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

Citations Over TimeTop 22% of 1992 papers

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].

Related Papers

• → A 10-node tetrahedral element with condensed Lagrange multipliers for the modified couple stress theory(2021)20 cited
• → A background proportion adaptive Lagrange multiplier selection method for surveillance video on HEVC(2013)24 cited
• → New approaches to identification of the Lagrange multiplier in the variational iteration method(2014)12 cited
• → Lagrange Multiplier Method for Multi-campaign Assignment Problem(2004)4 cited
• → Development of Finite Element Domain Decomposition Method Using Local and Mixed Lagrange Multipliers(2012)4 cited