1. A method for automated industrial inspection of manufactured devices characterized by a repetitive array of similar objects, comprising: obtaining a set of observed projections of one or more objects under inspection that are members of said repetitive array; obtaining a highly constrained model of said objects under inspection based partially on or expressing some prior information about said objects under inspection; obtaining a distribution or density expressing prior probabilities, P(M), for all possible instances of said objects under inspection representable by said highly constrained model; obtaining a forward map capable of predicting the likelihood of observing specified projections that would result from any collection of objects representable by said highly constrained model; estimating a model of said objects under inspection based on said set of observed projections, said highly constrained model, said distribution or density expressing prior probabilities, and said forward map.