An Overview of the Topological Gradient Approach in Image Processing: Advantages and Inconveniences

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="761783.fig.007a" src="https://static.hindawi.com/articles/jam/volume-2010/761783/figures/761783.fig.007a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Original image</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="761783.fig.007b" src="https://static.hindawi.com/articles/jam/volume-2010/761783/figures/761783.fig.007b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Noised sinogram (<svg height="11.6875" id="M233" style="vertical-align:-0.20473pt" version="1.1" viewbox="0 0 66.900002 11.6875" width="66.900002" 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="c"><td><img alt="761783.fig.007c" src="https://static.hindawi.com/articles/jam/volume-2010/761783/figures/761783.fig.007c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>Reconstructed image (<svg height="11.6875" id="M234" style="vertical-align:-0.20473pt" version="1.1" viewbox="0 0 96.675003 11.6875" width="96.675003" 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>Reconstruction of the Shepp-Logan head phantom using the topological gradient method.</table>

Journal of Applied Mathematics

fig7

Figure 7

Figure 7: An Overview of the Topological Gradient Approach in Image Processing: Advantages and Inconveniences 