vecrotz.m

来自「非均匀有理B样条的matlab程序」· M 代码 · 共 49 行

function rz = vecrotz(angle)
% 
% Function Name:
% 
%   vecrotz - Transformation matrix for a rotation around the z axis. 
% 
% Calling Sequence:
% 
%   rz = vecrotz(angle);
% 
% Parameters:
% 
%   angle	: rotation angle defined in radians
% 
%   rz		: (4x4) Transformation matrix.
% 
% 
% Description:
% 
%   Return the (4x4) Transformation matrix for a rotation about the z axis
%   by the defined angle.
% 
%   The matrix is:
% 
%         [  cos(angle)  -sin(angle)       0          0]
%         [ -sin(angle)   cos(angle)       0          0]
%         [      0            0            1          0]
%         [      0            0            0          1]
% 
% Examples:
% 
%  Rotate the NURBS line (0.0 0.0 0.0) - (3.0 3.0 3.0) by 45 degrees
%  around the z-axis
% 
%    line = nrbline([0.0 0.0 0.0],[3.0 3.0 3.0]);
%    trans = vecrotz(%pi/4);
%    rline = nrbtform(line, trans);
% 
% See:
% 
%    nrbtform

%  Dr D.M. Spink
%  Copyright (c) 2000.

sn = sin(angle);
cn = cos(angle);
rz = [cn -sn 0 0; sn cn 0 0; 0 0 1 0; 0 0 0 1];