The document proposes a method for efficiently representing layered depth images (LDIs) to enable real-time volumetric tests on 3D meshes. The method involves creating an LDI of the mesh using depth peeling, calculating its bounding box, cropping the LDI, and compressing it in a lossless two-phase process. A volumetric parity test is developed that can determine if a point is inside or outside the volume by ray marching through the compressed LDI texture. Performance results show the compression achieves ratios of 1:2-3 with little overhead and enables real-time volumetric queries.

1. Matthias Trapp , Jürgen Döllner Hasso-Plattner-Institute, University of Potsdam, Germany 9 th June 2008 University of Manchester Efficient Representation of Layered Depth Images for Real-time Volumetric Tests

3. LDI Representation of Solid Meshes

7. Shader Implementation (GLSL)

12. Bounding Box Calculation & Cropping

17. VPT for Compressed LDI

18. Performance Results 23,232 34,344 2,903 6,146 768 994 #Vertex 0.58 0.32 0.39 0.58 1.44 1.78 C ration 1,835,528 1,089,288 1,204,352 3,317,888 3,011,058 3,742,848 M comp 3,143,880 3,358,720 3,026,688 5,683,200 2,097,152 2,097,152 M crop 9.265 12.187 8.469 7.172 3.085 2.532 t view 25.875 73.078 2.156 25.766 0.187 0.187 t peel 0.125 0.078 0.09 0.219 0.297 0.437 t comp 0.2 0.313 0.234 0.203 0.078 0.077 t crop 12 18 16 12 6 2 d max 6 10 8 6 2 2 d min Knot Hebe Cow Potato Complex Sphere