Contents

• List of Figures
• List of Tables
• Introduction
  • Volume Rendering Overview
  • Proposed Graphics Hardware Extension
  • Thesis Contribution
  
  
• The Volume Rendering Integral
  • Derivation of the Volume Rendering Integral
  • Properties of the Volume Rendering Integral
    • Per Wavelength Calculation
    • Glow Parameter
    • Opacity and Blending
    • Piecewise Integration
  • Closed Forms of the Volume Rendering Integral
    • Only Attenuation
    • Only Emission
    • Completely Homogeneous
    • Homogeneous Particles with Variable Density
    • Linear Interpolation of Volume Parameters
  
  
• Practical Implementations of Volume Rendering
  • Cell-Ray Intersections
    • Ray Casting
    • Cell Projection
    • Rectilinear Grid Resampling
  • Color Computations
    • Riemann Sum
    • Average Luminance and Attenuation
    • Linear Interpolation of Luminance and Intensity
    • Gaussian Attenuation
    • Pre-Integration
  • Summary
  
  
• Cell Projection
  • Quick Review of View Independent Cell Projection
  • GPU-CPU Balanced Cell Projection
  • Adaptive Transfer Function Sampling
  • Synopsis
  
  
• Ray Integration
  • Linear Interpolation of Luminance
  • Linear Interpolation of Attenuation
    • Computing $\zeta$
    • Computing $\Psi$
    • Domain of $\Psi$
    • Resolution of $\Psi$ Table
  • Linear Interpolation of Opacity
    • Initial Approximation
    • Improved Approximation
  • Synopsis
  
  
• Results and Comparisons
  • Speed
    • Cell Projection
    • Ray Integration
  • Accuracy
  • Cell Boundary Smoothness
  
  
• Conclusions
• Computing Pre-Integration Tables with Mathematica
• Vertex and Fragment Programs
  • Clipped Tetrahedron Projection Vertex Program
  • Fragment Program for Clipped Tetrahedron Projection
  • Volume Rendering Integral with Linear Attenuation and Luminance
  • Volume Rendering Integral with Partial Pre-Integration
  • Volume Rendering Integral with Linear Opacity and Luminance, Rough Approximation
  • Volume Rendering Integral with Linear Opacity and Luminance, Close Approximation
  
  
• Bibliography
• Index
• About this document ...