pybaselines.spline.pspline_lsrpls

pybaselines.spline.pspline_lsrpls(data, x_data=None, lam=1000.0, num_knots=100, spline_degree=3, diff_order=2, max_iter=50, tol=0.001, weights=None)[source]

A penalized spline version of the LSRPLS algorithm.

Parameters:
dataarray_like, shape (N,)

The y-values of the measured data, with N data points. Must not contain missing data (NaN) or Inf.

x_dataarray_like, shape (N,), optional

The x-values of the measured data. Default is None, which will create an array from -1 to 1 with N points.

lamfloat, optional

The smoothing parameter. Larger values will create smoother baselines. Default is 1e3.

num_knotsint, optional

The number of knots for the spline. Default is 100.

spline_degreeint, optional

The degree of the spline. Default is 3, which is a cubic spline.

diff_orderint, optional

The order of the differential matrix. Must be greater than 0. Default is 2 (second order differential matrix). Typical values are 2 or 1.

max_iterint, optional

The max number of fit iterations. Default is 50.

tolfloat, optional

The exit criteria. Default is 1e-3.

weightsarray_like, shape (N,), optional

The weighting array. If None (default), then the initial weights will be an array with size equal to N and all values set to 1.

Returns:
baselinenumpy.ndarray, shape (N,)

The calculated baseline.

paramsdict

A dictionary with the following items:

  • 'weights': numpy.ndarray, shape (N,)

    The weight array used for fitting the data.

  • 'tol_history': numpy.ndarray

    An array containing the calculated tolerance values for each iteration. The length of the array is the number of iterations completed. If the last value in the array is greater than the input tol value, then the function did not converge.

References

Heng, Z., et al. Baseline correction for Raman Spectra Based on Locally Symmetric Reweighted Penalized Least Squares. Chinese Journal of Lasers, 2018, 45(12), 1211001.