Area- and Angle-preserving Parametrization for Vertebra Surface Mesh
Area- and Angle-preserving Parametrization for Vertebra Surface Mesh
复制标题
椎体表面网格的面积和角度保留参数化
DOI：
10.1007/978-3-319-14148-0_16
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
and Ryo Kurazume
中科院分区：
文献类型：
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作者：
Shoko Miyauchi;Ken’ichi Morooka;Tokuo Tsuji;Yasushi Miyagi;Takaichi Fukuda;and Ryo Kurazume
提出了一种将脊椎骨模型映射到参数化环面上的参数化方法。我们的方法是基于修改的自组织可变形模型（mSDM）[1]，这是一种由竞争学习和能量最小化方法指导的可变形模型。与传统的映射方法不同，mSDM发现任意表面模型和与模型具有相同亏格的目标表面之间的一对一映射。同时，mSDM可以保持映射前后原始模型的几何特性。此外，用户能够控制模型中的特征顶点的映射位置。使用mSDM，所提出的方法将椎骨模型通过具有椎骨近似形状的中间表面映射到环面表面上。与从模型到环面的直接映射相比，中间表面的使用导致椎骨到环面的稳定映射。
This paper proposes a parameterization method of vertebra models by mapping them onto the parameterized surface of a torus. Our method is based on a modified Self-organizing Deformable Model (mSDM) [1], which is a deformable model guided by competitive learning and an energy minimization approach. Unlike conventional mapping methods, the mSDM finds the one-to-one mapping between arbitrary surface model and the target surface with the same genus as the model. At the same time, the mSDM can preserve geometrical properties of the original model before and after mapping. Moreover, users are able to control mapping positions of the feature vertices in the model. Using the mSDM, the proposed method maps the vertebra model onto a torus surface through an intermediate surface with the approximated shape of the vertebra. The use of the intermediate surface results in the stable mapping of the vertebra to a torus compared with the direct mapping from the model to the torus.