Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Display of Surfaces from Volume Data
IEEE Computer Graphics and Applications
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Interval volume tetrahedrization
VIS '97 Proceedings of the 8th conference on Visualization '97
3D scan conversion of CSG models into distance volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Volume clipping via per-fragment operations in texture-based volume visualization
Proceedings of the conference on Visualization '02
Using Linked Volumes to Model Object Collisions, Deformation, Cutting, Carving, and Joining
IEEE Transactions on Visualization and Computer Graphics
Extending Distortion Viewing from 2D to 3D
IEEE Computer Graphics and Applications
Graphical Models - Volume modeling
Smart hardware-accelerated volume rendering
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Global and local deformations of solid primitives
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
VG '03 Proceedings of the 2003 Eurographics/IEEE TVCG Workshop on Volume graphics
A Magnification Lens for Interactive Volume Visualization
PG '01 Proceedings of the 9th Pacific Conference on Computer Graphics and Applications
Depth-Peeling for Texture-Based Volume Rendering
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Geometric clipping using boolean textures
VIS '93 Proceedings of the 4th conference on Visualization '93
Spatial and Temporal Splitting of Scalar Fields in Volume Graphics
VV '04 Proceedings of the 2004 IEEE Symposium on Volume Visualization and Graphics
High-Quality Two-Level Volume Rendering of Segmented Data Sets on Consumer Graphics Hardware
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Using Deformations for Browsing Volumetric Data
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
VG'01 Proceedings of the 2001 Eurographics conference on Volume Graphics
Feature Aligned Volume Manipulation for Illustration and Visualization
IEEE Transactions on Visualization and Computer Graphics
Technical Section: Constrained illustrative volume deformation
Computers and Graphics
View-dependent peel-away visualization for volumetric data
Proceedings of the 25th Spring Conference on Computer Graphics
Proceedings of the ACM International Conference on Interactive Tabletops and Surfaces
Illustrative Membrane Clipping
Computer Graphics Forum
Adaptive Cross-sections of Anatomical Models
Computer Graphics Forum
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Splitting a volumetric object is a useful operation in volume graphics and its applications, but is not widely supported by existing systems for volume-based modeling and rendering. In this paper, we present an investigation into two main algorithmic approaches, namely, explicit and implicit splitting, for modeling and rendering splitting actions. We consider a generalized notion based on scalar fields, which encompasses discrete specifications (e.g., volume data sets) as well as procedural specifications (e.g., hypertextures) of volumetric objects. We examine the correctness, effectiveness, efficiency, and deficiencies of each approach in specifying and controlling a spatial and temporal specification of splitting. We propose methods for implementing these approaches and for overcoming their deficiencies. We present a modeling tool for creating specifications of splitting functions, and describe the use of volume scene graphs for facilitating direct rendering of volume splitting. We demonstrate the use of these approaches with examples of volume visualization, medical illustration, volume animation, and special effects.