smooth_funct_1d_gaussT_smooth_funct_1d_gaussSmoothFunct1dGaussSmoothFunct1dGausssmooth_funct_1d_gauss (Operator)

Name

smooth_funct_1d_gaussT_smooth_funct_1d_gaussSmoothFunct1dGaussSmoothFunct1dGausssmooth_funct_1d_gauss — Smooth an equidistant 1D function with a Gaussian function.

Signature

smooth_funct_1d_gauss( : : Function, Sigma : SmoothedFunction)

Description

The operator smooth_funct_1d_gausssmooth_funct_1d_gaussSmoothFunct1dGaussSmoothFunct1dGausssmooth_funct_1d_gauss smooths a one-dimensional function with a Gaussian function. The function must be equidistant, i.e., created with create_funct_1d_arraycreate_funct_1d_arrayCreateFunct1dArrayCreateFunct1dArraycreate_funct_1d_array, sample_funct_1dsample_funct_1dSampleFunct1dSampleFunct1dsample_funct_1d or similar. At the function borders the function values are mirrored.

Note that the smoothing parameter SigmaSigmaSigmasigmasigma must not be larger than , with being the number of control points of FunctionFunctionFunctionfunctionfunction and specifying the equidistance of the x values. The value of LengthLengthLengthlengthlength can, e.g., be determined with num_points_funct_1dnum_points_funct_1dNumPointsFunct1dNumPointsFunct1dnum_points_funct_1d.

Execution Information

Multithreading type: reentrant (runs in parallel with non-exclusive operators).
Multithreading scope: global (may be called from any thread).
Processed without parallelization.

Parameters

FunctionFunctionFunctionfunctionfunction (input_control) function_1d → (real / integer)

Function to be smoothed.

SigmaSigmaSigmasigmasigma (input_control) number → (real)

Sigma of the Gaussian function for the smoothing.

Default: 2.0

Suggested values: 0.5, 1.0, 2.0, 3.0, 4.0, 5.0

Value range: 0.1 ≤ Sigma Sigma Sigma sigma sigma ≤ 50.0 (lin)

Minimum increment: 0.01

Recommended increment: 0.2

SmoothedFunctionSmoothedFunctionSmoothedFunctionsmoothedFunctionsmoothed_function (output_control) function_1d → (real / integer)

Smoothed function.

Possible Predecessors

create_funct_1d_arraycreate_funct_1d_arrayCreateFunct1dArrayCreateFunct1dArraycreate_funct_1d_array, sample_funct_1dsample_funct_1dSampleFunct1dSampleFunct1dsample_funct_1d

Possible Successors

match_funct_1d_transmatch_funct_1d_transMatchFunct1dTransMatchFunct1dTransmatch_funct_1d_trans, distance_funct_1ddistance_funct_1dDistanceFunct1dDistanceFunct1ddistance_funct_1d

Alternatives

smooth_funct_1d_meansmooth_funct_1d_meanSmoothFunct1dMeanSmoothFunct1dMeansmooth_funct_1d_mean

Module

Foundation