PolarDecomposition

inline Matrix22 PolarDecomposition(const Matrix22 &m)

Performs polar decomposition of a 2x2 matrix.

Decomposes the matrix into an orthogonal (rotation) matrix using an optimized analytical method. The decomposition finds the closest orthogonal matrix to the input matrix.

Note

This implementation uses an analytical approach rather than the iterative method shown in comments

Parameters:

m – [in] Matrix to decompose

Returns:

Orthogonal matrix from the polar decomposition