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A B-spline based framework for volumetric object modeling
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DOI：10.1016/j.cad.2016.05.003.png)
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Abstract
En 中文
With the recent development of Iso-geometric Analysis (IGA) (Cottrell et al., 2009) and advanced manufacturing technologies employing heterogeneous materials, such as additive manufacturing (AM) of functionally graded material, there is a growing emerging need for a full volumetric representation of 3D objects, that prescribes the interior of the object in addition to its boundaries. In this paper, we propose a volumetric representation (V-rep) for geometric modeling that is based on trimmed B-spline trivariates and introduce its supporting volumetric modeling framework. The framework includes various volumetric model (V-model) construction methods from basic non-singular volumetric primitives to high level constructors, as well as Boolean operations' support for V-models. A V-model is decomposed into and defined by a complex of volumetric cells (V-cells), each of which can also represent a variety of additional varying fields over it, and hence over the entire V-model. With these capabilities, the proposed framework is able of supporting volumetric IGA needs as well as represent and manage heterogeneous materials for AM. Further, this framework is also a seamless extension to existing boundary representations (B-reps) common in all contemporary geometric modeling systems, and allows a simple migration of existing B rep data, tools and algorithms. Examples of volumetric models constructed using the proposed framework are presented. (C) 2016 Elsevier Ltd. All rights reserved.
Keywords:
Trivariate functions
Trimmed volumes
Volumetric Boolean operations
Domain decomposition
Additive manufacturing
Iso-Geometric analysis
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