%--------------------------
 % @Author: Jingqiao Hu
 % @Date: 2021-12-29 20:23:06
 % @LastEditTime: 2022-01-29 11:34:31

 % for each voronoi edge
 % update the MMC variables based on voronoi-edges
 % [t, x1, y1, z1, x2, y2, z2];
%--------------------------
function MMC = update_MMCs(vedges, T, c_nnbSeedIDX)

    %% MMC properties
    nedge = size(vedges, 1);
    Tedge = T_edge2seed(T, c_nnbSeedIDX, nedge);
    MMC = [Tedge, vedges]; % [t, x1, y1, z1, x2, y2, z2];

    %% the polytope of each MMC
    % for i = 1:size(vedges, 1)
    %     p1 = vedges(i, 1:3);
    %     p2 = vedges(i, 4:6);
        
    %     %# a plane is a*x+b*y+c*z+d=0
    %     %# [a,b,c] is the normal. Thus, we have to calculate
    %     %# d and we're set
    %     n1 = p2 - p1;
    %     d1 = -p1 * n1'; %'# dot product for less typing


        
    %     n2 = p1 - p2;
    %     d2 = -p2 * n2'; %'# dot product for less typing
    % end
end

% projection to width for each edge based on the distance to two neighbor seed
function Tedge = T_edge2seed(Tseed, c_nnbSeedIDX, nedge)
    
    Tedge = zeros(nedge, 1);

    parfor i = 1 : nedge

        sid = c_nnbSeedIDX{i};
        t   = Tseed(sid); % 2*1

        Tedge(i) = mean(t);
    end
end