercolor, S.line, S.linewidth, S.linecolor,
+%                    S.surf, S.label, S.labelsize, S.labelcolor
+%  m        (matrix) handels to LINE objects (unit markers) 
+%  l        (matrix) handles to LINE objects (lines connecting the units)
+%  t        (matrix) handles to TEXT objects (labels)
+%  s        (scalar) handle  to SURF object  (surface between units)
+%
+%  Here are the valid argument IDs (case insensitive) and
+%  associated values: 
+%  'Coord'       Mx2 or Mx3 matrix of coordinates 
+%                (default: according to lattice as in som_cplane)
+%  'Marker'      string 'o','+','x','*','v','^','<','>','h','s','d','p','.', 
+%                'none' or Mx1 cell or char array of these strings 
+%                Default: 'o'.  
+%  'MarkerSize'  scalar or Mx1 matrix of double. Default: 6.
+%  'MarkerColor' ColorSpec or Mx3 matrix of RGB triples. Default: 'k'.
+%  'Line'        string '-',':','--' or '-.' or 'none'. Default: '-'.
+%  'Surf'        [], Mx1 or Mx3 matrix of RGB triples 
+%                to define surface values. Default: [] = no surf. 
+%                Note: shading is turned to 'interp'.
+%  'LineWidth'   scalar or MxM matrix, default: 0.5
+%  'LineColor'   ColorSepc, MxMx3 matrix of RGB triples or a cell array 
+%                of form {r g b} where r,g, and b are MxM  
+%                (sparse) matrices of R,G, and B values
+%  'Label'       Mx1 char array, cell array of strings size MxL 
+%                or [] to indicate no labels, default: [] = no labels.
+%  'LabelSize'   scalar
+%  'LabelColor'  ColorSpec or string 'none', default: 'g'.
+%
+% For more help, try 'type som_grid' or check out online documentation.
+% See also SOM_CONNECTION, SOM_SHOW, SOM_CPLANE, SOM_SET, SCATTER, SCATTER3.
+
+%%%%%%%%%%%%%%% DETAILED DESCRIPTION %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% som_grid
+%
+% PURPOSE 
+% 
+%  To visualize the SOM grid in various ways 
+% 
+% SYNTAX
+%
+%  [sGrid,m,l,t,s]=som_grid(sGrid)
+%  [sGrid,m,l,t,s]=som_grid(sTopol)
+%  [sGrid,m,l,t,s]=som_grid(sMap)
+%  [sGrid,m,l,t,s]=som_grid({lattice, msize, [shape]}) 
+%  [sGrid,m,l,t,s]=som_grid(lattice, msize)
+%  [sGrid,m,l,t,s]=som_grid(..., ['argID', value, ...])
+%
+% DESCRIPTION 
+%
+% The SOM can be defined as a set of units (neurons) and their
+% topological relations.  This function is used to visualize these in
+% various ways. The units may be drawn using different markers and
+% colors, in different sizes and in different locations in 2D or
+% 3D. However the topological neighborhood is limited to be
+% 2-dimensional. The connections between these units may be drawn using
+% lines having different thicknesses and colors. Labeling text may be
+% plotted on the units. It is possible also to draw a surface between
+% the units. The surface coloring is either indexed (one value per
+% unit) or fixed RGB (a 1x3 RGB triple per unit).
+%
+% REQUIRED INPUT ARGUMENTS 
+%
+% Note: M is the number of map units.
+% 
+% The first (or first two) argument may have various different types of values
+%
+%   1. sGrid   (struct) som_grid struct (the output of this function)
+%  
+%     The struct initiates the visualization. The argID-value -pairs
+%     are used to alter the initiation.
+%
+%   Following argument types may be used to give the topology for the grid
+% 
+%   2. sTopol  (struct) som_topol struct 
+%   3. sMap    (struct) som_map struct (only topology matters)
+%   4. {lattice, msize} or {lattice, msize, sheet} (cell array) 
+%       - lattice must be 'hexa' or 'rect'
+%       - msize must be a 1x2 vector
+%       - shape (if specified) must be string 'sheet', 'cyl' or 'toroid'
+%         If shape is not given it is 'sheet' by default.
+%   5. lattice (string or matrix) AND msize (1x2 vector) as two separate arguments
+%       - lattice may be string 'rect' or 'hexa' or a connection matrix
+%         (see SOM_CONNECTION) to define a free topology. This connection
+%         matrix is of size MxM and its element i,j (i<j) is set
+%         to 1 if there is a connection between units i and j, otherwise to 
+%         zero. Shape is set to 'sheet' by default. Shape does not have any 
+%         meaning if a free topology is specified, anyway.
+%       - msize must be a 1x2 vector
+%
+%  In cases 2...5 the sGrid structure is initiated by default values
+%  which are set in SOM_SET. These include black markers 'o' (6pt),
+%  light gray conncection lines (graph edges), unit coordinates
+%  according to the lattice ('hexa','rect'), no labels, and no
+%  surface.
+%
+%  OPTIONAL INPUT ARGUMENTS 
+%   
+%  Note: M is the number of map units.
+%   
+%  Here is a list of the valid arguments IDs and the associated
+%  values (identifiers are case insensitive):
+%
+%  'Coord'     Unit coordinates
+%              This defines the coordinates of the units. Default: the
+%              topological coordinates (calculated as in function
+%              SOM_VIS_COORDS and SOM_CPLANE). If the topology is free
+%              (lattice is a connection matrix) this argument is obligatory!
+%     (matrix) size Mx2 of 2D coordinates for each unit
+%     (matrix) size Mx3 of 3D coordinates for each unit
+% 
+% 'Marker'       Unit markers, default is 'o'.
+%     (string) 'o','+','x','*','v','^','<','>','h','s','d', 'p','.', or 'none'
+%              give the same marker for each unit. 
+%     (cell array) of size Mx1 of previous strings gives individual 
+%              markers for each unit.
+%     
+% 'MarkerSize'   Size (pt) of unit markers, default is 6 (pt).
+%     (scalar) gives the same size for every unit.  
+%     (matrix) Mx1 gives an individual size for each unit marker.  
+%
+%  'MarkerColor' Unit marker colors, default is 'k'
+%     (ColorSpec) gives the same color each unit. 
+%     (matrix) Mx3 of RGB triples gives individual color for each unit
+%              Note that indexed coloring - like in SOM_CPLANE - is
+%              not possible. If indexed coloring is needed, you can
+%              use SOM_NORMCOLOR to calculate RGB colors that
+%              emulate indexed coloring. However, the colors for the
+%              units are fixed, so changing colormap will not
+%              change the colors.
+%  
+%  'Line'        Line type, default is '-'.
+%     (string) '-',':','--' or '-.' or 'none'. Only one linetype in
+%              grid is allowed.  
+%
+%  'LineWidth'   Width of the topological connection lines (edges)  
+%     (scalar) gives the same width for each line. Default is 0.5.
+%     (matrix) MxM sparse (or full) matrix gives individual width for 
+%              each connection. The element (i,j), i<j, gives the line width for 
+%              connection between nodes i and j. (The sparse form is
+%              recommended for saving memory, a full matrix works as well,
+%              of course). Note that only the elements satisfying i<j
+%              matter - as the elememts for which j >= i are ignored in
+%              order to avoid ambiguous situations if the matrix would be 
+%              non-symmetric. The "connections to oneself" is not drawn. 
+%
+%              Line width zero is valid and causes the line to disappear.
+%           
+%  'LineColor'   Color of connection lines, default is [0.9 0.9 0.9].
+%     (ColorSpec) gives the same color for each line
+%     (matrix) MxMx3 matrix of RGB triples gives individual width for 
+%              each connection. The element (i,j,:), i<j, gives the RGB triple for 
+%              line between nodes i and j.     
+%     (cell array) of three sparse (or full) matrices {r,g,b} where 
+%              r(i,j), g(i,j) and b(i,j) gives the R,G, and B values in the RGB
+%              triple for the line between nodes i and j. (The motivation for this
+%              form is the fact that a 3D arrays can't use sparse format in 
+%              Matlab version 5.1.)
+%  
+%              Note that only the elements satisfying i<j matter - the elememts 
+%              for which j >= i are ignored in order to avoid ambiguous situations 
+%              if the matrix was non-symmetric. The "connections to oneself"
+%              is not drawn. 
+%    
+%
+%  'Label'       Labels for units, default is [].
+%     (empty)  [] means no labels.
+%     (char array) of size Mx1. Element (i,:) has the label for unit i.     
+%     (cell array) of size MxL consisting of sets of labels. Element {i,:} 
+%              contains the labeling for unit i. 
+%               In case of multiple labels, the labels for one unit are shown 
+%               in one column centered at that unit.
+%    
+%   'LabelSize'   Text size of labels (points), default is 10.
+%     (scalar) Default is 10.
+%
+%   'LabelColor'  Color of labels, default is 'c' (cyan).
+%     (ColorSpec) gives the same color for each label string 'xor'
+%                 sets the colors automatically so that they differ
+%                 from the background (using Matlab's built-in xor-color feature.)
+%    
+%  'Surf'         Surface between nodes, default is [].
+%     (empty)  [] gives no surface
+%     (vector) Mx1 gives an indexed interpolated color surface between 
+%              units using the actual colormap.
+%     (matrix) Mx3 matrix of RGB triples gives a interpolated color surface 
+%              between units using fixed RGB colors.
+%    
+%              Note that the interpolation is done using Matlab's built-in
+%              color interpolation for SURF objects.
+%
+% OUTPUT ARGUMENTS
+%
+%  sGrid    (struct) with fields S.msize, S.shape, S.lattice, S.coord, S.marker, 
+%                    S.markersize, S.markercolor, S.line, S.linewidth, S.linecolor,
+%                    S.surf, S.label, S.labelsize, S.labelcolor
+%
+%  m        (matrix) handels to LINE objects (unit markers) 
+%
+%  l        (matrix) handles to LINE objects (lines connecting the units)
+% 
+%  t        (matrix) handles to TEXT objects (labels)
+%
+%  s        (scalar) handle  to SURF object  (surface between units)
+%
+% EXAMPLES
+%
+% % Make map of size 15x10 on random data:
+% 
+%    map=som_make(rand(1000,4),'msize',[15 10], 'lattice', 'hexa');
+%
+% % Draw the grid using two frist varable values as coordinates
+% % and store the sGrid struct in varable S:
+%
+%    S=som_grid(map, 'coord', map.codebook(:,[1 2]))
+%
+% %Define some things: 
+% %
+% % Create a cell array of size 150x1 that divides map in to two label classes
+% % 'circles' and 'squares'
+%   
+%    L(1:75,1)='o'; L(76:150,1)='s'; L = cellstr(L);
+%    
+% % Create a coloring according to the 3rd variable according to current
+% % colormap: 
+%    
+%    C = som_normcolor(map.codebook(:,3));
+% 
+% % Change the visualization: use black lines, unit markers in M and unit
+% % color in C, and set unit size to 10:
+%
+%    S=som_grid(S, 'linecolor', 'k', 'marker', L, 'MarkerColor',C, ...
+%     'MarkerSize', 10);
+%
+% % Do a new visualization, use indexed color surface calcualted from the
+% % first variable, coordinates according to the lattice (default) but 
+% % no markers nor lines:
+% 
+%    S=som_grid(map,'line','none','marker','none','surf',map.codebook(:,1));
+%
+% % Set coordinates according to three last varables
+%
+%    som_grid(S,'coord',map.codebook(:,2:4));
+%
+% % Create a random connection matrix R1 and the usual hexagonal
+% % neighborhood connection matrix R2: 
+% 
+%    R1=sparse(rand(150,150)>0.9); 
+%    R2=som_connection(map);
+%
+% % Show these connections. Note that coordinates _must_ now be given
+% % explicitly: we form default topological coordinates using
+% % som_unit_coords.
+%
+%    som_grid(R1,map.topol.msize,'coord',som_unit_coords(map));
+%    som_grid(R2,map.topol.msize,'coord',som_unit_coords(map));
+%    
+% % Show connections (R1 AND R2)
+%    som_grid(R2.*R2,map.topol.msize,'coord',som_unit_coords(map));
+% 
+% OBJECT TAGS
+%
+%  No tags are set.
+%
+% SEE ALSO
+%
+%  som_show        The basic map visualization routine
+%  som_cplane      The basic component plane visualization
+%  som_connection  The basic topological connections
+%  scatter         Scatter plots
+%  scatter3        3-dimensional scatter plots 
+
+% Copyright (c) 1999-2000 by the SOM toolbox programming team.
+% http://www.cis.hut.fi/projects/somtoolbox/             
+
+% Version 2.0beta Johan 061099 juuso 151199 310300
+
+%% Init %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+True=1; False=0;                % const.
+m=[]; l=[]; t=[]; s=[];         % default values for outputs
+Ref=som_set('som_grid');        % reference struct
+
+num_of_args=length(varargin);   % numb. of varargins
+
+if num_of_args==0,
+  S=som_set('som_grid');
+  return;
+end
+
+switch class(varargin{1})
+case 'struct'
+  S=varargin{1};
+  first_identifier=2;
+  if ~isfield(S,'type'),
+    error('Input struct is invalid: field ''type'' is missing.');
+  end
+  switch  S.type
+  case 'som_grid'
+    S=varargin{1};
+    first_identifier=2;
+  case 'som_map'
+    Ref.lattice=S.topol.lattice;
+    Ref.msize=S.topol.msize;
+    Ref.shape=S.topol.shape;
+    S=Ref;
+    first_identifier=2;
+  case 'som_topol'
+    Ref.lattice=S.lattice;
+    Ref.msize=S.msize;
+    Ref.shape=S.shape;
+    S=Ref;
+    first_identifier=2;
+  otherwise
+    error('Input struct has to be of type som_grid, som_map or som_topol.');
+  end
+case 'cell'
+  S=varargin{1};
+  first_identifier=2;
+  if vis_valuetype(S,{'topol_cell_no_shape'}),
+    Ref.lattice=S{1};
+    Ref.msize=S{2};
+  elseif vis_valuetype(S,{'topol_cell'}),
+    Ref.lattice=S{1};
+    Ref.msize=S{2};
+    Ref.shape=S{3};
+  else
+    error(['The cell value for 1st argument has to be {lattice, msize}' ...
+	  'or {lattice, msize, shape}.']); 
+  end
+  S=Ref; 
+case{'double','sparse','char'} 
+  % Set defaults
+  S=Ref;
+  first_identifier=3; 
+  if num_of_args<2,
+    error('Not enough input arguments.');
+  end
+  S.lattice=varargin{1};
+  S.msize=varargin{2};
+otherwise
+  error('Invalid input arguments!');
+end  
+
+%% Check input args %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+for i=first_identifier:2:num_of_args,
+  if ischar(varargin{i}) & isfield(Ref,lower(varargin{i})),
+    if i+1>num_of_args,
+      error('Invalid identifier-value pairs or wrong argument order.');
+    else
+      S=setfield(S,lower(varargin{i}),varargin{i+1});
+    end
+  elseif ischar(varargin{i}), 
+    error(['Identifier ''' varargin{i} ''' is unknown.']);
+  else
+    error('Invalid identifier-value pairs or wrong argument order.');
+  end
+end 
+
+% msize
+
+if ~vis_valuetype(S.msize,{'1x2'}),
+  error('msize has to be a 1x2 vector.');
+end
+munits=prod(S.msize);
+
+% Default coordinates according to negihborhood
+
+if isempty(S.coord),
+  if ischar(S.lattice),
+    switch S.lattice,
+    case{'hexa','rect'}
+      S.coord=som_vis_coords(S.lattice,S.msize);
+    otherwise
+      error('String value for lattice must be ''hexa'' or ''rect''.');
+    end
+  else
+    error('Lattice is not ''hexa'' or ''rect'': coordinates must be given.');
+  end
+end
+
+% connections
+
+type=class(S.lattice);
+switch type
+case {'sparse','double'}   % free topology
+  fixedline=False;   
+case 'char'                % default topologies (hexa,char)
+  switch S.lattice
+  case 'hexa'
+    hexa=True;
+  case 'rect'
+    hexa=False;
+  otherwise
+    error('Unknown lattice or neighborhood.');
+  end
+
+  % If topology is hexa/rect but linetype, color etc. is 
+  % not constant, the topology is set to free
+
+  if size(S.linewidth,1)>1 | size(S.linecolor,1)>1 | ...
+    iscell(S.linecolor) % matrix or cell = not constant 
+    fixedline=False;
+    S.lattice=som_connection({S.lattice,S.msize,S.shape});
+  else
+    fixedline=True;
+  end
+end
+
+% Check coordinate matrix size and set dummy zeros to z-axis
+% if 2D coordinates (always 3D plots!)
+
+if ~vis_valuetype(S.coord,{[munits 2],[munits 3]}),
+   error('Coordinate matrix has wrong size.');
+elseif size(S.coord,2)==2,
+   S.coord(:,3)=0;
+end
+
+% Fixed marker size, color, type? 
+
+if size(S.markersize,1)>1 | size(S.markercolor,1)>1 | size(S.marker,1)>1
+   fixedmarker=False;
+else
+   fixedmarker=True;
+end
+
+% Check labels
+
+if ~vis_valuetype(S.label,{'chararray','2Dcellarray_of_char'}) ...
+      & ~isempty(S.label),
+  error('Labels should be in a char array or cell array of strings.');
+elseif ischar(S.label)
+  S.label=cellstr(S.label);
+end
+
+if size(S.label,1) ~= munits & ~isempty(S.label),
+  error('Number of labels and map size do not match.');
+end
+
+% Check line width, marker size, marker color,
+% label size label color and surf sizes&types:
+
+if ~vis_valuetype(S.linewidth,{[munits munits] [1 1]}),
+  error('LineWidth matrix value has wrong size or dimension.');
+elseif any(S.linewidth(:)<0),
+  error('All elements of LineWidth must be non-negative.');
+elseif ~vis_valuetype(S.markersize,{[munits 1] [1 1]}), 
+  error('MarkerSize matrix value has wrong size or dimension.');
+elseif any(S.markersize(:)<0), 
+  error('All elements of MarkerSize must be non-negative.');
+elseif ~vis_valuetype(S.markercolor,{'1x3rgb','colorstyle'}) & ...
+      ~vis_valuetype(S.markercolor,{[munits 3],'nx3rgb'},'all'),
+  error('MarkerColor should be a ColorSpec or Mx3 matrix of RGB triples.');
+elseif ~vis_valuetype(S.labelcolor,{'1x3rgb','colorstyle','xor'}),
+  error('LabelColor shoud be a ColorSpec or ''xor'' or ''none''.')
+elseif ~vis_valuetype(S.labelsize,{'1x1'})
+  error('LabelSize should be a scalar.');
+elseif ~isempty(S.surf) & ~vis_valuetype(S.surf,{[munits 1] [munits 3]});
+  error('Surf matrix value has wrong size or dimension.');
+end
+
+% Check marker type & size
+
+if vis_valuetype(S.marker,{'cellcolumn_of_char'}) 
+  % Don't bother to check the mareker strings in this case
+  % let the plot3 handle them; it returns quite understandable
+  % error messages, anyway
+  
+  if ~size(S.marker) == [munits 1],
+    error(['Marker should be one of Matlab''s valid marker type,' ...
+	   ' string ''none'' or a Mx1 cell array of these.']); 
+  end
+elseif ~vis_valuetype(S.marker,{'markerstyle','none'}),
+      error(['Marker should be one of Matlab''s valid marker type,' ...
+	   ' string ''none'' or a Mx1 cell array of these.']); 
+end
+
+% Check line type & size: only one line style allowed
+
+if ~vis_valuetype(S.line,{'linestyle','none'}) 
+  error(['Line should be a valid Matlab''s line style string or' ...
+	 ' string ''none''.']);
+end
+	
+% Check line color
+
+if iscell(S.linecolor),
+  if ndims(S.linecolor) ~= 2 | any(size(S.linecolor) ~= [1 3]),
+    error('Cell input for LineColor should be of form {r,g,b}.')
+  elseif ~vis_valuetype(S.linecolor{1},{[munits munits],'nxn[0,1]'},'all')| ...
+	~vis_valuetype(S.linecolor{2},{[munits munits],'nxn[0,1]'},'all')| ...
+	~vis_valuetype(S.linecolor{3},{[munits munits],'nxn[0,1]'},'all'),
+    error(['In cell input {r,g,b} some matrix r,g or b is invalid: ' ...
+	   'Size must be MxM and values in interval [0,1].']);
+  end 
+elseif ~vis_valuetype(S.linecolor,{'colorstyle','1x3rgb'}) & ...
+      ~vis_valuetype(S.linecolor,{'nxnx3rgb', [munits munits 3]},'all'),
+  error('Invalid LineColor: see help text for valid values.'),
+elseif vis_valuetype(S.linecolor, {'none'}),
+  error('LineColor ''none'' not allowed: set Line to ''none'' instead.');
+end
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Action
+
+memhold=ishold; % take hold state
+if ~memhold
+   cla;
+end
+hold on;
+
+% Set surf if it exist
+
+if ~isempty(S.surf),
+   for i=1:3,
+      s(:,:,i)=reshape(S.coord(:,i),S.msize);
+   end
+   s(:,:,4:3+size(S.surf,2))=reshape(S.surf,[S.msize size(S.surf,2)]);
+   s=surf(s(:,:,1),s(:,:,2),s(:,:,3),s(:,:,4:end));
+   set(s,'EdgeColor','none','Marker','none','FaceColor','interp');
+end
+
+
+if fixedline,
+  % Line properties are fixed: draw fast, but
+  % if line is set to 'none' set empty handle ans skip
+  if strcmp(S.line,'none')
+    l={};
+  else
+    p1=reshape(S.coord, [S.msize 3]);
+    p2=zeros(size(p1)-[0 1 0]);
+    p2(1:2:end,:,:)=p1(1:2:end,2:end,:);
+    p2(2:2:end,:,:)=p1(2:2:end,1:end-1,:);
+    
+    l{1}=plot3(p1(:,:,1), p1(:,:,2), p1(:,:,3), ...
+	       'Color', S.linecolor(1,:), ...
+	       'LineWidth', S.linewidth(1), ...
+	       'LineStyle', S.line);
+    l{2}=plot3(p1(:,:,1)', p1(:,:,2)', p1(:,:,3)', ...
+	       'Color', S.linecolor(1,:), ...
+	       'LineWidth', S.linewidth(1), ...
+	       'LineStyle', S.line);
+    if hexa,
+      l{3}=plot3(p2(:,:,1), p2(:,:,2), p2(:,:,3), ...
+		 'Color', S.linecolor(1,:), ...
+		 'LineWidth', S.linewidth(1), ...
+		 'LineStyle', S.line);
+    end
+  end
+  l=cat(1,l{:});
+else
+   % Variable properties: draw connection by connection
+   
+   [I,J,lw]=find(S.lattice); 
+   x=[S.coord(I,1)'; S.coord(J,1)']; 
+   y=[S.coord(I,2)'; S.coord(J,2)'];
+   z=[S.coord(I,3)'; S.coord(J,3)'];
+   if S.linewidth(1)==0,
+      linewidth=0.5;
+   else
+      linewidth=S.linewidth(1);
+   end
+   if ndims(S.linecolor) ~=  3
+     if isstr(S.linecolor)  
+       l=plot3(x, y, z, ...
+	       'Color', S.linecolor, ...
+	       'LineWidth', linewidth, ...
+	       'LineStyle',S.line);
+     else 
+       if iscell(S.linecolor)
+         lcolor=[S.linecolor{1}(1,1) S.linecolor{2}(1,1) S.linecolor{3}(1,1)];
+         l=plot3(x, y, z, ...
+		 'Color', lcolor, ...
+		 'LineWidth', linewidth, ...
+		 'LineStyle',S.line);
+       else
+         l=plot3(x, y, z, ...
+                 'Color', S.linecolor(1,:), ...
+                 'LineWidth', linewidth, ...
+                 'LineStyle',S.line);
+       end
+     end
+   else
+     l=plot3(x, y, z, ...
+	     'Color', S.linecolor(1,1,:), ...
+	     'LineWidth', linewidth, ...
+	     'LineStyle',S.line);
+   end
+end
+
+if fixedmarker,
+
+  % If marker is set to 'none' skip and set empty handle 
+  if strcmp(S.marker,'none')
+    m=[]; 
+  else
+    % Fixed markers: draw all in one command
+
+    m=plot3(S.coord(:,1), S.coord(:,2), S.coord(:,3), ... 
+	    'LineStyle', 'none', ...
+	    'Marker', S.marker, ...
+	    'MarkerSize', S.markersize(1), ...
+	    'MarkerFaceColor', S.markercolor(1,:), ...
+	    'MarkerEdgeColor', S.markercolor(1,:));
+  end
+else
+  % Variable marker properties: draw marker by marker
+
+  x=[S.coord(:,1)'; S.coord(:,1)']; 
+  y=[S.coord(:,2)'; S.coord(:,2)'];
+  z=[S.coord(:,3)'; S.coord(:,3)'];
+  if iscell(S.marker)
+    marker=S.marker{1};
+  else
+    marker=S.marker(1);
+  end
+  sz=max(S.markersize(1),0.1);
+  m=plot3(x, y, z, ... 
+	  'LineStyle', 'none', ...
+	  'Marker', marker, ...
+	  'MarkerSize', sz, ... 
+	  'MarkerFaceColor', S.markercolor(1,:), ...
+	  'MarkerEdgeColor', S.markercolor(1,:));
+end
+
+L=length(l); 
+n=munits;
+
+%%% Set variable properties %%%
+
+% Line width
+
+if length(S.linewidth)>1 
+   lwidth=diag(S.linewidth(I,J)); 
+
+   % Handle zero width
+   iszero=(lwidth == 0);lwidth(iszero)=0.5;
+   for i=1:length(l),
+     set(l(i),'LineWidth', lwidth(i));
+   end
+   if ~isempty(iszero), % zero width
+      set(l(iszero),'Visible','off');
+   end
+end
+
+% Line color
+
+if size(S.linecolor,1)>1 | iscell(S.linecolor)
+   if length(size(S.linecolor)) == 3 | iscell(S.linecolor) 
+     if ~iscell(S.linecolor)
+       for i=1:L
+         set(l(i),'Color',S.linecolor(I(i),J(i),:));
+       end
+     else
+       for i=1:L
+         lcolor=[S.linecolor{1}(I(i),J(i)),...
+                 S.linecolor{2}(I(i),J(i)),...
+                 S.linecolor{3}(I(i),J(i))];
+         set(l(i),'Color',lcolor);
+       end
+     end
+   else
+     for i=1:L,
+       set(l(i),'Color', S.linecolor(I(i),:));
+     end
+   end
+end
+
+% Marker size
+
+if length(S.markersize)>1
+   % handle zero size
+   iszero=find(~S.markersize);
+   S.markersize(iszero)=1;
+   for i=1:n,
+      set(m(i),'MarkerSize', S.markersize(i));
+   end
+   if ~isempty(iszero), % zero size
+      set(m(iszero),'Visible','off');
+   end
+end
+
+% Marker type
+
+if size(S.marker,1)>1
+   S.marker=char(S.marker);
+   for i=1:n,
+      set(m(i),'Marker', S.marker(i));
+   end
+end
+
+% Marker color
+
+if size(S.markercolor,1)>1
+   for i=1:n,
+     set(m(i),'MarkerFaceColor', S.markercolor(i,:), ...
+	      'MarkerEdgeColor', S.markercolor(i,:));
+   end
+end
+
+% Set labels if they exist
+
+if ~isempty(S.label)
+  if vis_valuetype(S.labelcolor,{'xor'}),
+    S.labelcolor='g';
+    XOR=1;
+  else
+    XOR=0;
+  end
+  if vis_valuetype(S.labelcolor,{'none'}),
+    S.labelcolor='g';
+    VIS = 1;
+  else
+    VIS = 0;
+  end
+  for i=1:size(S.label,1),
+    L=cat(1,S.label(i,:)); 
+    for j=length(L):-1:1,
+      if isempty(L{j}),
+	L=L(1:end-1); 
+      end
+    end
+    
+    if isempty(L),
+      L='';
+    end
+    t(i)=text(S.coord(i,1), S.coord(i,2), S.coord(i,3), L,...
+	'FontSize', S.labelsize, 'Color',S.labelcolor, ...
+	'HorizontalAlignment', 'center');
+  end
+  if XOR
+    set(t,'EraseMode','xor');
+  end
+  if VIS
+    set(t,'Visible','off');
+  end 
+else
+   t=[];
+end
+
+%% Set hold state
+
+if ~memhold,
+   hold off; 
+end
+
+if nargout==0,
+  clear S m l t s;
+end
\ No newline at end of file