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...

Full description

Saved in:
Bibliographic Details
Published inIEEE Pacific Visualization Symposium pp. 9 - 16
Main Authors Bujack, Roxana, Kasten, Jens, Hotz, Ingrid, Scheuermann, Gerik, Hitzer, Eckhard
Format Conference Proceeding
LanguageEnglish
Japanese
Published IEEE 01.04.2015
Subjects
Covariance matrices
I.4.7 [Image Processing and Computer Vision]: Feature Measurement -Moments
I.5.2 [Pattern Recognition]: Design Methodology -Classifier design and evaluation
Matrices
Symmetric matrices
Tensile stress
Three-dimensional displays
Transforms
Online AccessGet full text
ISSN2165-8765
DOI10.1109/PACIFICVIS.2015.7156350

Cover

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.
AbstractList 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.
Author Hotz, Ingrid
Bujack, Roxana
Scheuermann, Gerik
Kasten, Jens
Hitzer, Eckhard
Author_xml – sequence: 1
  givenname: Roxana
  surname: Bujack
  fullname: Bujack, Roxana
  email: bujack@informatik.uni-leipzig.de
  organization: Leipzig University, Germany
– sequence: 2
  givenname: Jens
  surname: Kasten
  fullname: Kasten, Jens
  email: kasten@informatik.uni-leipzig.de
  organization: Leipzig University, Germany
– sequence: 3
  givenname: Ingrid
  surname: Hotz
  fullname: Hotz, Ingrid
  email: ingrid.hotz@dlr.de
  organization: German Aerospace Center, Germany
– sequence: 4
  givenname: Gerik
  surname: Scheuermann
  fullname: Scheuermann, Gerik
  email: scheuer@informatik.uni-leipzig.de
  organization: Leipzig University, Germany
– sequence: 5
  givenname: Eckhard
  surname: Hitzer
  fullname: Hitzer, Eckhard
  email: hitzer@icu.ac.jp
  organization: International Christian University, Japan
BookMark eNotj9tKw0AURUeoYK35Ah-cH0icyVxO5rFEWwMVBS-v5SQ5AwPJRJJQ0a83YGGz19tm7Wu2ikMkxu6kyKQU7v51W1a7qvys3rJcSJOBNFYZccESB4XUFpQtwMGKrXNpTVqANVcsmaZQi9yC1U7na2afh57izEM84RgwzhP3w8jVA_fd8M19oK6d-Ckgj8PYYxd-cQ5DvGGXHruJkjM37GP3-F4-pYeXfVVuD2nIQcypb1ytFHrwjYYavWoJlROqxcZKNHqJQTQE4JBIWd_U6EjoxU8u1aoNu_3fDUR0_BpDj-PP8fxU_QFQ90sq
ContentType Conference Proceeding
DBID 6IE
6IL
CBEJK
RIE
RIL
DOI 10.1109/PACIFICVIS.2015.7156350
DatabaseName IEEE Electronic Library (IEL) Conference Proceedings
IEEE Xplore POP ALL
IEEE Xplore All Conference Proceedings
IEEE Electronic Library (IEL)
IEEE Proceedings Order Plans (POP All) 1998-Present
DatabaseTitleList
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISBN 9781467368797
1467368792
EndPage 16
ExternalDocumentID 7156350
Genre orig-research
GroupedDBID 6IE
6IL
6IN
AAWTH
ABLEC
ACGFS
ADZIZ
ALMA_UNASSIGNED_HOLDINGS
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CBEJK
CHZPO
IEGSK
M43
OCL
RIE
RIL
ID FETCH-LOGICAL-i270t-fc9b33af7fc47baf3dea3903dac61a54a545aa5e779aee36fcba9e042671426d3
IEDL.DBID RIE
ISSN 2165-8765
IngestDate Wed Aug 27 02:48:39 EDT 2025
IsPeerReviewed false
IsScholarly true
Language English
Japanese
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-i270t-fc9b33af7fc47baf3dea3903dac61a54a545aa5e779aee36fcba9e042671426d3
PageCount 8
ParticipantIDs ieee_primary_7156350
PublicationCentury 2000
PublicationDate 2015-04-01
PublicationDateYYYYMMDD 2015-04-01
PublicationDate_xml – month: 04
  year: 2015
  text: 2015-04-01
  day: 01
PublicationDecade 2010
PublicationTitle IEEE Pacific Visualization Symposium
PublicationTitleAbbrev PACIFICVIS
PublicationYear 2015
Publisher IEEE
Publisher_xml – name: IEEE
SSID ssib026764942
ssj0000941586
Score 1.9746541
Snippet 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...
SourceID ieee
SourceType Publisher
StartPage 9
SubjectTerms Covariance matrices
I.4.7 [Image Processing and Computer Vision]: Feature Measurement -Moments
I.5.2 [Pattern Recognition]: Design Methodology -Classifier design and evaluation
Matrices
Symmetric matrices
Tensile stress
Three-dimensional displays
Transforms
Title Moment invariants for 3D flow fields via normalization
URI https://ieeexplore.ieee.org/document/7156350
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LSwMxEA61J734aMU3OXh0t5vNiz1KtbRCpaCV3ko2mYWqbEW3Ffz1Zna39YEHYQlLDiFPZr7km28IOTdxBqhBGIAVcSBM5ILEA5EAFPrvzGTM4dXA8Fb1x-JmIicNcrGOhQGAknwGIf6Wb_lubhd4VdbRHmxwBOgbWidVrNZq78RKK5HUMO-xYswxWSZ6jJmSeOhlTe9iUdIZXXYHvUH3YXCH7C4Z1i3_SLFSWpjeNhmu-lYRS57CRZGG9uOXbON_O79D2l-xfHS0tlK7pAH5Htn6JkPYImqIMgwFneVLj5yRGEO9K0v5Fc2e5--0JLm90eXM0Bw93Oc6dLNNxr3r-24_qPMpBLNYR0WQ2STl3GQ6s0KnJuMODE8i7oxVzEjhP2mMBD-5BoCrzKYmAQRZmvnC8X3SzOc5HBAqrIlQyl4JFYvUqtTjNuZcZLQDhHGHpIUzMH2pJDOm9eCP_q4-Jpu4ChUh5oQ0i9cFnHpbX6Rn5SJ_AirHpTU
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1JS8NAFB5KPagXl1bcnYNHk2YyGzlKtTTalIKt9FYms0C1pKJpBX-9M0laFzwIQxjmkMwW3vtmvvc9AC5FaLTTIPS0JKFHRKC8yAIRTzPnvyNhkHJHA0mfdUfkbkzHNXC1joXRWhfkM-27anGXr-Zy4Y7KWtyCDewA-gYl9gNltNZq94SMMxJVQO-p5MwhWqR6DBGj7renFcELBVFrcN2OO3H7MX5w_C7qV-_-kWSlsDGdHZCseldSS579RZ768uOXcON_u78Lml_RfHCwtlN7oKazfbD9TYiwAVjihBhyOM2WFjs7agy0zizEN9DM5u-woLm9weVUwMz5uLMqeLMJRp3bYbvrVRkVvGnIg9wzMkoxFoYbSXgqDFZa4CjASkiGBCW2UCGo5jwSWmNmZCoi7WAWR_ah8AGoZ_NMHwJIpAicmD0jLCSpZKlFbkipQHClHZA7Ag03A5OXUjRjUg3--O_mC7DZHSa9SS_u35-ALbciJT3mFNTz14U-s5Y_T8-LBf8EAo6ogA
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=proceeding&rft.title=IEEE+Pacific+Visualization+Symposium&rft.atitle=Moment+invariants+for+3D+flow+fields+via+normalization&rft.au=Bujack%2C+Roxana&rft.au=Kasten%2C+Jens&rft.au=Hotz%2C+Ingrid&rft.au=Scheuermann%2C+Gerik&rft.date=2015-04-01&rft.pub=IEEE&rft.issn=2165-8765&rft.spage=9&rft.epage=16&rft_id=info:doi/10.1109%2FPACIFICVIS.2015.7156350&rft.externalDocID=7156350
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2165-8765&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2165-8765&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2165-8765&client=summon