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smooth_funct_1d_gaussT_smooth_funct_1d_gaussSmoothFunct1dGaussSmoothFunct1dGauss (Operator)

Name

smooth_funct_1d_gaussT_smooth_funct_1d_gaussSmoothFunct1dGaussSmoothFunct1dGauss — Smooth an equidistant 1D function with a Gaussian function.

Signature

smooth_funct_1d_gauss( : : Function, Sigma : SmoothedFunction)

Herror T_smooth_funct_1d_gauss(const Htuple Function, const Htuple Sigma, Htuple* SmoothedFunction)

void SmoothFunct1dGauss(const HTuple& Function, const HTuple& Sigma, HTuple* SmoothedFunction)

HFunction1D HFunction1D::SmoothFunct1dGauss(double Sigma) const

static void HOperatorSet.SmoothFunct1dGauss(HTuple function, HTuple sigma, out HTuple smoothedFunction)

HFunction1D HFunction1D.SmoothFunct1dGauss(double sigma)

Description

The operator smooth_funct_1d_gausssmooth_funct_1d_gaussSmoothFunct1dGaussSmoothFunct1dGaussSmoothFunct1dGauss smooths a one-dimensional function with a Gaussian function. The function must be equidistant, i.e., created with create_funct_1d_arraycreate_funct_1d_arrayCreateFunct1dArrayCreateFunct1dArrayCreateFunct1dArray, sample_funct_1dsample_funct_1dSampleFunct1dSampleFunct1dSampleFunct1d or similar. At the function borders the function values are mirrored.

Note that the smoothing parameter SigmaSigmaSigmaSigmasigma must not be larger than (LengthLengthLengthLengthlength-2)/7.8, with LengthLengthLengthLengthlength being the number of control points of FunctionFunctionFunctionFunctionfunction. The value of LengthLengthLengthLengthlength can, e.g., be determined with num_points_funct_1dnum_points_funct_1dNumPointsFunct1dNumPointsFunct1dNumPointsFunct1d.

Execution Information

Parameters

FunctionFunctionFunctionFunctionfunction (input_control)  function_1d → HFunction1D, HTupleHTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)

Function to be smoothed.

SigmaSigmaSigmaSigmasigma (input_control)  number → HTupleHTupleHtuple (real) (double) (double) (double)

Sigma of the Gaussian function for the smoothing.

Default value: 2.0

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

Typical range of values: 0.1 ≤ Sigma Sigma Sigma Sigma sigma ≤ 50.0 (lin)

Minimum increment: 0.01

Recommended increment: 0.2

SmoothedFunctionSmoothedFunctionSmoothedFunctionSmoothedFunctionsmoothedFunction (output_control)  function_1d → HFunction1D, HTupleHTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)

Smoothed function.

Possible Predecessors

create_funct_1d_arraycreate_funct_1d_arrayCreateFunct1dArrayCreateFunct1dArrayCreateFunct1dArray, sample_funct_1dsample_funct_1dSampleFunct1dSampleFunct1dSampleFunct1d

Possible Successors

match_funct_1d_transmatch_funct_1d_transMatchFunct1dTransMatchFunct1dTransMatchFunct1dTrans, distance_funct_1ddistance_funct_1dDistanceFunct1dDistanceFunct1dDistanceFunct1d

Alternatives

smooth_funct_1d_meansmooth_funct_1d_meanSmoothFunct1dMeanSmoothFunct1dMeanSmoothFunct1dMean

Module

Foundation

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