Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
Essential ray tracing algorithms
An introduction to ray tracing
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Imaging vector fields using line integral convolution
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Surface representations of two- and three-dimensional fluid flow topology
VIS '90 Proceedings of the 1st conference on Visualization '90
FAST: a multi-processed environment for visualization of computational fluid dynamics
VIS '90 Proceedings of the 1st conference on Visualization '90
The virtual windtunnel: an environment for the exploration of three-dimensional unsteady flows
VIS '91 Proceedings of the 2nd conference on Visualization '91
A tool for visualizing the topology of three-dimensional vector fields
VIS '91 Proceedings of the 2nd conference on Visualization '91
Virtual smoke: an interactive 3D flow visualization technique
VIS '92 Proceedings of the 3rd conference on Visualization '92
VIS '92 Proceedings of the 3rd conference on Visualization '92
Visualizing wind velocities by advecting cloud textures
VIS '92 Proceedings of the 3rd conference on Visualization '92
Flow volumes for interactive vector field visualization
VIS '93 Proceedings of the 4th conference on Visualization '93
Visualization of turbulent flow with particles
VIS '93 Proceedings of the 4th conference on Visualization '93
Fast and resolution independent line integral convolution
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Image-guided streamline placement
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Interactive visualization of 3D-vector fields using illuminated stream lines
Proceedings of the 7th conference on Visualization '96
Proceedings of the 7th conference on Visualization '96
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
3DSketch: modeling by digitizing with a smart 3D pen
MULTIMEDIA '97 Proceedings of the fifth ACM international conference on Multimedia
Fast oriented line integral convolution for vector field visualization via the Internet
VIS '97 Proceedings of the 8th conference on Visualization '97
The motion map: efficient computation of steady flow animations
VIS '97 Proceedings of the 8th conference on Visualization '97
Strategies for effectively visualizing 3D flow with volume LIC
VIS '97 Proceedings of the 8th conference on Visualization '97
VIS '97 Proceedings of the 8th conference on Visualization '97
Interactive exploration of volume line integral convolution based on 3D-texture mapping
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Visualizing planar vector fields with normal component using line integral convolution
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
PLIC: bridging the gap between streamlines and LIC
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
A continuous clustering method for vector fields
Proceedings of the conference on Visualization '00
Adding a scalar value to texture-based vector field representations by local contrast analysis
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
IEEE Transactions on Visualization and Computer Graphics
Fast Display of Illuminated Field Lines
IEEE Transactions on Visualization and Computer Graphics
Feature Extraction of Separation and Attachment Lines *
IEEE Transactions on Visualization and Computer Graphics
Anisotropic Diffusion in Vector Field Visualization on Euclidean Domains and Surfaces
IEEE Transactions on Visualization and Computer Graphics
A Phase Field Model for Continuous Clustering on Vector Fields
IEEE Transactions on Visualization and Computer Graphics
Vector Plots for Irregular Grids
VIS '95 Proceedings of the 6th conference on Visualization '95
Enhanced Spot Noise for Vector Field Visualization
VIS '95 Proceedings of the 6th conference on Visualization '95
Visualizing 3D velocity fields near contour surfaces
VIS '94 Proceedings of the conference on Visualization '94
High-Quality Animation of 2D Steady Vector Fields
IEEE Transactions on Visualization and Computer Graphics
ISA and IBFVS: Image Space-Based Visualization of Flow on Surfaces
IEEE Transactions on Visualization and Computer Graphics
Visualization of Vector Fields Using Seed LIC and Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
Image Space Based Visualization of Unsteady Flow on Surfaces
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
High-Quality and Interactive Animations of 3D Time-Varying Vector Fields
IEEE Transactions on Visualization and Computer Graphics
A Visualization of a Vector-field by a Homogenized Nascent-particles Tracking
Journal of Visualization
GPU-Based parallelization algorithm for 2d line integral convolution
ICSI'10 Proceedings of the First international conference on Advances in Swarm Intelligence - Volume Part I
Fast ray traversal of tetrahedral and hexahedral meshes for direct volume rendering
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Technical Section: Surface-based flow visualization
Computers and Graphics
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Line Integral Convolution (LIC), introduced by Cabral and Leedom in Siggraph '93, is a powerful technique for imaging and animating vector fields. We extend the LIC paradigm in three ways:1. The existing technique is limited to vector fields over a regular Cartesian grid. We extend it to vector fields over parametric surfaces, specifically those found in curvilinear grids, used in computational fluid dynamics simulations.2. Periodic motion filters can be used to animate the flow visualization. When the flow lies on a parametric surface, however, the motion appears misleading. We explain why this problem arises and show how to adjust the LIC algorithm to handle it.3. We introduce a technique to visualize vector magnitude as well as vector direction. Cabral and Leedom have suggested a method for variable-speed animation, which is based on varying the frequency of the filter function. We develop a different technique based on kernel phase shifts which we have found to show substantially better results.Our implementation of these algorithms utilizes texture-mapping hardware to run in real time, which allows them to be included in interactive applications.