Bayesian Hierarchical Alignment Methods
This chapter considers the problem of matching configurations of biological macromolecules when both alignment and superposition transformations are unknown. Alignment denotes correspondence – a bijection or mapping – between points in different structures according to some objectives or constraints. Superposition denotes rigid-body transformations, consisting of translations and rotations, that bring whole or partial configurations together, typically in Euclidean space, as closely as possible and according to some objectives or constraints.
KeywordsRoot Mean Square Deviation Shape Analysis Transformation Parameter Acceptance Probability Procrustes Analysis
We are thankful to Professor Peter Green and Dr. Yann Ruffieux for many useful discussions on ALIBI based approaches. Our thanks also go to Chris Fallaize and Zhengzheng Zhang for their helpful comments.