在MATLAB R2011a中绘制四面体

Question

我想在MATLAB中绘制四面体。我怎么能这样做？

Answer 1

试试这个

X = [x1 x2 x3 x4]';
Y = [y1 y2 y3 y4]';
Z = [z1 z2 z3 z4]';    
T = [1 2 3; 1 2 4; 2 3 4; 1 3 4];    
trimesh(T,X,Y,Z);

看看它是否有效。值x1 y1和z1是顶点1的相应x y x坐标（类似于其他顶点）。我现在没有MATLAB访问权限，所以我从八角形生成器代码中修改了这个。您可能需要使用顶点顺序来使其工作，但这种方法可以让您绘制四面体

修改：另一个选项trisurf代替trimesh来获取表面而不是线框

Answer 2

    % Draws tetrahedron inscribed in sphere of radius 1
    function draw_regular_tetrahedron(T)

        T = 1/hypot(1, sqrt(2)/2)*T; % scale to fit in unit sphere

        z = 1/sqrt(2);
        S.Vertices = (T*[1,0,-z;-1,0,-z;0,1,z;0,-1,z]')';
        S.Faces = [1,3,4;2,3,4;1,2,3;1,2,4];
        S.FaceVertexCData = [ 1 ];
        S.FaceColor = 'flat';
        S.EdgeColor = 'green';
        p = patch(S);
        alpha(p, 0.5);
    end

>> ps_5_2.draw_regular_tetrahedron(eye(3))
>> ps_5_2.draw_regular_tetrahedron(eye(3)*5)