Selecting the corner in the L-curve approach to Tikhonov regularization

The performance of two methods for selecting the corner in the L-curve appr oach to Tikhonov regularization is evaluated via computer simulation. These methods are selecting the corner as the point of maximum curvature in the L-curve, and selecting it as the point where the product of abcissa and ord inate is a minimum. It is shown that both these methods resulted in signifi cantly better regularization parameters than that obtained with an often-us ed empirical Composite REsidual and Smoothing Operator approach, particular ly in conditions where correlated geometry noise exceeds Gaussian measureme nt noise. It is also shown that the regularization parameter that results w ith the minimum-product method is identical to that selected with another e mpirical zero-crossing approach proposed earlier.