Constructive hypervolume modeling

A Pasko, V Adzhiev, B Schmitt, C Schlick - Graphical models, 2001 - Elsevier
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 …

Boolean operations with implicit and parametric representation of primitives using R-functions

YD Fougerolle, A Gribok, S Foufou… - … on Visualization and …, 2005 - ieeexplore.ieee.org
We present a new and efficient algorithm to accurately polygonize an implicit surface
generated by multiple Boolean operations with globally deformed primitives. Our algorithm …

Two‐dimensional potential fields for advanced implicit modeling operators

L Barthe, NA Dodgson, MA Sabin… - Computer Graphics …, 2003 - Wiley Online Library
Current methods for building models using implicit volume techniques present problems
defining accurate and controllable blend shapes between implicit primitives. We present …

Controllable Binary CSG Operators for" Soft Objects"

L Barthe, B Wyvill, E De Groot - International Journal of Shape …, 2004 - World Scientific
Potential functions allow the definition of both an implicit surface and its volume. In this
representation, two categories can be distinguished: bounded and unbounded …

Refined implicit characterization of engineering geology with uncertainties: a divide-and-conquer tactic-based approach

M Li, C Chen, H Liang, S Han, Q Ren, H Li - Bulletin of Engineering …, 2024 - Springer
In engineering geology, a reasonable assessment of the spatial distribution of uncertainty in
a region is vital in guiding research, saving money, and shortening the period. However, the …

Hybrid cellular-functional modeling of heterogeneous objects

V Adzhiev, E Kartasheva, T Kunii… - J. Comput. Inf …, 2002 - asmedigitalcollection.asme.org
An approach to modeling heterogeneous objects as multidimensional point sets with
multiple attributes (hypervolumes) is presented. Attributes given at each point represent …

Cellular-functional modeling of heterogeneous objects

V Adzhiev, E Kartasheva, T Kunii, A Pasko… - Proceedings of the …, 2002 - dl.acm.org
The paper presents an approach to modeling heterogeneous objects as multidimensional
point sets with multiple attributes (hypervolumes). A theoretical framework is based on a …

The hybridtree: Mixing skeletal implicit surfaces, triangle meshes, and point sets in a free-form modeling system

R Allegre, E Galin, R Chaine, S Akkouche - Graphical models, 2006 - Elsevier
In this paper, we present a hybrid modeling framework for creating complex 3D objects
incrementally. Our system relies on an extended CSG tree that assembles skeletal implicit …

A hybrid shape representation for free-form modeling

R Allegre, A Barbier, E Galin… - Proceedings Shape …, 2004 - ieeexplore.ieee.org
We introduce a hybrid modeling framework for creating complex objects. Our system relies
on an extended CSG tree that assembles skeletal implicit surfaces and polygonal meshes in …

Radial supershapes for solid modeling

YD Fougerolle, A Gribok, S Foufou, F Truchetet… - Journal of Computer …, 2006 - Springer
In the previous work, an efficient method has been proposed to represent solid objects as
multiple combinations of globally deformed supershapes. In this paper, this framework is …