归一化三维流场的矩不变量

2015 IEEE Pacific Visualization Symposium (PacificVis) Pub Date : 2015-04-14 DOI:10.1109/PACIFICVIS.2015.7156350

R. Bujack, Jens Kasten, I. Hotz, G. Scheuermann, E. Hitzer

{"title":"归一化三维流场的矩不变量","authors":"R. Bujack, Jens Kasten, I. Hotz, G. Scheuermann, E. Hitzer","doi":"10.1109/PACIFICVIS.2015.7156350","DOIUrl":null,"url":null,"abstract":"We generalize the framework of moments and introduce a definition of invariants for three-dimensional vector fields. To do so, we use the method of moment normalization that has been shown to be useful in the two dimensions. Using invariant moments, we show how to search for patterns in these fields independent from their position, orientation and scale. From the first order vector moment tensor, we construct a complete and independent set of descriptors. We test the invariants in queries on synthetic and real world flow fields.","PeriodicalId":177381,"journal":{"name":"2015 IEEE Pacific Visualization Symposium (PacificVis)","volume":"137 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":"{\"title\":\"Moment invariants for 3D flow fields via normalization\",\"authors\":\"R. Bujack, Jens Kasten, I. Hotz, G. Scheuermann, E. Hitzer\",\"doi\":\"10.1109/PACIFICVIS.2015.7156350\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We generalize the framework of moments and introduce a definition of invariants for three-dimensional vector fields. To do so, we use the method of moment normalization that has been shown to be useful in the two dimensions. Using invariant moments, we show how to search for patterns in these fields independent from their position, orientation and scale. From the first order vector moment tensor, we construct a complete and independent set of descriptors. We test the invariants in queries on synthetic and real world flow fields.\",\"PeriodicalId\":177381,\"journal\":{\"name\":\"2015 IEEE Pacific Visualization Symposium (PacificVis)\",\"volume\":\"137 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-04-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"19\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE Pacific Visualization Symposium (PacificVis)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PACIFICVIS.2015.7156350\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE Pacific Visualization Symposium (PacificVis)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PACIFICVIS.2015.7156350","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 19

摘要

我们推广了矩的框架，并引入了三维矢量场的不变量的定义。为此，我们使用力矩归一化方法，该方法已被证明在二维中是有用的。使用不变矩，我们展示了如何在这些领域中寻找独立于它们的位置、方向和规模的模式。从一阶矢量矩张量出发，构造了一个完整的、独立的描述子集。我们测试了合成流场和真实流场查询中的不变量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Moment invariants for 3D flow fields via normalization

We generalize the framework of moments and introduce a definition of invariants for three-dimensional vector fields. To do so, we use the method of moment normalization that has been shown to be useful in the two dimensions. Using invariant moments, we show how to search for patterns in these fields independent from their position, orientation and scale. From the first order vector moment tensor, we construct a complete and independent set of descriptors. We test the invariants in queries on synthetic and real world flow fields.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2015 IEEE Pacific Visualization Symposium (PacificVis)

自引率

0.00%

发文量