Pre Integrated Volume Rendering¶

• Assume
  • Linear interpolations of scalar values in a ray segment
  • Constant length of ray segment L
• Pre computation from a slab
• \[s_{L}(t) = s_{b}+ \frac{t}{L}(s_{f}-s_{b})\]
• becomes
• \[c_{i}= \int_{0}^{L}g(t)e^{-\int_{t}^{L}{\kappa(t')d_{t}}}dt' \]
• \[o_{i}= e^{\int_{0}^{L}\kappa(t)}d_{t} \]
•