Index

Adaptive Transfer Function Sampling to Adaptive Transfer Function Sampling | Ray Integration

adaptive transfer func. sampling

attenuation

coefficient: Derivation of the Volume
versus opacity: Linear Interpolation of Opacity

back to front rendering

Piecewise Integration

balanced cell projection

GPU-CPU Balanced Cell Projection to GPU-CPU Balanced Cell Projection

basis graph

GPU Accelerated Projected Tetrahedra

binary space partitioning trees

blending

boundary faces

BSP-XMPVO

BSP trees

cell-ray intersections

Practical Implementations of Volume

cells

Introduction | Volume Rendering Overview

connectivity graph: Cell Traversal | Visibility Sorting
linear: Introduction
nonlinear: Introduction | Quick Review of View

cell projection

Volume Rendering Overview | Cell Projection

adaptive trans. func. sampling: Adaptive Transfer Function Sampling to Adaptive Transfer Function Sampling | Ray Integration
balanced: GPU-CPU Balanced Cell Projection to GPU-CPU Balanced Cell Projection
GATOR: GPU Accelerated Projected Tetrahedra to GPU Accelerated Projected Tetrahedra
projected tetrahedra: Projected Tetrahedra to Projected Tetrahedra
view independent: View Independent Cell Projection to View Independent Cell Projection | Quick Review of View to Quick Review of View

cell sorting

see visibility sorting

classification

Pre-Integration

color computations

Practical Implementations of Volume

color spectrum

Per Wavelength Calculation

complementary error function

Linear Interpolation of Luminance

compositing

conforming mesh

Cell Traversal

connected

connectivity

Adaptive Transfer Function Sampling

connectivity graph

Cell Traversal | Visibility Sorting

control point

convex

Projected Tetrahedra | Visibility Sorting

convex hull

DAG

Linear Interpolation of Luminance

Dawson's integral

Delaunay triangulation

depth sorting

see visibility sorting

directed acyclic graph

direct volume visualization

Introduction

$\mathrm{erf}$

Linear Interpolation of Luminance

$\mathrm{erfc}$

$\mathrm{erfi}$

error function

complementary: Linear Interpolation of Luminance
imaginary: Linear Interpolation of Volume

external faces

Cell Traversal

faces

external: Cell Traversal
internal: Cell Traversal

fragment

Proposed Graphics Hardware Extension | Color Computations

fragment processing

frame buffer

GPU Accelerated Projected Tetrahedra to GPU Accelerated Projected Tetrahedra

front to back rendering

Piecewise Integration

ganglion cell

Cell Boundary Smoothness

GATOR

Gaussian

Gaussian Attenuation

geometric processing

Proposed Graphics Hardware Extension | Cell-Ray Intersections

geometry

View Independent Cell Projection

glow

Glow Parameter

gradient

graphics hardware

volume rendering: Proposed Graphics Hardware Extension to Proposed Graphics Hardware Extension

graphics pipeline

grid

see mesh

hole

image-order rendering

Ray Casting

image blending

image compositing

imaginary error function

intensity

internal faces

Cell Traversal

linear cells

see cells, linear

luminance

Average Luminance and Attenuation | Cell Boundary Smoothness

Mach bands

mesh

cell: Volume Rendering Overview
conforming: Cell Traversal
connected: Visibility Sorting
connectivity: Volume Rendering Overview
convex: Visibility Sorting
geometry: Volume Rendering Overview
hole: Visibility Sorting
rectilinear: Volume Rendering Overview
structured: Volume Rendering Overview
topology: Volume Rendering Overview
uniform: Volume Rendering Overview
unstructured: Introduction | Volume Rendering Overview
vertex: Volume Rendering Overview

MPVO

MPVOC

MPVONC

multiple scattering

Rectilinear Grid Resampling

nonlinear cells

see cells, nonlinear

normal distribution

see Gaussian

object-aligned slicing

object-order rendering

Cell Projection

opacity

Opacity and Blending | Linear Interpolation of Opacity

versus attenuation: Linear Interpolation of Opacity

optical model

The Volume Rendering Integral

order independent

Only Attenuation

ostrich algorithm

over operator

partial pre-integration

Computing $\Psi$

pixel

Porter and Duff

power distance

pre-integration

Pre-Integration

primitive

projected tetrahedra

Projected Tetrahedra to Projected Tetrahedra

Psi clipping

Domain of $\Psi$

R-buffer

Proposed Graphics Hardware Extension | Quick Review of View

rasterization

Cell Projection

rasterize

ray casting

Volume Rendering Overview | Ray Casting

ray tracing

Ray Casting

rectilinear mesh

Per Wavelength Calculation

RGB color space

Riemann sum

Completely Homogeneous | Riemann Sum

scattering

screen door transparency

shadowing

Rectilinear Grid Resampling

shear-warp factorization

simple

Projected Tetrahedra

simplex

Projected Tetrahedra

structured mesh

sweep

Sweeping

line: Sweeping
plane: Sweeping | Visibility Sorting

topology

transfer function

Gaussian Attenuation | Pre-Integration

under operator

uniform mesh

unstructured mesh

Volume Rendering Overview | Proposed Graphics Hardware Extension

vertex

view-aligned slicing

Rectilinear Grid Resampling

view independent cell projection

View Independent Cell Projection to View Independent Cell Projection | Quick Review of View to Quick Review of View

visibility cycle

Derivation of the Volume to Derivation of the Volume

visibility sorting

Only Attenuation | Visibility Sorting to Visibility Sorting

BSP-XMPVO: Visibility Sorting
BSP Trees: Visibility Sorting
MPVO: Visibility Sorting
MPVOC: Visibility Sorting
MPVONC: Visibility Sorting
XMPVO: Visibility Sorting

volume model

volume rendering

Introduction

hardware accelerated: see graphics hardware, volume rendering

volume rendering integral

The Volume Rendering Integral to Linear Interpolation of Volume

closed forms: Closed Forms of the to Linear Interpolation of Volume
derivation: Derivation of the Volume to Derivation of the Volume
equation for: Derivation of the Volume to Derivation of the Volume
model: Derivation of the Volume to Derivation of the Volume
properties: Properties of the Volume to Piecewise Integration

voxel

Introduction | Volume Rendering Overview

wavelength

Per Wavelength Calculation

XMPVO

z-buffer algorithm