Publication | Closed Access
Determination of the regularization parameter in indirect-transform methods using perceptual criteria
3.8K
Citations
0
References
1992
Year
Numerical AnalysisEngineeringSimple CriteriaRegularization ParameterPattern RecognitionComputational ImagingModel ComputationsPublic HealthRegularization (Mathematics)StatisticsReconstruction TechniqueInverse Scattering TransformsInverse ProblemsDeconvolutionPerceptual CriteriaFunctional Data AnalysisSignal ProcessingRadar ScatteringIndirect Transform TechniquesWave ScatteringHigh-frequency ApproximationIndirect-transform MethodsIntegral Transform
The study proposes a method to determine the optimal regularization parameter for indirect transform techniques in small‑angle scattering data analysis. The method uses perceptual criteria to build a total estimate of solution quality, maximizes this estimate to select the regularization parameter, and is implemented in the GNOM program. Model computations demonstrate the effectiveness of the technique. Acta Cryst.
A method is proposed for the determination of the optimum value of the regularization parameter (Lagrange multiplier) when applying indirect transform techniques in small-angle scattering data analysis. The method is based on perceptual criteria of what is the best solution. A set of simple criteria is used to construct a total estimate describing the quality of the solution. Maximization of the total estimate is straightforward. Model computations show the effectiveness of the technique. The method is implemented in the program GNOM [Svergun, Semenyuk & Feigin (1988). Acta Cryst. A44, 244–250].