Shapes modeling of 3D objects based on a hybrid representation using extended B-spline surface model
Shapes modeling of 3D objects based on a hybrid representation using extended B-spline surface model
复制标题
使用扩展 B 样条曲面模型基于混合表示的 3D 对象形状建模
DOI：
10.1109/icpr.2002.1044835
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
K. Inoue
中科院分区：
文献类型：
--
作者：
M. Maeda;K. Kumamaru;K. Inoue
提出了一种基于投影表达式的b样条曲面模型的三维物体形状建模方法。表面模型在每个贴片上进行局部定义，这些贴片根据物体形状进行有效排列。为了保证合成曲面的连续性，采用了带嵌入函数的NURBS曲面。因此，该模型可以看作是由多边形斑块和NURBS曲面组成的混合模型。为了估计曲面函数，采用迭代算法求解正则化问题。在该算法中，由于需要估计曲面的区域被限制在仅有的误差块中，因此可以减少计算时间。然而，由于NURBS的细分操作被用于其他领域，估计的准确性从不逊色。
This paper presents a method for shapes modeling of 3D objects using a B-spline surface model based on a projection expression. The surface model is locally defined on each patch that is effectively arranged depending on object shapes. In order to assure the continuity of the resultant surface, a NURBS (non-uniform rational B-splines) surface with embedding functions is employed. Consequently, this model can be considered as a hybrid model that consists of polygon patches and NURBS surfaces. In order to estimate the surface function, a regularization problem is solved by an iterative algorithm. In the algorithm, since the domains where the surface has to be estimated are restricted to the only error patches, the computation time can be reduced. However, the accuracy of the estimation is never inferior since a subdivision operation of NURBS is employed for the other domains.