Sculpting: an interactive volumetric modeling technique
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Generative modeling for computer graphics and CAD: symbolic shape design using interval analysis
Generative modeling for computer graphics and CAD: symbolic shape design using interval analysis
Scheduled Fourier volume morphing
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
More Powerful Solid Modeling Through Ray Representations
IEEE Computer Graphics and Applications
Texturing and modeling: a procedural approach
Texturing and modeling: a procedural approach
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Feature-based volume metamorphosis
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A haptic interaction method for volume visualization
Proceedings of the 7th conference on Visualization '96
An approach to modeling multi-material objects
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Hypervolume visualization: a challenge in simplicity
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
A mathematical model for boundary representations of n-dimensional geometric objects
Proceedings of the fifth ACM symposium on Solid modeling and applications
Solid texturing of complex surfaces
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Representations for Rigid Solids: Theory, Methods, and Systems
ACM Computing Surveys (CSUR)
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Constructive modeling of FRep solids using spline volumes
Proceedings of the sixth ACM symposium on Solid modeling and applications
Principles of Digital Image Synthesis
Principles of Digital Image Synthesis
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Fast Visualization, Manipulation, and Analysis of Binary Volumetric Objects
IEEE Computer Graphics and Applications
Editing Tools for 3D Medical Imaging
IEEE Computer Graphics and Applications
Distance Field Manipulation of Surface Models
IEEE Computer Graphics and Applications
Computer
Constructive hypervolume modeling
Graphical Models - Volume modeling
Volume Modelling: Representations and Advanced Operations
CGI '98 Proceedings of the Computer Graphics International 1998
A Field Interpolated Texture Mapping Algorithm for Skeletal Implicit Surfaces
CGI '99 Proceedings of the International Conference on Computer Graphics
Global and local deformations of solid primitives
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Free-form Shape Modeling by 3D Cellular Automata
SMI '99 Proceedings of the International Conference on Shape Modeling and Applications
A subdivision algorithm for computer display of curved surfaces.
A subdivision algorithm for computer display of curved surfaces.
Volume sampled voxelization of geometric primitives
VIS '93 Proceedings of the 4th conference on Visualization '93
VG'01 Proceedings of the 2001 Eurographics conference on Volume Graphics
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
Constructive hypervolume modeling
Graphical Models - Volume modeling
Discretization of functionally based heterogeneous objects
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Rendering trimmed implicit surfaces and curves
AFRIGRAPH '04 Proceedings of the 3rd international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
Web-Based Shape Modeling with Hyperfun
IEEE Computer Graphics and Applications
A framework for modeling, animating, and morphing textured implicit models
Graphical Models - Special issue on SMI 2003
Local metamorphosis of functionally defined shapes
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Direct extraction of surface meshes from implicitly represented heterogeneous volumes
Computer-Aided Design
Heterogeneous object modeling: A review
Computer-Aided Design
Constructive function-based modeling in multilevel education
Communications of the ACM - The Status of the P versus NP Problem
Modeling complex heterogeneous objects with non-manifold heterogeneous cells
Computer-Aided Design
Technical Section: Locally restricted blending of Blobtrees
Computers and Graphics
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
Modelling function-based mixed-dimensional objects with attributes
Heterogeneous objects modelling and applications
SARDF: signed approximate real distance functions in heterogeneous objects modeling
Heterogeneous objects modelling and applications
Constructive hypervolume modeling using extended space mappings
Heterogeneous objects modelling and applications
Heterogeneous objects modelling and applications
Optimized surface discretization of functionally defined multi-material objects
Advances in Engineering Software
A sketch-based method to control deformation in a skeletal implicit surface modeler
SBM'08 Proceedings of the Fifth Eurographics conference on Sketch-Based Interfaces and Modeling
Combining point clouds and volume objects in volume scene graphs
VG'05 Proceedings of the Fourth Eurographics / IEEE VGTC conference on Volume Graphics
Product modeling framework based on interaction feature pair
Computer-Aided Design
Some theoretical issues of scientific visualization as a method of data analysis
Transactions on Computational Science XIX
| Hi-index | 0.00 |
This paper deals with modeling point sets with attributes. A point set in a geometric space of an arbitrary dimension is a geometric model of a real/abstract object or process under consideration. An attribute is a mathematical model of an object property of arbitrary nature (material, photometric, physical, statistical, etc.) defined at any point of the point set. We provide a brief survey of different modeling techniques related to point sets with attributes. It spans such different areas as solid modeling, heterogeneous objects modeling, scalar fields or "implicit surface" modeling and volume graphics. Then, on the basis of this survey we formulate requirements to a general model of hypervolumes (multidimensional point sets with multiple attributes). A general hypervolume model and its components such as objects, operations, and relations are introduced and discussed. A function representation (FRep) is used as the basic model for the point set geometry and attributes represented independently using real-valued scalar functions of several variables. Each function defining the geometry or an attribute is evaluated at the given point by a procedure traversing a constructive tree structure with primitives in the leaves and operations in the nodes of the tree. This reflects the constructive nature of the symmetric approach to modeling geometry and associated attributes in multidimensional space. To demonstrate a particular application of the proposed general model, we consider in detail the problem of texturing, introduce a model of constructive hypervolume texture, and then discuss its implementation, as well as the special modeling language we used for modeling hypervolume objects.