Extraction of well-fitting substructures: root-mean-square deviation and the difference distance matrix

On Weighted Pcm and Mean Square Deviation

Optimization of xenon-enhanced CT studies: beam energy, enhancement, root mean square deviation, and repeatability.

The effects of varying beam energy on the computed tomographic (CT) enhancement-to-noise (S:N) ratio were studied experimentally with the DeltaScan 2020 and GE 8800 CT scanners and a 20-cm-diameter cyclindrical Plexiglas phantom containing 11 50 ml syringes filled with varying amounts of xenon and iodine. Enhancements of 54.2, 36.7, and 31.7 Hounsfield units (H)/mg l/ml were measured with the D...

Root Mean Square Deviation Probability Analysis of Molecular Dynamics Trajectories on DNA

The comparison and detection of the commonalities and differences in multiple structural ensembles is an important step in the use of molecular simulations to gain insight into the conformation and dynamics of complex biomacromolecules. While the average structure is often employed as the representative of an ensemble of structures in such comparisons, dynamic molecular systems with multiple co...

Euclidean Distance Matrix Analysis (EDMA): Estimation of mean form and mean form difference

Euclidean Distance Matrix Analysis (EDMA) of form is a coordinate free approach to the analysis o f form using landmark data. In this paper, the problem of estimation of mean form, variancecovariance matrix, and mean form difference under the Gaussian perturbation model is considered using EDMA. The suggested estimators are based on the method of moments. They are shown to be consistent, that i...

Efficient Approximate 3-Dimensional Point Set Matching Using Root-Mean-Square Deviation Score

In this paper, we study approximate point subset match (APSM) problem with minimum RMSD score under translation, rotation, and one-to-one correspondence in d-dimension. Since this problem seems computationally much harder than the previously studied APSM problems with translation only or distance evaluation only, we focus on speed-up of exhaustive search algorithms that can find all approximate...