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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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Continuous domains: (a) coordinate system chart covering R3; (b) chart restricted to [0,1] in two dimensions; (c) mesh or atlas, a set of element charts; and (d) mesh without connectivity are shown.
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fig2: Continuous domains: (a) coordinate system chart covering R3; (b) chart restricted to [0,1] in two dimensions; (c) mesh or atlas, a set of element charts; and (d) mesh without connectivity are shown.

Mentions: Figure 2 illustrates several continuous and piecewise continuous domains.


FieldML: concepts and implementation.

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

Continuous domains: (a) coordinate system chart covering R3; (b) chart restricted to [0,1] in two dimensions; (c) mesh or atlas, a set of element charts; and (d) mesh without connectivity are shown.
© Copyright Policy - open-access
Related In: Results  -  Collection

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

fig2: Continuous domains: (a) coordinate system chart covering R3; (b) chart restricted to [0,1] in two dimensions; (c) mesh or atlas, a set of element charts; and (d) mesh without connectivity are shown.
Mentions: Figure 2 illustrates several continuous and piecewise continuous domains.

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