Can you explain the purpose of using -webkit-transform: matrix3d()?

I am looking for a way to apply non-affine/perspective 3D transformations to images within an HTML canvas. I have tried using matrix3d() on a div element, but since matrix3d() can only be used on DOM elements, I am struggling to find a solution to apply these transformations to objects inside the HTML canvas. To accomplish this, I need to develop a script that can replicate the functionality of the matrix3d() transform. In particular, I am seeking clarity on the significance of the 16 values passed as arguments in the matrix3d() function and the mathematical operations they undergo.

javascriptcssgraphics3d

Answer №1

The values in the set of 16 numbers symbolize the contents of a 4x4 uniform transformation matrix (refer to Wikipedia). The generalized structure states that for an input coordinate A, the elements of the output coordinate B are determined by a CSS style as follows:

matrix3d(a1, b1, c1, d1, a2, b2, c2, d2, a3, b3, c3, d3, a4, b4, c4, d4)

Take note that:

B_x = A_x * a1 + A_y * a2 + A_z * a_3 + a4;
B_y = A_x * b1 + A_y * b2 + A_z * b_3 + b4;
B_Z = A_x * c1 + A_y * c2 + A_z * c_3 + c4;

[assuming common values of d1 = d2 = d3 = 0, and d4 = 1]

Therefore, the vector [a4, b4, c4] signifies translation, while the other 9 figures signify scaling and rotation transforms.

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