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
• $c_i={\int }_0^{L}g(t)e^{-{\int }_t^L\kappa (t^{\prime })d_t}d{t}^{\prime }$
• $o_i=e^{{\int }_0^L\kappa (t)}{d}_t$
•