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[OpenGL program] rigid_motion DL : 0: 刚性位置变化计算，输入物体在空间坐标系中的坐标，以及旋转向量和平移向量，计算其在摄像机坐标系中的坐标。- [Y,dYdom,dYdT] = rigid_motion(X,om,T) Computes the rigid motion transformation Y = R*X+T, where R = rodrigues(om). INPUT: X: 3D structure in the world coordinate frame (3xN matrix for N points) (om,T): Rigid motion parameters between world coordinate frame and camera reference frame om: rotation vector (3x1 vector) T: translation vector (3x1 vector) OUTPUT: Y: 3D coordinates of the structure points in the camera reference frame (3xN matrix for N points) dYdom: Derivative of Y with respect to om ((3N)x3 matrix) dYdT: Derivative of Y with respect to T ((3N)x3 matrix) Definitions: Let P be a point in 3D of coordinates X in the world reference frame (stored in the matrix X) The coordinate vector of P in the camera reference frame is: Y = R*X+ T where R is the rotation matrix corresponding to the rotation vector om: R = rodrigues(om) Important function called within that program: rodrigues.m: Computes the
Date : 2026-01-10 Size : 1kb User : shuang
[OpenGL program] bezier DL : 0: 绘制n次Bezier曲线时，应可以输入控制点个数及控制点x,y坐标，输入数据可以放到文本文件中，以便调试。对于三次Bezier曲线，用多个曲线段拼接而成，并且要求曲线一阶导数连续。绘制Bezier曲面时，应可以输入控制多面体的顶点坐标与曲线的间距。-Bezier curve drawing n times, should be able to enter the number of control points and control points x, y coordinates, the input data can be placed in a text file, so that Debugging. For the cubic Bezier curve, the curve segments with multiple splicing, and requires continuous first derivative curve. Drawing Bezier surface Should enter the control polyhedron vertices and curve pitch.
Date : 2026-01-10 Size : 1kb User : xsl