Rendering fur with three dimensional textures
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Some techniques for visualizing surfaces in four-dimensional space
Computer-Aided Design - Beyond solid modelling
Beyond the Third Dimension: Geometry, Computer Graphics, and Higher Dimensions
Beyond the Third Dimension: Geometry, Computer Graphics, and Higher Dimensions
Illuminating the Fourth Dimension
IEEE Computer Graphics and Applications
Visualizing the fourth dimension using geometry and light
VIS '91 Proceedings of the 2nd conference on Visualization '91
Four-dimensional views of 3D scalar fields
VIS '92 Proceedings of the 3rd conference on Visualization '92
Illumination in diverse codimensions
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Complex-valued contour meshing
Proceedings of the 7th conference on Visualization '96
Visualizing the behavior of higher dimensional dynamical systems
VIS '97 Proceedings of the 8th conference on Visualization '97
Hypervolume visualization: a challenge in simplicity
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Isosurfacing in higher dimensions
Proceedings of the conference on Visualization '00
Space-time points: 4d splatting on efficient grids
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Quaternion Frame Approach to Streamline Visualization
IEEE Transactions on Visualization and Computer Graphics
Visualization of Analytically Defined Dynamical Systems
Dagstuhl '97, Scientific Visualization
Chronovolumes: a direct rendering technique for visualizing time-varying data
VG '03 Proceedings of the 2003 Eurographics/IEEE TVCG Workshop on Volume graphics
Visualizing flow with quaternion frames
VIS '94 Proceedings of the conference on Visualization '94
Virtual reality performance for virtual geometry
VIS '94 Proceedings of the conference on Visualization '94
Visibility Culling for Time-Varying Volume Rendering Using Temporal Occlusion Coherence
VIS '04 Proceedings of the conference on Visualization '04
High Dimensional Direct Rendering of Time-Varying Volumetric Data
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Visualizing quaternions: course notes for Siggraph 2007
ACM SIGGRAPH 2007 courses
VG'05 Proceedings of the Fourth Eurographics / IEEE VGTC conference on Volume Graphics
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Making accurate computer graphics representations of surfaces and volumes (2-manifolds and 3-manifolds) embedded in four-dimensional space typically involves complex and time-consuming computations. In order to make simulated worlds that help develop human intuition about the fourth dimension, we need techniques that permit real-time, interactive manipulation of the most sophisticated depictions available. We propose the following new methods that bring us significantly closer to this goal: an approach to high-speed 4D illuminated surface rendering incorporating 4D shading and occlusion coding; a procedure for rapidly generating 2D screen images of tessellated 3-manifolds illuminated by 4D light. These methods are orders of magnitude faster than previous approaches, enabling the real-time manipulation of high-resolution 4D images on commercial graphics hardware.