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Titlebook: Heterogeneous Objects Modelling and Applications; Collection of Papers Alexander Pasko,Valery Adzhiev,Peter Comninos Book 2008 Springer-Ver

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An Implicit Complexes Framework for Heterogeneous Objects Modelling,thin a cellular-functional framework based on the implicit complex notion. We provide a brief description for implicit complexes and describe their structure including both the geometry and topology of cells of different types. Then the paper focuses on the development of algorithms for set-theoreti
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Heterogeneous Object Design: An Integrated CAX Perspective,in CAD, CAE and CAM communities. Such explicit separations, however, suffer from some apparent limitations. This article presents an alternative scheme to consider the heterogeneous object design problem in an integrated CAX (CAD/CAE/CAM) framework. The motivation is to design heterogeneous objects
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The HybridTree: A Hybrid Constructive Shape Representation for Free-Form Modeling,ssembles skeletal implicit primitives, triangle meshes and point set models in a coherent fashion: we call this structure the HybridTree. Editing operations are performed by exploiting the complementary abilities of implicit and polygonal mesh surface representations in a complete transparent way fo
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Modelling Function-Based Mixed-Dimensional Objects with Attributes,nts of different dimensions and with attributes of different nature are combined together in a topological structure. In this chapter, we present in detail the underlying function-based model for a certain class of cells to be used among several others in the implicit complex model. Each cell is dim
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SARDF: Signed Approximate Real Distance Functions in Heterogeneous Objects Modeling,boundary or from special material features. For objects constructed using geometric primitives and set-theoretic operations, an approximation of the distance function can be obtained in a constructive manner by applying special compositing operations to the distance functions of primitives. We descr
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Feature-Based Material Blending for Heterogeneous Object Modeling,e material variation are defined as material governing features to control material composition inside the objects. Interrelations between the material governing features and material attributes are established by constraining the geometric and material features and retained in the object model. Usi
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Constructive Hypervolume Modeling Using Extended Space Mappings, use constructive hypervolume objects, where the function representation (FRep) is used as the basic model for both object geometry and attributes represented independently using real-valued scalar functions of point coordinates. While FRep directly defines object geometry, for an attribute it speci
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Optimization of Continuous Heterogeneous Models,ethods for construction, design, and editing of such models. We consider the problem of optimization of a heterogeneous model, and show that its representation by a continuous function defined over a constructively represented domain naturally leads to simple and effective optimization procedures. U
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