论文标题
雅各比设置驱动搜索柔性纤维表面提取
Jacobi Set Driven Search for Flexible Fiber Surface Extraction
论文作者
论文摘要
等音表面是分析和可视化单变量标量场的重要工具。较早的作品证明了在接近临界值的Isovalues中存在有趣的异灌木。这促使开发有效的方法来计算仅限于感兴趣区域的等音表面的各个组件。将等值面的概括性对纤维表面和雅各比集的关键点进行了概括，这导致了分析双变量标量场的新方法。与等音表面不同，没有用于计算纤维表面的输出敏感方法。现有方法穿越域中的所有四面体。在本文中，我们建议使用Jacobi设置来识别感兴趣的纤维表面成分，并为其计算提供输出敏感方法。 Jacobi边缘用于启动搜索涉及包含纤维表面的种子四面体，从而减少了搜索空间。这种方法还通过支持鉴定雅各比边缘附近的相关纤维表面，从而导致对双变量场的有效分析。
Isosurfaces are an important tool for analysis and visualization of univariate scalar fields. Earlier works have demonstrated the presence of interesting isosurfaces at isovalues close to critical values. This motivated the development of efficient methods for computing individual components of isosurfaces restricted to a region of interest. Generalization of isosurfaces to fiber surfaces and critical points to Jacobi sets has resulted in new approaches for analyzing bivariate scalar fields. Unlike isosurfaces, there exists no output sensitive method for computing fiber surfaces. Existing methods traverse through all the tetrahedra in the domain. In this paper, we propose the use of the Jacobi set to identify fiber surface components of interest and present an output sensitive approach for its computation. The Jacobi edges are used to initiate the search towards seed tetrahedra that contain the fiber surface, thereby reducing the search space. This approach also leads to effective analysis of the bivariate field by supporting the identification of relevant fiber surfaces near Jacobi edges.
