Robust Comparison of Three-Dimensional Shapes with an Application to Protein Molecule Configurations.
Abstract
Robust statistical methods have recently been shown to have desirable properties when used for the identification of similarities and differences in shape. We present a generalization of the two-dimensional repeated median algorithm to three and higher dimensions. The extension is achieved using a duality between orthogonal and skew-symmetric matrices, which permits the definition of a median of a collection of orthogonal matrices. The methods are illustrated by comparing the predicted three-dimensional configuration of a protein molecule to a refined structure that had been found using nuclear magnetic resonance techniques. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1982
- Accession Number
- ADA113786
Entities
People
- Andrew F. Siegel
- John R. Pinkerton
Organizations
- Princeton University