Segmentation of 3D volumes using second derivatives

Efficient Detection of Second-Degree Variations in 2D and 3D Images

“…The matrix is in principal identical to the rotator in Appendix C of this paper. The angles can be solved analytically via a higher degree equation system or iteratively as in [13]. However, as mentioned above in the present paper, a closer look at this latter scheme reveals that it is identical to the Jacobi method for diagonalizing a symmetric matrix [Press88], which in this case is the Hessian.…”

“…For this task the cyclic Jacobi technique is recommended in [44]. This procedure is also possible to cast in terms of derotating the spherical harmonic responses [13]. In the latter case the aim is explicitly set to recover the rotator ) , , (…”