An Approximate Parallel Vectors Operator for Multiple Vector Fields
An Approximate Parallel Vectors Operator for Multiple Vector Fields
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DOI：
10.1111/cgf.13422
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发表时间：
2018-06
影响因子：
2.5
通讯作者：
Tim Gerrits;Christian Rössl;H. Theisel
中科院分区：
文献类型：
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作者：
Tim Gerrits;Christian Rössl;H. Theisel
并行向量 (PV) 运算符提取两个向量场平行的点的位置。一般来说，这些特征都是线结构。 PV 算子已成功用于解决各种问题，其中包括寻找涡核线或极值线。我们提出了一种针对多个 3D 矢量场的新通用特征提取方法：近似平行矢量 (APV) 运算符提取所有场近似平行的线。 APV 算子的定义基于 PV 对从给定场集导出的两个向量场的应用。 APV 算子可以直接可视化矢量场系综的特征，无需单独处理场，也不会造成视觉混乱。我们对 APV 算子进行了理论分析，并证明了它对于大量集合数据的实用性。
The Parallel Vectors (PV) Operator extracts the locations of points where two vector fields are parallel. In general, these features are line structures. The PV operator has been used successfully for a variety of problems, which include finding vortex‐core lines or extremum lines. We present a new generic feature extraction method for multiple 3D vector fields: The Approximate Parallel Vectors (APV) Operator extracts lines where all fields are approximately parallel. The definition of the APV operator is based on the application of PV for two vector fields that are derived from the given set of fields. The APV operator enables the direct visualization of features of vector field ensembles without processing fields individually and without causing visual clutter. We give a theoretical analysis of the APV operator and demonstrate its utility for a number of ensemble data.