1. 求voronoi用法，希望能給出例子和公式中各量的含義
額，我搜到一個大家看看吧
MATLAB幫助文檔里的VORONOI函數吧
k=20;
x=rand(k,1);
y=rand(k,1);
z=rand(k,1);
figure('Color','w')
plot3(x,y,z,'Marker','.','MarkerEdgeColor','r','MarkerSize',10, 'LineStyle', 'none')
xlabel('X');
ylabel('Y');
zlabel('Z');
axis([0 1.5 0 1.5 0 1.5])
axis vis3d
X=[x y z];
[V,C]=voronoin(X);
V;
for k=1:20
disp(C{k})
end
for k=1:length(C)
if all(C{k}~=1)
VertCell = V(C{k},:);
KVert = convhulln(VertCell);
patch('Vertices',VertCell,'Faces',KVert,'FaceColor','g','FaceAlpha',0.5)
end
end
2. 用matlab畫有邊界的voronoi圖，怎麼畫
估計你是剛剛載入吧，提示說MATLAB找不到路徑，我當初載入神經網路的時候，和你的處境一樣，我關了MATLAB，吃完飯一用，神奇的好了。望採納。
3. voronoi演算法
不知道你要三維的還是二維的，先給你個在MATLAB中生成三維voronoi圖的，二維的你就自己查MATLAB幫助文檔里的VORONOI函數吧
k=20;
x=rand(k,1);
y=rand(k,1);
z=rand(k,1);
figure('Color','w')
plot3(x,y,z,'Marker','.','MarkerEdgeColor','r','MarkerSize',10, 'LineStyle', 'none')
xlabel('X');
ylabel('Y');
zlabel('Z');
axis([0 1.5 0 1.5 0 1.5])
axis vis3d
X=[x y z];
[V,C]=voronoin(X);
V;
for k=1:20
disp(C{k})
end
for k=1:length(C)
if all(C{k}~=1)
VertCell = V(C{k},:);
KVert = convhulln(VertCell);
patch('Vertices',VertCell,'Faces',KVert,'FaceColor','g','FaceAlpha',0.5)
end
end
4. 用matlab mpt工具箱生成受限的voronoi圖。請問該怎麼得到各個頂點坐標呢（包括voronoi邊與邊界的交點）
extreme這個函數就可以得到頂點坐標。
給你個代碼：
function irPoly = getIrreg(m,s)
%GETIRREGULAR Summary of this function goes here
% get irregular pixels
% the same begin & end
% clockwise order
% m - regular size
% S - low/high resolution
% get limit voronoi
x = gallery('uniformdata', [(m*s)^2 1], 0);
y = gallery('uniformdata', [(m*s)^2 1], 1);
vOut = [0,0; 0,m; m,m; m,0];
P = polytope(vOut);
Options.pbound = P;
% Options.plot = 1;
Pn = mpt_voronoi(m*[x,y],Options);
% split each polygon
for iPoly = 1:length(Pn)
thisPoly = extreme(Pn(iPoly));
% limited in [0,m]
thisPoly(thisPoly>m) = m;
thisPoly(thisPoly<0) = 0;
% make points in order
k = convhull(thisPoly(:,1), thisPoly(:,2));
% make clockwise
[pX,pY] = poly2cw(thisPoly(k,1),thisPoly(k,2));
irPoly{iPoly} = [pX,pY];
end%for iPoly
end%function
5. matlab中如何給voronoi加個邊界
代碼如下
A=[100*rand(10,2)rand(10,1)];
pbound=polytope([000;15000;1501500;01500;001;15001;1501501;01501]);
Options.pbound=pbound;
Options.plot=1;
mpt_voronoi(A,Options);
6. 如何將MATLAB中的voronoi圖導入到cad中，已獲得頂點信息，但不知頂點如何連接的信息。
extreme這個函數就可以得到頂點坐標。
給你個代碼：
function irPoly = getIrreg(m,s)
%GETIRREGULAR Summary of this function goes here
% get irregular pixels
% the same begin & end
% clockwise order
% m - regular size
% S - low/high resolution
% get limit voronoi
x = gallery('uniformdata', [(m*s)^2 1], 0);
y = gallery('uniformdata', [(m*s)^2 1], 1);
vOut = [0,0; 0,m; m,m; m,0];
P = polytope(vOut);
Options.pbound = P;
% Options.plot = 1;
Pn = mpt_voronoi(m*[x,y],Options);
% split each polygon
for iPoly = 1:length(Pn)
thisPoly = extreme(Pn(iPoly));
% limited in [0,m]
thisPoly(thisPoly>m) = m;
thisPoly(thisPoly<0) = 0;
% make points in order
k = convhull(thisPoly(:,1), thisPoly(:,2));
% make clockwise
[pX,pY] = poly2cw(thisPoly(k,1),thisPoly(k,2));
irPoly{iPoly} = [pX,pY];
end%for iPoly
end%function
7. matlab中 voronoi函數能否得到一個點周圍voronoi邊的頂點的坐標，其順序與給定點的坐標的順序是怎樣的
用voronoin
例子
x=[0 -.5 1 1 -1];
y=[0 -1 -.5 1 1];
voronoi(x,y);axis([-2 2 -2 2])
[v,c]=voronoin([x;y]')
%v就是所有的voronoi邊的頂點坐標，c{i}就是第i個點周圍的voronoi邊的頂點下標
%比如說第1個點(0,0)周圍的voronoi邊的頂點就是橫坐標：v(c{1},1)，縱坐標：v(c{1},2)
%對於坐標為(inf,inf)的點就是無窮遠點，應該不難理解。
for n=1:4
disp(['點(' num2str(x(n)) ',' num2str(y(n)) ')周圍的voronoi邊的頂點的坐標是:'])
disp([v(c{n},1),v(c{n},2)])
end
8. 請幫我看一下下面的matlab代碼，關於voronoi圖的。希望能逐句解釋一下。
figure(2)%建立第二張圖片
[vx,vy]=voronoi(X,Y);%使用voronoi函數
plot(X,Y,'r*',vx,vy,'b-');%X,Y的二維點使用紅色*表示，vx，vy使用藍色-表示；
hold on;%保持圖像
voronoi(X,Y);%使用voronoi函數
axis([0 xm 0 ym]);%設置圖像X軸的區間為0到XM,Y軸區間為0到Ym
title('Voronoi')%給圖像命名為Voronoi
9. matlab中生成voronoi圖時，能否設定一個邊界使得voronoi頂點不出現無窮遠點
下個mpt工具箱
裡面的_voronoi可以實現你的要求
MPT_VORONOI Computes the voronoi diagram via mpLP
[Pn]=mpt_voronoi(points,Options)
---------------------------------------------------------------------------
DESCRIPTION
---------------------------------------------------------------------------
The voronoi diagram is a partition of the state space; For a given set of
points pj, each region Pn(j) is defined as
Pn(j)={x \in R^n | d(x,pj)<=d(x,pi), \forall i \neq j}
---------------------------------------------------------------------------
INPUT
---------------------------------------------------------------------------
points - Optional input:
Matrix p times nx of points: nx is state space dimension and
p is the number of points
The entry is graphical in 2D if no parameters are passed.
Options.pbound - A "bounding polytope". If provided, the voronoi cells will
be bounded by this polytope. If not provided, the cells will
be bounded by a hypercube as big as 1.5x the maximum
coordinate of any of the seed points
Options.plot - If set to 1, plots the voronoi diagram (0 is default)
Options.sortcells - If set to 1, resulting Voronoi partition will be ordered
in a way such that Pn(i) corresponds to seed point i.
(Default is 1)