Parallelized Natural Extension Reference Frame: Parallelized Conversion from Internal to Cartesian Coordinates
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DOI: 10.1002/jcc.25772
Abstract: The conversion of polymer parameterization from internal coordinates (bond lengths, angles, and torsions) to Cartesian coordinates is a fundamental task in molecular modeling, often performed using the natural extension reference frame (NeRF) algorithm. NeRF can… read more here.
Keywords: natural extension; extension reference; conversion; cartesian coordinates ... See more keywords
Incompatible modes with Cartesian coordinates and application in quadrilateral finite element formulation
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DOI: 10.1007/s40314-015-0262-z
Abstract: Incompatible modes with parametric coordinates are widely used in finite element method to develop low-order elements with high accuracy. But it leads to unstable results and must be used along with the constant Jacobian matrix… read more here.
Keywords: incompatible modes; finite element; cartesian coordinates; modes cartesian ... See more keywords
Learning Correlations between Internal Coordinates to Improve 3D Cartesian Coordinates for Proteins.
Sign Up to like & getrecommendations! Published in 2022 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.2c01270
Abstract: We consider a generic representation problem of internal coordinates (bond lengths, valence angles, and dihedral angles) and their transformation to 3-dimensional Cartesian coordinates of a biomolecule. We show that the internal-to-Cartesian process relies on correctly… read more here.
Keywords: correlations internal; internal coordinates; cartesian coordinates; learning correlations ... See more keywords
Evaluating Atlantoaxial Dislocation Based on Cartesian Coordinates: Proposing a New Definition and Its Impact on Assessment of Congenital Torticollis
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DOI: 10.1093/neuros/nyx196
Abstract: BACKGROUND Conventional 2-dimensional (2-D) definition of atlantoaxial dislocation (AAD) is inadequate for coexisting 3-D displacements. OBJECTIVE To prospectively classify AAD and its related abnormalities along 3 Cartesian coordinates and assess their association with torticollis. METHODS… read more here.
Keywords: central dislocation; dislocation; translational dislocation; cartesian coordinates ... See more keywords
Optimum Balancing of the Four-Bar Linkage Using Fully Cartesian Coordinates
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DOI: 10.1109/tla.2019.8896821
Abstract: This article presents the design optimization of the four-bar linkage for the reduction of the Shaking Force and the Shaking Moment. It is followed a novel procedure based on fully Cartesian Coordinates (Natural Coordinates) and… read more here.
Keywords: four bar; fully cartesian; bar linkage; cartesian coordinates ... See more keywords
Cartesian coordinates scaffold stable spatial perception over time
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Vision"
DOI: 10.1167/jov.22.8.13
Abstract: Visual systems exploit temporal continuity principles to achieve stable spatial perception, manifested as the serial dependence and central tendency effects. These effects are posited to reflect a smoothing process whereby past and present information integrates… read more here.
Keywords: time; coordinates scaffold; spatial perception; stable spatial ... See more keywords