Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
A polygonal approximation to direct scalar volume rendering
VVS '90 Proceedings of the 1990 workshop on Volume visualization
Visibility-ordering meshed polyhedra
ACM Transactions on Graphics (TOG)
A volume density optical model
VVS '92 Proceedings of the 1992 workshop on Volume visualization
Efficient subdivision of finite-element datasets into consistent tetrahedra
VIS '97 Proceedings of the 8th conference on Visualization '97
Interval volume tetrahedrization
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
Tetrahedral projection using vertex shaders
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Hardware-based view-independent cell projection
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Consistent subdivision of convex polyhedra into tetrahedra
Journal of Graphics Tools
Volumetric Data Exploration Using Interval Volume
IEEE Transactions on Visualization and Computer Graphics
A High Accuracy Volume Renderer for Unstructured Data
IEEE Transactions on Visualization and Computer Graphics
Illuminating the Fourth Dimension
IEEE Computer Graphics and Applications
Chronovolumes: a direct rendering technique for visualizing time-varying data
VG '03 Proceedings of the 2003 Eurographics/IEEE TVCG Workshop on Volume graphics
Interval Set: A Volume Rendering Technique Generalizing Isosurface Extraction
VIS '95 Proceedings of the 6th conference on Visualization '95
Interval volume: a solid fitting technique for volumetric data display and analysis
VIS '95 Proceedings of the 6th conference on Visualization '95
Four-dimensional views of 3D scalar fields
VIS '92 Proceedings of the 3rd conference on Visualization '92
Interactive visualization methods for four dimensions
VIS '93 Proceedings of the 4th conference on Visualization '93
Isosurface Construction in Any Dimension Using Convex Hulls
IEEE Transactions on Visualization and Computer Graphics
Projecting Tetrahedra without Rendering Artifacts
VIS '04 Proceedings of the conference on Visualization '04
Volume Interval Segmentation and Rendering
VV '04 Proceedings of the 2004 IEEE Symposium on Volume Visualization and Graphics
Counting Cases in Marching Cubes: Toward a Generic Algorithm for Producing Substitopes
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Volume Tracking Using Higher Dimensional Isosurfacing
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Hardware-Based Ray Casting for Tetrahedral Meshes
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
High Dimensional Direct Rendering of Time-Varying Volumetric Data
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Counting cases in substitope algorithms
IEEE Transactions on Visualization and Computer Graphics
Modeling and Visualization Approaches for Time-Varying Volumetric Data
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing, Part II
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In this paper, we study the interval segmentation and direct rendering of time-varying volumetric data to provide a more effective and interactive volume rendering of time-varying structured and unstructured grids. Our segmentation is based upon intervals within the scalar field between time steps, producing a set of geometrically defined time-varying interval volumes. To construct the time-varying interval volumes, we cast the problem one dimension higher, using a five-dimensional iso-contour construction for interactive computation or segmentation. The key point of this paper is how to render the time-varying interval volumes directly. We directly render the 4D interval volumes by projecting the 4D simplices onto 3D, decomposing the projected 4-simplices to 3-simplices and then rendering them using a modified hardware-implemented projected tetrahedron method. In this way, we can see how interval volumes change with the time in one view. The algorithm is independent of the topology of the polyhedral cells comprising the grid, and thus offers an excellent enhancement to the volume rendering of time-varying unstructured grids. Another advantage of this algorithm is that various volumetric and surface boundaries can be embedded into the time-varying interval volumes.