bresenham插补算法matlab

根据提供的引用内容，Bresenham插补算法是一种用于直线插补的算法。由于该算法需要在三个轴上进行计算，因此需要使用到MATLAB的三维数组。以下是MATLAB实现Bresenham插补算法的代码：

function [X,Y,Z] = bresenham3d(x1,y1,z1,x2,y2,z2)
% Bresenham 3D algorithm
% 输入参数：
% x1,y1,z1 - 起点坐标
% x2,y2,z2 - 终点坐标
% 输出参数：
% X,Y,Z - 插补后的坐标序列

dx = abs(x2 - x1);
dy = abs(y2 - y1);
dz = abs(z2 - z1);

if x1 < x2
    sx = 1;
else
    sx = -1;
end

if y1 < y2
    sy = 1;
else
    sy = -1;
end

if z1 < z2
    sz = 1;
else
    sz = -1;
end

if (dy >= dx) && (dy >= dz)
    e1 = 2 * dx - dy;
    e2 = 2 * dz - dy;
    X = zeros(dy+1,1);
    Y = zeros(dy+1,1);
    Z = zeros(dy+1,1);
    for i = 0:dy
        X(i+1) = x1;
        Y(i+1) = y1;
        Z(i+1) = z1;
        if e1 >= 0
            x1 = x1 + sx;
            e1 = e1 - 2 * dy;
        end
        if e2 >= 0
            z1 = z1 + sz;            e2 = e2 - 2 * dy;
        end
        e1 = e1 + 2 * dx;
        e2 = e2 + 2 * dz;
        y1 = y1 + sy;
    end
elseif (dx >= dy) && (dx >= dz)
    e1 = 2 * dy - dx;
    e2 = 2 * dz - dx;
    X = zeros(dx+1,1);
    Y = zeros(dx+1,1);
    Z = zeros(dx+1,1);
    for i = 0:dx
        X(i+1) = x1;
        Y(i+1) = y1;
        Z(i+1) = z1;
        if e1 >= 0
            y1 = y1 + sy;
            e1 = e1 - 2 * dx;
        end
        if e2 >= 0
            z1 = z1 + sz;
            e2 = e2 - 2 * dx;
        end
        e1 = e1 + 2 * dy;
        e2 = e2 + 2 * dz;
        x1 = x1 + sx;
    end
else
    e1 = 2 * dz - dy;
    e2 = 2 * dx - dz;
    X = zeros(dz+1,1);
    Y = zeros(dz+1,1);
    Z = zeros(dz+1,1);
    for i = 0:dz
        X(i+1) = x1;
        Y(i+1) = y1;
        Z(i+1) = z1;
        if e1 >= 0
            y1 = y1 + sy;
            e1 = e1 - 2 * dz;
        end
        if e2 >= 0
            x1 = x1 + sx;
            e2 = e2 - 2 * dz;
        end
        e1 = e1 + 2 * dy;
        e2 = e2 + 2 * dx;
        z1 = z1 + sz;
    end
end
end