An Optical Model for Translucent Volume Rendering and Its Implementation Using the Preintegrated Shear-Warp Algorithm

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="429051.fig.004a" src="https://static-preview.hindawi.com/articles/ijbi/volume-2010/429051/figures/429051.fig.004a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Traditional approximation, at any sample <svg height="15.0875" id="M197" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 27.762501 15.0875" width="27.762501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>, scattered from all directions over the unit sphere <svg height="11.425" id="M198" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 12.9875 11.425" width="12.9875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.363)"><path d="M719 146l-18 -146h-243l-5 18q2 4 17 25t24 36l25 42t26.5 52.5t21 56.5t16 65t5.5 68q0 121 -55.5 194.5t-149.5 73.5q-95 0 -150 -72t-55 -199q0 -54 18.5 -114t36.5 -94t48.5 -82.5t32.5 -51.5l-7 -18h-244l-17 146l27 1q17 -49 31.5 -62t45.5 -13h89l-21 21t-26 26.5
l-26 29t-28 35.5l-23 37.5t-20.5 43t-12 45.5t-5.5 51q0 133 88 218.5t219 85.5q132 0 218 -83t86 -218q0 -40 -11.5 -78t-33 -71.5t-39 -56t-44 -51t-32.5 -35.5h84q35 0 48 12t31 63z" id="x3A9"></path></g>
</svg></td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="429051.fig.004b" src="https://static-preview.hindawi.com/articles/ijbi/volume-2010/429051/figures/429051.fig.004b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Our approximation, only considering light scattered in the forward direction within the cone of directions</td></tr></table></td></tr></table>

<table>Indirect scattering approximation comparisons.</table>

International Journal of Biomedical Imaging

fig4

Figure 4

Figure 4: An Optical Model for Translucent Volume Rendering and Its Implementation Using the Preintegrated Shear-Warp Algorithm 