Efficient algorithms for 3D scan-conversion of parametric curves, surfaces, and volumes
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Loop detection in surface patch intersections
Computer Aided Geometric Design
A volume density optical model
VVS '92 Proceedings of the 1992 workshop on Volume visualization
Practical ray tracing of trimmed NURBS surfaces
Journal of Graphics Tools
Optical Models for Direct Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
Boundary Determination for Trivariate Solids
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Cellular-functional modeling of heterogeneous objects
Proceedings of the seventh ACM symposium on Solid modeling and applications
Shape-driven deformations of functionally defined heterogeneous volumetric objects
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Discretization of functionally based heterogeneous objects
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Haptics-Based Dynamic Implicit Solid Modeling
IEEE Transactions on Visualization and Computer Graphics
Visualization of Volume Data with Quadratic Super Splines
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Multiresolution heterogeneous solid modeling and visualization using trivariate simplex splines
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Spline approximation of general volumetric data
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
A B-spline-based approach to heterogeneous objects design and analysis
Computer-Aided Design
Heterogeneous object modeling: A review
Computer-Aided Design
Volumetric parameterization and trivariate b-spline fitting using harmonic functions
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Volumetric parameterization and trivariate B-spline fitting using harmonic functions
Computer Aided Geometric Design
Material-solid modeling of human body: A heterogeneous B-spline based approach
Computer-Aided Design
Modeling complex heterogeneous objects with non-manifold heterogeneous cells
Computer-Aided Design
An implicit complexes framework for heterogeneous objects modelling
Heterogeneous objects modelling and applications
Heterogeneous object design: an integrated CAX perspective
Heterogeneous objects modelling and applications
Feature-based material blending for heterogeneous object modeling
Heterogeneous objects modelling and applications
Constructive hypervolume modeling using extended space mappings
Heterogeneous objects modelling and applications
| Hi-index | 0.00 |
Our goal in this paper is to leverage traditional strengths from the geometric design and scientific visualization communities to produce a tool valuable to both. We present a method for representing and specifying attribute data across a trivariate NURBS volume. Some relevant attribute quantities include material composition and density, optical indices of refraction and dispersion, and data from medical imaging. The method is independent of the granularity of the physical geometry, allowing for a decoupling of the resolution of the carried data from that of the volume. Volume attributes can be modeled or fit to data.A method is presented for efficient evaluation of trivariate NURBS. We incorporate methods for data analysis and visualization including isosurface extraction, planar slicing, volume ray tracing, and optical path tracing, all of which are grounded in refinement theory for splines. The applications for these techniques are diverse, including such fields as optics, fluid dynamics, and medical visualization.