Robust smoothing of gridded data in one and higher dimensions with missing values

Brohan, 2006, Uncertainty estimates in regional and global observed temperature changes: A new data set from 1850, Journal of Geophysical Research, 111, D12106, 10.1029/2005JD006548

Buckley, 1994, Fast computation of a discretized thin-plate smoothing spline for image data, Biometrika, 81, 247, 10.1093/biomet/81.2.247

Chatterjee, 1986, Influential observations, high leverage points, and outliers in linear regression, Statistical Science, 1, 379, 10.1214/ss/1177013622

Craven, 1978, Smoothing noisy data with spline functions. Estimating the correct degree of smoothing by the method of generalized cross-validation, Numerische Mathematik, 31, 377, 10.1007/BF01404567

Eilers, 2003, A perfect smoother, Anal. Chem., 75, 3631, 10.1021/ac034173t

Garcia, D., Matlab functions in BioméCardio. http://www.biomecardio.com/matlab, 2009. Ref Type: Electronic Citation

Golub, 1979, Generalized cross-validation as a method for choosing a good ridge parameter, Technometrics, 21, 215, 10.2307/1268518

Hastie, 1993, Local regression: Automatic kernel carpentry, Statistical Science, 8, 120, 10.1214/ss/1177011002

Heiberger, 1992, Design of an S function for robust regression using iteratively reweighted least squares, Journal of Computational and Graphical Statistics, 1, 181, 10.2307/1390715

Hoaglin, 1978, The hat matrix in regression and ANOVA, The American Statistician, 32, 17, 10.2307/2683469

Keller, 1965, On the solution of singular and semidefinite linear systems by iteration, Journal of the Society for Industrial and Applied Mathematics: Series B, Numerical Analysis, 2, 281, 10.1137/0702022

Kennedy, J., Met Office Hadley Centre observations datasets. http://hadobs.metoffice.com/crutem3, 2007. Ref Type: Electronic Citation

Rousseeuw, 1987

Rousseeuw, 1993, Alternatives to the median absolute deviation, Journal of the American Statistical Association, 88, 1273, 10.2307/2291267

Savitzky, 1964, Smoothing and differentiation of data by simplified least squares procedures, Anal. Chem., 36, 1627, 10.1021/ac60214a047

Schoenberg, 1964, Spline functions and the problem of graduation, Proceedings of the National Academy of Sciences of the United States of America, 52, 947, 10.1073/pnas.52.4.947

Strang, 1999, The discrete cosine transform, SIAM Review, 41, 135, 10.1137/S0036144598336745

Takezawa, 2005

Wahba, 1990

Wahba, 1990, Estimating the smoothing parameter, 45

Watson, 1964, Smooth regression analysis, The Indian Journal of Statistics, Series A, 26, 359

Weinert, 2007, Efficient computation for Whittaker–Henderson smoothing, Computational Statistics & Data Analysis, 52, 959, 10.1016/j.csda.2006.11.038

Whittaker, 1923, On a new method of graduation, Proceedings of the Edinburgh Mathematical Society, 41, 62

Yueh, 2005, Eigenvalues of several tridiagonal matrices, Applied Mathematics E-Notes, 5, 66