Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
Computational geometry: algorithms and applications
Computational geometry: algorithms and applications
Geometric modeling applications in rational drug design: a survey
Computer Aided Geometric Design - Special issue: Applications of geometric modeling in the life sciences
Geometric modeling applications in rational drug design: a survey
Computer Aided Geometric Design - Special issue: Applications of geometric modeling in the life sciences
Adaptive skin meshes coarsening for biomolecular simulation
Computer Aided Geometric Design
WαSH: weighted α-shapes for local feature detection
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part II
Hi-index | 0.00 |
Distance-dependent, pairwise, statistical potentials are based on the concept that the packing observed in known protein structures can be used as a reference for comparing different 3D models for a protein. Here, packing refers to the set of all pairs of atoms in the molecule. Among all methods developed to assess three-dimensional models, statistical potentials are subject both to praise for their power of discrimination, and to criticism for the weaknesses of their theoretical foundations. Classical derivations of pairwise potentials assume statistical independence of all pairs of atoms. This assumption, however, is not valid in general. We show that we can filter the list of all interactions in a protein to generate a much smaller subset of pairs that retains most of the structural information contained in proteins. The filter is based on a geometric method called alpha shapes that captures the packing in a conformation. Statistical scoring functions derived from such subsets perform as well as scoring functions derived from the set of all pairwise interactions.