已知欧拉角和距离，计算平移矩阵，matlab代码

以下是计算平移矩阵的matlab代码，需要输入欧拉角和距离：

function [t] = euler_distance_to_translation_matrix(euler_angles, distance)

% Convert euler angles to rotation matrix
R = euler_to_rotation_matrix(euler_angles);

% Create a 4x4 identity matrix
t = eye(4);

% Insert rotation matrix into top left corner of the identity matrix
t(1:3,1:3) = R;

% Insert distance into the translation part of the matrix
t(1:3,4) = [distance(1); distance(2); distance(3)];
end


function [R] = euler_to_rotation_matrix(euler_angles)

% Convert euler angles to radians and separate them
alpha = deg2rad(euler_angles(1));
beta = deg2rad(euler_angles(2));
gamma = deg2rad(euler_angles(3));

% Compute trigonometric functions
ca = cos(alpha);
cb = cos(beta);
cg = cos(gamma);
sa = sin(alpha);
sb = sin(beta);
sg = sin(gamma);

% Compute entries of the rotation matrix
R11 = ca*cb;
R12 = ca*sb*sg - sa*cg;
R13 = ca*sb*cg + sa*sg;
R21 = sa*cb;
R22 = sa*sb*sg + ca*cg;
R23 = sa*sb*cg - ca*sg;
R31 = -sb;
R32 = cb*sg;
R33 = cb*cg;

% Construct rotation matrix and return it
R = [R11 R12 R13;
    R21 R22 R23;
    R31 R32 R33];
end

其中`euler_to_rotation_matrix`函数用于将欧拉角转换成旋转矩阵，而`euler_distance_to_translation_matrix`函数将旋转矩阵和距离组合成平移矩阵。请注意，这些函数都需要输入参数是以度为单位的欧拉角。