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FieldML: concepts and implementation.

Christie GR, Nielsen PM, Blackett SA, Bradley CP, Hunter PJ - Philos Trans A Math Phys Eng Sci (2009)

Bottom Line: It comprises a rich set of operators for defining generalized fields as functions of other fields, starting with basic domain fields including sets of discrete objects and coordinate systems.It is extensible by adding new operators and by their arbitrary combination in expressions, making it well suited for describing the inherent complexity of biological materials and organ systems.It outlines current implementations in established, open source computation and visualization software, both drawing on decades of bioengineering modelling software development experience.

View Article: PubMed Central - PubMed

Affiliation: Auckland Bioengineering Institute, University of Auckland, Auckland 1142, New Zealand. r.christie@auckland.ac.nz

ABSTRACT
The field modelling language FieldML is being developed as a standard for modelling and interchanging field descriptions in software, suitable for a wide range of computation techniques. It comprises a rich set of operators for defining generalized fields as functions of other fields, starting with basic domain fields including sets of discrete objects and coordinate systems. It is extensible by adding new operators and by their arbitrary combination in expressions, making it well suited for describing the inherent complexity of biological materials and organ systems. This paper describes the concepts behind FieldML, including a simple example of a spatially varying finite-element field. It outlines current implementations in established, open source computation and visualization software, both drawing on decades of bioengineering modelling software development experience.

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(a–d) Adaptive refinement of a mesh to represent detail of a cut.
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fig5: (a–d) Adaptive refinement of a mesh to represent detail of a cut.

Mentions: The second hierarchical meshing concept is adaptive refinement, where the density of piecewise functions making up a field is increased to approach a solution to the desired accuracy. Figure 5a–c illustrates regular refinement of an initially two-element mesh in selected elements while figure 5d illustrates irregular refinement by triangles to fit the line of a cut to the body.


FieldML: concepts and implementation.

Christie GR, Nielsen PM, Blackett SA, Bradley CP, Hunter PJ - Philos Trans A Math Phys Eng Sci (2009)

(a–d) Adaptive refinement of a mesh to represent detail of a cut.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC2665020&req=5

fig5: (a–d) Adaptive refinement of a mesh to represent detail of a cut.
Mentions: The second hierarchical meshing concept is adaptive refinement, where the density of piecewise functions making up a field is increased to approach a solution to the desired accuracy. Figure 5a–c illustrates regular refinement of an initially two-element mesh in selected elements while figure 5d illustrates irregular refinement by triangles to fit the line of a cut to the body.

Bottom Line: It comprises a rich set of operators for defining generalized fields as functions of other fields, starting with basic domain fields including sets of discrete objects and coordinate systems.It is extensible by adding new operators and by their arbitrary combination in expressions, making it well suited for describing the inherent complexity of biological materials and organ systems.It outlines current implementations in established, open source computation and visualization software, both drawing on decades of bioengineering modelling software development experience.

View Article: PubMed Central - PubMed

Affiliation: Auckland Bioengineering Institute, University of Auckland, Auckland 1142, New Zealand. r.christie@auckland.ac.nz

ABSTRACT
The field modelling language FieldML is being developed as a standard for modelling and interchanging field descriptions in software, suitable for a wide range of computation techniques. It comprises a rich set of operators for defining generalized fields as functions of other fields, starting with basic domain fields including sets of discrete objects and coordinate systems. It is extensible by adding new operators and by their arbitrary combination in expressions, making it well suited for describing the inherent complexity of biological materials and organ systems. This paper describes the concepts behind FieldML, including a simple example of a spatially varying finite-element field. It outlines current implementations in established, open source computation and visualization software, both drawing on decades of bioengineering modelling software development experience.

Show MeSH