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An efficient algorithm for mapping imaging data to 3D unstructured grids in computational biomechanics.

ABSTRACT: Geometries for organ scale and multiscale simulations of organ function are now routinely derived from imaging data. However, medical images may also contain spatially heterogeneous information other than geometry that are relevant to such simulations either as initial conditions or in the form of model parameters. In this manuscript, we present an algorithm for the efficient and robust mapping of such data to imaging-based unstructured polyhedral grids in parallel. We then illustrate the application of our mapping algorithm to three different mapping problems: (i) the mapping of MRI diffusion tensor data to an unstructured ventricular grid; (ii) the mapping of serial cyrosection histology data to an unstructured mouse brain grid; and (iii) the mapping of computed tomography-derived volumetric strain data to an unstructured multiscale lung grid. Execution times and parallel performance are reported for each case.

SUBMITTER: Einstein DR

PROVIDER: S-EPMC6188672 | biostudies-other | 2013 Jan

REPOSITORIES: biostudies-other

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An efficient algorithm for mapping imaging data to 3D unstructured grids in computational biomechanics.

Einstein Daniel R DR Kuprat Andrew P AP Jiao Xiangmin X Carson James P JP Einstein David M DM Jacob Richard E RE Corley Richard A RA

International journal for numerical methods in biomedical engineering 20120516 1

Geometries for organ scale and multiscale simulations of organ function are now routinely derived from imaging data. However, medical images may also contain spatially heterogeneous information other than geometry that are relevant to such simulations either as initial conditions or in the form of model parameters. In this manuscript, we present an algorithm for the efficient and robust mapping of such data to imaging-based unstructured polyhedral grids in parallel. We then illustrate the applic ...[more]

PMID: 23293066

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Project description:Objectives:Decades of empirical research demonstrate that crime is concentrated at a range of spatial scales, including street segments. Further, the degree of clustering at particular geographic units remains noticeably stable and consistent; a finding that Weisburd (Criminology 53:133-157, 2015) has recently termed the 'law of crime concentration at places'. Such findings suggest that the future locations of crime should-to some extent at least-be predictable. To date, methods of forecasting where crime is most likely to next occur have focused either on area-level or grid-based predictions. No studies of which we are aware have developed and tested the accuracy of methods for predicting the future risk of crime at the street segment level. This is surprising given that it is at this level of place that many crimes are committed and policing resources are deployed. Methods:Using data for property crimes for a large UK metropolitan police force area, we introduce and calibrate a network-based version of prospective crime mapping [e.g. Bowers et al. (Br J Criminol 44:641-658, 2004)], and compare its performance against grid-based alternatives. We also examine how measures of predictive accuracy can be translated to the network context, and show how differences in performance between the two cases can be quantified and tested. Results:Findings demonstrate that the calibrated network-based model substantially outperforms a grid-based alternative in terms of predictive accuracy, with, for example, approximately 20 % more crime identified at a coverage level of 5 %. The improvement in accuracy is highly statistically significant at all coverage levels tested (from 1 to 10 %). Conclusions:This study suggests that, for property crime at least, network-based methods of crime forecasting are likely to outperform grid-based alternatives, and hence should be used in operational policing. More sophisticated variations of the model tested are possible and should be developed and tested in future research.

Dataset Information

An efficient algorithm for mapping imaging data to 3D unstructured grids in computational biomechanics.

Publications

An efficient algorithm for mapping imaging data to 3D unstructured grids in computational biomechanics.

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