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

@article{Johnston2000SelectingTC,
  title={Selecting the corner in the L-curve approach to Tikhonov regularization},
  author={Peter R. Johnston and Ramesh M. Gulrajani},
  journal={IEEE Transactions on Biomedical Engineering},
  year={2000},
  volume={47},
  pages={1293-1296}
}
The performance of two methods for selecting the corner in the L-curve approach 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 ordinate is a minimum. It is shown that both these methods resulted in significantly better regularization parameters than that obtained with an often-used empirical Composite REsidual and Smoothing… CONTINUE READING
Highly Cited
This paper has 186 citations. REVIEW CITATIONS

2 Figures & Tables

Topics

Statistics

02040'02'04'06'08'10'12'14'16'18
Citations per Year

186 Citations

Semantic Scholar estimates that this publication has 186 citations based on the available data.

See our FAQ for additional information.