how to rotate all objects by their own centers and then translate them to the real position (it isn't working)

Question

What is the way to make all the objects that are not aligned with the origin center (vector3(0.0f,0.0f,0.0f)) , rotate about its own central axis?

the problem in pseudo code:

vector3 vector3 objectCenter = (10,5,0); // current object center
vector3 vector3 objectPosition = (40,5,0); // Place to translate the object
vector3 objectRotation; = 45.0f;

    matrix.loadIdentity ();
    matrix.translate (objectCenter);

    //apply transformations
    matrix.rotateX (objectRotation);

    matrix.translate (-objectCenter);

    //itś work correctly until here
    //when i try to translate the object to the real position, the rotation is incorrect.

    matrix.translate (objectPosition);

I use C++, glm (to matrix manage) and OpenGL.

Answer 1

if you want to rotate object locally to its own coordinate system then do this:

M=inverse(inverse(M)*rotation_matrix);

• M is your object transform matrix
• rotation_matrix is any rotation (glRotate())
• inverse is function that computes the inverse matrix you can use mine inverse matrix computation or this rotation around LCS x (lrotx) implementation in C++ (at the bottom of the answer)

[edit1] more about relation between M and object which coordinate system it represents

look here: transform matrix anatomy

M origin is usually the middle of object (or point which is center of rotation movements). Axises of M are usually aligned with object for example in airplanes the X axis is usually the fly direction. I am more used to:

• +z axis as forward direction movement
• +x as right, -x as left
• +y as up and -y as down

pith,yaw,roll are then object local rotations around x,y,z