Multiply vec3 with mat4 using glm

Question

At the moment, I convert the vec3 to vec4, multiply it with the matrix, and then cast it back to vec3

Code:

glm::vec3 transformed = glm::vec3(matrix * glm::vec4(point, 0.0))

It works, but I think it is not the good way to calculate it. Is it possible to apply a mat4 on a vec3, without casting it to vec4 and back?

Answer 1

When working with OpenGL it is very wise to stick with homogeneous coordinates. For 3D space these are 4D vectors where normally the fourth element equals 1. When you do this all your calculations are in 4 dimensional space, so no conversions needed anywhere.

Also note that in your example, you will actually lose any translation that may have been recorded in the transformation matrix. If you want to keep this you'll need to use 1 for the 4th element, not 0.

Appendix F of the Red Book describes how and why homogeneous coordinates are used within OpenGL.

Answer 2

When working with OpenGL it is very wise to stick with homogeneous coordinates. For 3D space these are 4D vectors where normally the fourth element equals 1. When you do this all your calculations are in 4 dimensional space, so no conversions needed anywhere.

Also note that in your example, you will actually lose any translation that may have been recorded in the transformation matrix. If you want to keep this you'll need to use 1 for the 4th element, not 0.

Appendix F of the Red Book describes how and why homogeneous coordinates are used within OpenGL.