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Shapes modeling of 3D objects based on a hybrid representation using extended B-spline surface model

机译：使用扩展的B样条曲面模型基于混合表示的3D对象的形状建模

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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.
机译：本文提出了一种基于B样条曲面模型基于投影表达式的3D对象形状建模方法。表面模型是在每个贴片上局部定义的，每个贴片根据对象的形状进行有效排列。为了确保所得表面的连续性，使用了具有嵌入功能的NURBS（非均匀有理B样条）表面。因此，可以将此模型视为由多边形面片和NURBS曲面组成的混合模型。为了估计表面功能，通过迭代算法解决了正则化问题。在该算法中，由于必须将表面估计的区域仅限于仅有的误差斑块，因此可以减少计算时间。但是，估计的准确性绝不逊色，因为NURBS的细分操作被用于其他域。

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