A framework for object modeling

Kumar, Vinod; Burns, Devin E.; Dutta, Debasish; Hoffmann, Christoph

doi:10.1016/s0010-4485(99)00051-2

Cited by 99 publications

(47 citation statements)

References 20 publications

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“…We build a hybrid (multirepresentational) model based on combining the advantages of FReps [26] and cellular representations. This model also conforms with, and further develops the volume model [21], hybrid volumes [2], the constructive volume geometry model [6], and the object model [15]. We emphasize the following three main specific requirements concerned with the fact that our framework is supposed to be employed in a number of demanding applications far beyond just rendering:…”

Section: Cellular-functional Hypervolume Modelmentioning

confidence: 74%

“…Regularized set-theoretic operations are applied to the solid components with the corresponding operations on material indices based on the selection of the resulting material for each pair of materials and for each set-theoretic operation. In the object model proposed in [15], a fiber bundle is used for general description of all characteristics and attributes of an object. Geometry is considered the most fundamental attribute and is represented by an r-set and atlases describing decompositions of the r-set into a finite set of closed 3-cells.…”

Section: Other Workmentioning

confidence: 99%

“…Then, a hypervolume object can be modeled as a product set Let us summarize the main features of the hypervolume model which make it distinct from the related ones, in particular described in [15,12,34]:…”

Section: Hybrid Hypervolume Modelmentioning

confidence: 99%

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Cellular-functional modeling of heterogeneous objects

Adzhiev

Kartasheva

Kunii

et al. 2002

Proceedings of the Seventh ACM Symposium on Solid Modeling and Applications

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The paper presents an approach to modeling heterogeneous objects as multidimensional point sets with multiple attributes (hypervolumes). A theoretical framework is based on a hybrid model of hypervolumes combining a cellular representation and a constructive representation using real-valued functions. This model allows for independent but unifying representation of geometry and attributes, and makes it possible to represent dimensionally non-homogeneous entities and their cellular decompositions. Hypervolume model components such as objects, operations and relations are introduced and outlined. The framework's inherent multidimensionality allowing, in particular, to deal naturally with time dependence promises to model complex dynamic objects composed of different materials with constructive building of their geometry and attributes. Attributes given at each point can represent properties of arbitrary nature (material, photometric, physical, statistical, etc.). To demonstrate a particular application of the proposed framework, we present an example of multimaterial modeling -a multilayer geological structure with cavities and wells. Another example illustrating the treatment of attributes other than material distributions is concerned with time-dependent adaptive mesh generation where function representation is used to describe object geometry and density of elements in the cellular model of the mesh. The examples have been implemented by using a specialized modeling language and software tools being developed by the authors.

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Section: Cellular-functional Hypervolume Modelmentioning

confidence: 74%

Section: Other Workmentioning

confidence: 99%

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Cellular-functional modeling of heterogeneous objects

Adzhiev

Kartasheva

Kunii

et al. 2002

Proceedings of the Seventh ACM Symposium on Solid Modeling and Applications

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“…Existing heterogeneous material representation methods mainly include voxel based model, B-rep based model, explicit functional representation based model, compound model, etc [1][2][3]. The voxel based model method is adapted to model the interface functional graded material.…”

Section: Hierarchical Modeling Methods For the Cladding Partmentioning

confidence: 99%

A Hierarchical Modeling Method for the Cladding Part

Yang¹,

Xiao-qian²,

Zhang³

et al. 2012

Proceedings of the 2nd International Conference on Electronic and Mechanical Engineering and Information Technology (2012)

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“…The proposed model covers such solids, if a constant scalar field is applied. To model heterogeneous solids and other 3D objects with attributes addressed in the general "object model" of [13], one has to define different properties as scalar fields on the level of primitives and introduce the rules of combining these scalar fields when doing set-theoretic, blending and other operations on such primitives. Usually, quite simple point sets such as rectangular blocks are processed in volume graphics.…”

Section: Constructive Hypervolume Modelmentioning

confidence: 99%