List of Figures

| Table of Contents | List of Figures | List of Examples |

Figure 1-1. Volumetric Rendering

Figure 1-2. OpenGL Volumizer in Relation to Other Graphics APIs

Figure 2-1. Geometric Primitives

Figure 2-2. Abstract Data Set

Figure 2-3. Colored Cubes

Figure 2-4. Similarities Between Two- and Three-Dimensional Shapes

Figure 2-5. Volume Deformation

Figure 2-6. Jaw Modeled as a Separate Part

Figure 2-7. Per-part Properties.

Figure 2-8. Finely Tessellated Shape

Figure 2-9. Tetrahedral Decomposition of Cubic Geometry

Figure 2-10. Tessellation of Spherical Geometry

Figure 2-11. Volumetric Primitives

Figure 2-12. Processing Order

Figure 2-13. Volume Rendering as Texture Mapping

Figure 2-14. Ray Casting Processing order

Figure 2-15. Volume Slicing

Figure 2-16. Non Uniform Interpolation

Figure 2-17. Brick Set

Figure 2-18. Data Replication for Two-dimensional Texturing

Figure 2-19. Brick Overlap

Figure 2-20. Bricks Overlapping

Figure 2-21. Polygonal Slices of a Tetrahedron

Figure 2-22. Face Sets Spanning Two Bricks Stacked Vertically

Figure 3-1. Five Tetrahedra Defining a Cube

Figure 3-2. Indexed Vertices

Figure 3-3. voFaceSets

Figure 3-4. Sampling Surface

Figure 3-5. A Volume Polygonized Using VIEWPORT_ALIGNED and AXIS_ALIGNED Sampling

Figure 3-6. Sampling Spaces

Figure 3-7. Increasing Sampling Rate

Figure 5-1. Volumizer Class Hierarchy Divided By Function

Figure 6-1. Indexed Face Sets

Figure 6-2. Arbitrarily Shaped VOI

Figure 6-3. Geometric (Sunglasses) and Volumetric Objects Rendered Together

Figure 6-4. Overlapping Volumes

Figure 6-5. Merging Multiple Volumes

Figure 6-6. MPR with Two-Dimensional Texture Mapping

Figure 6-7. MPR Bands

Figure 6-8. Shading Off and On

Figure 6-9. Volume of Interest

Figure 7-1. Data Formats

Figure 7-2. Voxel Coordinates

Figure 8-1. Polygonization of a Single Tetrahedron.

Figure A-1. voglSpaceLeap: Space Leaping Example

Figure A-2. voglSphere: A Spherical Region of Interest

Figure A-3. voglPick: Voxel Picking Example

Figure A-4. voglMirror: A Muti-pass Reflection Algorithm on a Heterogeneous Scene

Figure A-5. Clipping Volumes to Arbitrary Surfaces

Figure A-6. Free-form Deformation of Volumes