article

Determination of the regularization parameter in indirect-transform methods using perceptual criteria

Journal of Applied Crystallography · 1992 · Vol. 25(4) · pp. 495–503

Abstract

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].

Optical and Acousto-Optic Technologies Calibration and Measurement Techniques Infrared Target Detection MethodologiesRegularization (linguistics)Lagrange multiplierComputationMaximizationApplied mathematicsAlgorithmMathematicsSet (abstract data type)Computer scienceMathematical optimization

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PRIMUS: a Windows PC-based system for small-angle scattering data analysis