Visualizing High-Order Symmetric Tensor Field Structure with Differential Operators

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="142923.fig.0011a" src="https://static.hindawi.com/articles/jam/volume-2011/142923/figures/142923.fig.0011a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Synthetic field <svg height="20.0625" id="M206" style="vertical-align:-3.3907pt" version="1.1" viewbox="0 0 200.825 20.0625" width="200.825" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="142923.fig.0011b" src="https://static.hindawi.com/articles/jam/volume-2011/142923/figures/142923.fig.0011b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b><svg height="16.6625" id="M207" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 43.737499 16.6625" width="43.737499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></td></tr></table></td></tr></table>

<table>Helmholtz decomposition results for fourth-order synthetic tensor field <svg height="16.6625" id="M205" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 167.16251 16.6625" width="167.16251" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>.</table>

Journal of Applied Mathematics

fig11

Figure 11

Figure 11: Visualizing High-Order Symmetric Tensor Field Structure with Differential Operators 