function [nodes2, edges2] = grMergeNodesMedian(nodes, edges, mnodes)
%GRMERGENODESMEDIAN Replace several nodes by their median coordinate.
%
%   [NODES2, EDGES2] = grMergeNodesMedian(NODES, EDGES, NODES2MERGE)
%   NODES ans EDGES are the graph structure, and NODES2MERGE is the list of
%   indices of nodes to be merged.
%   The median coordinate of merged nodes is computed, and all nodes are
%   merged to this new node.
%
%

% ------
% Author: David Legland 
% E-mail: david.legland@inrae.fr
% Created: 2003-08-13
% Copyright 2003-2024 INRA - TPV URPOI - BIA IMASTE

% coordinates of reference node
x = median(nodes(mnodes, 1));
y = median(nodes(mnodes, 2));

% index of reference node
refNode = findPoint([x y], nodes);
mnodes = sort(mnodes(mnodes ~= refNode));

for n = 1:length(mnodes)
    node = mnodes(n);
    
    % process each neighbor of the current node
    neighbors = grAdjacentNodes(edges, node);
    for e = 1:length(neighbors)
        edge = neighbors(e);
        
        if edges(edge, 1) == refNode || edges(edge, 2) == refNode
            continue;
        end

        % find if the node is referenced as 1 or 2 in the edge,
        % and replace it with the reference node.
        if edges(edge, 1) == node
            edges(edge, 1) = refNode;
        else
            edges(edge, 2) = refNode;
        end  
        
    end
end   

% remove nodes from the list, except the reference node.
for n = 1:length(mnodes)
    [nodes, edges] = grRemoveNode(nodes, edges, mnodes(n)-n+1);
end

nodes2 = nodes;
edges2 = edges;

    
