2019
DOI: 10.1016/j.cageo.2019.01.017
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A grid mapping algorithm for modeling with geometric transforms

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Cited by 2 publications
(3 citation statements)
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“…Isometric mapping algorithm is improved based on the multidimensional scaling algorithm. It adopts geodesic distance between nodes instead of Euclidean distance and realizes a nonlinear dimensionality reduction method through double centroid transformation [14]. In the high-dimensional space, suppose X � X 1 , .…”
Section: Multidimensional Scalingmentioning
confidence: 99%
“…Isometric mapping algorithm is improved based on the multidimensional scaling algorithm. It adopts geodesic distance between nodes instead of Euclidean distance and realizes a nonlinear dimensionality reduction method through double centroid transformation [14]. In the high-dimensional space, suppose X � X 1 , .…”
Section: Multidimensional Scalingmentioning
confidence: 99%
“…Then, the temperature and node deformations were solved by the thermo-elastic coupling method. The results at each time were inputted into the slave model (i.e., micro TBC) by the volume element intersection mapping algorithm [24]. The master-slave model was based on two assumptions: (a) The TGO hardly affects the temperature field in the TBC, and (b) the grid node deformation mainly depends on the temperature field at the macro scale [25].…”
Section: Slave Modelmentioning
confidence: 99%
“…To transfer the boundary displacement and body temperature data from the master model (i.e., source) to the slave model (i.e., target), we reasonably adopted the volume element intersection mapping algorithm [24]. The first step in the process of the volume element intersection mapping algorithm is to divide the mapping source mesh into an imaginary structured grid, with each grid section called a "bucket."…”
Section: Matching Of Master Model and Slave Modelmentioning
confidence: 99%