Volumetric parameterization and trivariate B-spline fitting using harmonic functions
Volumetric parameterization and trivariate B-spline fitting using harmonic functions
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DOI：
10.1016/j.cagd.2008.09.008
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发表时间：
2009-08-01
影响因子：
1.5
通讯作者：
Kirby, R. M.
中科院分区：
文献类型：
--
作者：
Martin, T.;Cohen, E.;Kirby, R. M.
我们提出了一种基于油离散体积谐波函数的方法，以参数化体积模型的方式，它可以用来拟合一个单一的三变量B样条的数据，使模拟属性也可以建模。所得模型表示适合于等几何分析[Hughes，T. J.，Cottrell，J.A.，B.，是的，2005.等几何分析：计算机辅助设计，有限元。nurbs、精确几何和网格细化。应用力学与工程计算机方法194，4135-4195]。输入数据由表示对象外部几何形状的闭合三角形网格和可以表示材料属性或其他内部特征的内部三角形网格组成。三变量B样条几何和属性表示从所得参数化生成，以与[Martin，W.，科恩，E.，2001.使用三变量样条表示和提取体积属性。在：专题讨论会上的固体和物理建模，页。234-240]，但适用于更大的形状和属性族。该技术构造了一个B样条表示与保证质量的近似原始数据。然后，我们集中注意力油的模拟感兴趣的模型。一种股骨，由坚硬的外层皮质骨和内层骨小梁组成。股骨是用单个三变量B样条建模的相当复杂的对象，因为形状悬垂使得不可能通过扫描平面切片来建模。该表示法用于弹性静力等几何分析，证明了它能够适当地表示等几何分析的对象。(c)2008 Elsevier B. V.保留所有权利。
We present a methodology based oil discrete volumetric harmonic functions to parameterize a volumetric model in a way that it can be used to fit a single trivariate B-spline to data so that simulation attributes can also be modeled. The resulting model representation is suitable for isogeometric analysis [Hughes, T.J., Cottrell, J.A., B., Y., 2005. Isogeometric analysis: Cad, finite elements. nurbs, exact geometry, and mesh refinement. Computer Methods in Applied Mechanics and Engineering 194, 4135-4195]. Input data consists of both a closed triangle mesh representing the exterior geometric shape of the object and interior triangle meshes that can represent material attributes or other interior features. The trivariate B-spline geometric and attribute representations are generated from the resulting parameterization, creating trivariate B-spline material property representations over the same parameterization in a way that is related to [Martin, W., Cohen, E., 2001. Representation and extraction of volumetric attributes using trivariate splines. In: Symposium on Solid and Physical Modeling, pp. 234-240] but is suitable for application to a much larger family of shapes and attributes. The technique constructs a B-spline representation with guaranteed quality of approximation to the original data. Then we focus attention oil a model Of Simulation interest. a femur, consisting of hard outer cortical bone and inner trabecular bone. The femur is a reasonably complex object to model with a single trivariate B-spline since the shape overhangs make it impossible to model by sweeping planar slices. The representation is used in an elastostatic isogeometric analysis, demonstrating its ability to suitably represent objects for isogeometric analysis. (c) 2008 Elsevier B.V. All rights reserved.