Representations for Rigid Solids: Theory, Methods, and Systems

Requicha, Ari

doi:10.1145/356827.356833

Cited by 1,256 publications

(393 citation statements)

References 18 publications

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“…• CSG and Boolean operations: an object is represented as a tree of Boolean set operations (union, intersection and difference) of volumetric objects (see Requicha [15] for more details). Half-spaces are often used to cut out the undesired parts of surfaces or volumes.…”

Section: Ifcmentioning

confidence: 99%

Processing BIM and GIS Models in Practice: Experiences and Recommendations from a GeoBIM Project in The Netherlands

Ohori

Diakité

Krijnen

et al. 2018

IJGI

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Abstract:It is widely acknowledged that the integration of BIM and GIS data is a crucial step forward for future 3D city modelling, but most of the research conducted so far has covered only the high-level and semantic aspects of GIS-BIM integration. This paper presents the results of the GeoBIM project, which tackled three integration problems focussing instead on aspects involving geometry processing: (i) the automated processing of complex architectural IFC models; (ii) the integration of existing GIS subsoil data in BIM; and (iii) the georeferencing of BIM models for their use in GIS software. All the problems have been studied using real world models and existing datasets made and used by practitioners in The Netherlands. For each problem, this paper exposes in detail the issues faced, proposed solutions, and recommendations for a more successful integration.

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Section: Ifcmentioning

confidence: 99%

Processing BIM and GIS Models in Practice: Experiences and Recommendations from a GeoBIM Project in The Netherlands

Ohori

Diakité

Krijnen

et al. 2018

IJGI

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“…Essentially, these inflated shapes are a type of sweep surface or extrusion, where the planar contour is the template and the plane normal is the trajectory. While sweep surfaces are ubiquitous in surface modeling [30], implicit sweep representations have generally been limited to star-shaped templates [12] which are procedurally defined. To create an implicit primitive whose silhouette contour could be matched to an arbitrary 2D sketch, it was necessary to develop sweep primitives which allowed for arbitrary template curves.…”

Section: Sketchable Implicit Sweep Primitivesmentioning

confidence: 99%

ShapeShop: Free-Form 3D Design with Implicit Solid Modeling

Schmidt¹,

Wyvill²

2011

Sketch-Based Interfaces and Modeling

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Implicit modeling has been used since the early 1980s as an alternative to mainstream solid-modeling techniques. Beyond Boolean composition, implicit modeling integrates blending and deformation operators which allow complex free-form solid models to be more easily described. Recent advances have alleviated some of the major technical problems, such as visualization speed and surface control. In this chapter we describe how to combine these new techniques with a sketchbased 3D modeling interface, resulting in a powerful tool for quickly creating solid models. Our system, called ShapeShop, has been used as a testbed to investigate a range of problems, from real-time visualization [36] . Sketch-based 3D modeling is the common thread which ties all these various problems together [33,34,37,46].Much like the seminal Teddy system [18], ShapeShop is a tool for incrementally creating a 3D model using simple 2D sketches. From this starting point, many other sketch and pen-based interaction techniques have been adapted and integrated into the system. ShapeShop borrows liberally from work in sketching assistance [7,17], gestural systems [48], crossing interfaces [2], and suggestive modeling [16]. One long-term aspect of the ShapeShop project is to evaluate how these non-traditional techniques can be effectively combined within a complex interface.

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“…Requicha's seminal paper [Requicha80] introduced terminology and definitions for the concepts of a representation and a representation scheme, and described several representation schemes for three-dimensional solids. A representation was defined to be a structure of symbols from an alphabet, and a representation scheme to be a relation between an abstract modeling space containing the mathematical entities we want to model and the set of representations.…”

Section: Modeling and Representation Schemesmentioning

confidence: 99%

“…In classical geometric and solid modeling, the objects of interest were pointsets. Researchers have focused upon seeking unambiguous representation schemes for various types of pointsets [Requicha80].…”

Section: Introductionmentioning

confidence: 99%

Breps as Displayable-Selectable Models in Interactive Design of Families of Geometric Objects

Rappoport

1997

Geometric Modeling: Theory and Practice

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Abstract. In classical geometric modeling, the primary objects of interest are geometric pointsets, the primary representation scheme for which is the boundary representation (Brep). Modern geometric modeling focuses on parametric families of pointsets, defined using geometric operation graphs (GOGs), features and constraints. During interactive design of families of objects, users interact with an example object from the family. The example object is a pointset, hence is usually modeled using the Brep. In this paper we study the issue of which modeling scheme is most appropriate for the example object. We identify two major operations which such a modeling scheme must support: display and selection. Selection can be further decomposed into picking, invariant naming, and persistent naming. We introduce the term Displayable-Selectable Models (DSmodels) as a generic term for models providing display and selection functionality. We discuss the suitability of Breps to serve as DS-models and whether other, perhaps simpler, representations could also serve as DS-models.

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Representations for Rigid Solids: Theory, Methods, and Systems

Cited by 1,256 publications

References 18 publications

Processing BIM and GIS Models in Practice: Experiences and Recommendations from a GeoBIM Project in The Netherlands

Processing BIM and GIS Models in Practice: Experiences and Recommendations from a GeoBIM Project in The Netherlands

ShapeShop: Free-Form 3D Design with Implicit Solid Modeling

Breps as Displayable-Selectable Models in Interactive Design of Families of Geometric Objects

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