1980
DOI: 10.1016/0010-4485(80)90025-1
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Closure of Boolean operations on geometric entities

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Cited by 74 publications
(27 citation statements)
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“…This hierarchical level will be used later in the animation process. Another interesting aspect of this level lies in the fact that, for one object topology, we can find many different aspects of object geometry or colours (ex: garden LGRC (Bouatouch et al 1986) is a compiled language, developed at IRISA, which gives a representation of the geometric modelling under a CSG tree form (Requicha 1980;Tilove and Requicha 1980). We can also use a polygonal representation, interactively built or derived from the CSG tree (Badouel …”
Section: Description Of Our Animation Conceptmentioning
confidence: 98%
“…This hierarchical level will be used later in the animation process. Another interesting aspect of this level lies in the fact that, for one object topology, we can find many different aspects of object geometry or colours (ex: garden LGRC (Bouatouch et al 1986) is a compiled language, developed at IRISA, which gives a representation of the geometric modelling under a CSG tree form (Requicha 1980;Tilove and Requicha 1980). We can also use a polygonal representation, interactively built or derived from the CSG tree (Badouel …”
Section: Description Of Our Animation Conceptmentioning
confidence: 98%
“…However, unless these forms are explicitly defined as parts they cannot be available for manipulation, and this necessitates restructuring the shape so that the alternative parts are defined. In commercial systems, restructuring of a shape is achieved either by redefining the parts through repeated use of operations that allow lines to be cut and/or combined and parts redefined, or by applying regularised Boolean operations of intersection, union or difference [21], or by re-constructing the shape explicitly from the required parts. These options can be laborious and time-consuming, and an alternative method that enables users to efficiently and intuitively manipulate shapes according to the parts recognised by the user at any particular moment would be beneficial for supporting computer-aided shape exploration.…”
Section: Supporting Shape Exploration With Eye Trackingmentioning
confidence: 99%
“…A solution is to use CSG trees (Constructive Solid Geometry), where the leaves are volumetric primitives, while the nodes are regular operators (Tilove and Requicha, 1980) combined with a geometric transformation or a shape deformation (Barr, 1984). But CSG trees are not well adapted to manage curves, surfaces or any free-form objects, because they were initially created to manage internal composition laws defined on a set of solid objects.…”
Section: A Semantic 3d Model For Object Simulationsmentioning
confidence: 99%