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We present a new generic feature extraction method for multiple 3D vector fields: The<jats:italic>Approximate Parallel Vectors<\/jats:italic>(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.<\/jats:p>","DOI":"10.1111\/cgf.13422","type":"journal-article","created":{"date-parts":[[2018,7,10]],"date-time":"2018-07-10T12:38:40Z","timestamp":1531226320000},"page":"315-326","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["An Approximate Parallel Vectors Operator for Multiple Vector Fields"],"prefix":"10.1111","volume":"37","author":[{"given":"Tim","family":"Gerrits","sequence":"first","affiliation":[{"name":"University of Magdeburg, Visual Computing Group Germany"}]},{"given":"Christian","family":"R\u00f6ssl","sequence":"additional","affiliation":[{"name":"University of Magdeburg, Visual Computing Group Germany"}]},{"given":"Holger","family":"Theisel","sequence":"additional","affiliation":[{"name":"University of Magdeburg, Visual Computing Group Germany"}]}],"member":"311","published-online":{"date-parts":[[2018,7,10]]},"reference":[{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1115\/1.4031794"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/2945.468404"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1615\/Int.J.UncertaintyQuantification.2012003966"},{"key":"e_1_2_11_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2015.2467204"},{"key":"e_1_2_11_6_2","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.12898"},{"key":"e_1_2_11_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2013.144"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0734-189X(83)90094-4"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.3174\/ajnr.A4157"},{"key":"e_1_2_11_10_2","doi-asserted-by":"crossref","unstructured":"JaremaM. 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