Beyond Topology: A Lagrangian Metaphor to Visualize the Structure of 3D Tensor Fields View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2012

AUTHORS

Xavier Tricoche , Mario Hlawitschka , Samer Barakat , Christoph Garth

ABSTRACT

Topology was introduced in the visualization literature some 15 years ago as a mathematical language to describe and capture the salient structures of symmetric second-order tensor fields. Yet, despite significant theoretical and algorithmic advances, this approach has failed to gain wide acceptance in visualization practice over the last decade. In fact, the very idea of a versatile visualization methodology for tensor fields that could transcend application domains has been virtually abandoned in favor of problem-specific feature definitions and visual representations. We propose to revisit the basic idea underlying topology from a different perspective. To do so, we introduce a Lagrangian metaphor that transposes to the structural analysis of eigenvector fields a perspective that is commonly used in the study of fluid flows. Indeed, one can view eigenvector fields as the local superimposition of two vector fields, from which a bidirectional flow field can be defined. This allows us to analyze the structure of a tensor field through the behavior of fictitious particles advected by this flow. Specifically, we show that the separatrices of 3D tensor field topology can in fact be captured in a fuzzy and numerically more robust setting as ridges of a trajectory coherence measure. As a result, we propose an alternative structure characterization strategy for the visual analysis of practical 3D tensor fields, which we demonstrate on several synthetic and computational datasets. More... »

PAGES

93-109

References to SciGraph publications

  • 2010-03. Direct visualization of fiber information by coherence in INTERNATIONAL JOURNAL OF COMPUTER ASSISTED RADIOLOGY AND SURGERY
  • 2006. Visualizing the Topology of Symmetric, Second-Order, Time-Varying Two-Dimensional Tensor Fields in VISUALIZATION AND PROCESSING OF TENSOR FIELDS
  • 2006. Degenerate 3D Tensors in VISUALIZATION AND PROCESSING OF TENSOR FIELDS
  • 1996. Ridges in Image and Data Analysis in NONE
  • Book

    TITLE

    New Developments in the Visualization and Processing of Tensor Fields

    ISBN

    978-3-642-27342-1
    978-3-642-27343-8

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-642-27343-8_5

    DOI

    http://dx.doi.org/10.1007/978-3-642-27343-8_5

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1007250135


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Pure Mathematics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Purdue University", 
              "id": "https://www.grid.ac/institutes/grid.169077.e", 
              "name": [
                "Purdue University, Lafayette, IN, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Tricoche", 
            "givenName": "Xavier", 
            "id": "sg:person.014405044562.80", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014405044562.80"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "University of California, Davis", 
              "id": "https://www.grid.ac/institutes/grid.27860.3b", 
              "name": [
                "University of California at Davis, Davis, CA, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Hlawitschka", 
            "givenName": "Mario", 
            "id": "sg:person.01217101266.94", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01217101266.94"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Purdue University", 
              "id": "https://www.grid.ac/institutes/grid.169077.e", 
              "name": [
                "Purdue University, Lafayette, IN, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Barakat", 
            "givenName": "Samer", 
            "id": "sg:person.0671116705.28", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0671116705.28"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "University of California, Davis", 
              "id": "https://www.grid.ac/institutes/grid.27860.3b", 
              "name": [
                "University of California at Davis, Davis, CA, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Garth", 
            "givenName": "Christoph", 
            "id": "sg:person.01245455273.74", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01245455273.74"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/s11548-009-0302-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014442906", 
              "https://doi.org/10.1007/s11548-009-0302-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11548-009-0302-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014442906", 
              "https://doi.org/10.1007/s11548-009-0302-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/3-540-31272-2_13", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021075884", 
              "https://doi.org/10.1007/3-540-31272-2_13"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/3-540-31272-2_14", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022763779", 
              "https://doi.org/10.1007/3-540-31272-2_14"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2514/6.1999-3291", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032296900"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.media.2007.07.005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044507680"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.procs.2010.04.192", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045306543"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-94-015-8765-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052124163", 
              "https://doi.org/10.1007/978-94-015-8765-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-94-015-8765-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052124163", 
              "https://doi.org/10.1007/978-94-015-8765-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.1403336", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1057703157"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/2945.582332", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1061146249"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/tvcg.2005.67", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1061812541"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/tvcg.2007.70554", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1061812886"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/tvcg.2007.70602", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1061812931"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/tvcg.2008.148", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1061813000"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/tvcg.2009.177", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1061813191"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/tvcg.2009.44", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1061813242"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/visual.1990.146359", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1086271679"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/visual.1991.175773", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1086363361"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/visual.2004.105", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1093386098"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/visual.1994.346326", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1093794821"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/visual.1999.809896", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1094179339"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/visual.2005.1532841", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1094336427"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2012", 
        "datePublishedReg": "2012-01-01", 
        "description": "Topology was introduced in the visualization literature some 15 years ago as a mathematical language to describe and capture the salient structures of symmetric second-order tensor fields. Yet, despite significant theoretical and algorithmic advances, this approach has failed to gain wide acceptance in visualization practice over the last decade. In fact, the very idea of a versatile visualization methodology for tensor fields that could transcend application domains has been virtually abandoned in favor of problem-specific feature definitions and visual representations. We propose to revisit the basic idea underlying topology from a different perspective. To do so, we introduce a Lagrangian metaphor that transposes to the structural analysis of eigenvector fields a perspective that is commonly used in the study of fluid flows. Indeed, one can view eigenvector fields as the local superimposition of two vector fields, from which a bidirectional flow field can be defined. This allows us to analyze the structure of a tensor field through the behavior of fictitious particles advected by this flow. Specifically, we show that the separatrices of 3D tensor field topology can in fact be captured in a fuzzy and numerically more robust setting as ridges of a trajectory coherence measure. As a result, we propose an alternative structure characterization strategy for the visual analysis of practical 3D tensor fields, which we demonstrate on several synthetic and computational datasets.", 
        "editor": [
          {
            "familyName": "Laidlaw", 
            "givenName": "David H.", 
            "type": "Person"
          }, 
          {
            "familyName": "Vilanova", 
            "givenName": "Anna", 
            "type": "Person"
          }
        ], 
        "genre": "chapter", 
        "id": "sg:pub.10.1007/978-3-642-27343-8_5", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": {
          "isbn": [
            "978-3-642-27342-1", 
            "978-3-642-27343-8"
          ], 
          "name": "New Developments in the Visualization and Processing of Tensor Fields", 
          "type": "Book"
        }, 
        "name": "Beyond Topology: A Lagrangian Metaphor to Visualize the Structure of 3D Tensor Fields", 
        "pagination": "93-109", 
        "productId": [
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/978-3-642-27343-8_5"
            ]
          }, 
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "2288d4b269f5b3df4c4bc7dc8cf7c4afd3e4f95e986ad9005a7c2d6ca28f55ca"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1007250135"
            ]
          }
        ], 
        "publisher": {
          "location": "Berlin, Heidelberg", 
          "name": "Springer Berlin Heidelberg", 
          "type": "Organisation"
        }, 
        "sameAs": [
          "https://doi.org/10.1007/978-3-642-27343-8_5", 
          "https://app.dimensions.ai/details/publication/pub.1007250135"
        ], 
        "sdDataset": "chapters", 
        "sdDatePublished": "2019-04-15T23:37", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8697_00000012.jsonl", 
        "type": "Chapter", 
        "url": "http://link.springer.com/10.1007/978-3-642-27343-8_5"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-27343-8_5'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-27343-8_5'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-27343-8_5'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-27343-8_5'


     

    This table displays all metadata directly associated to this object as RDF triples.

    161 TRIPLES      23 PREDICATES      48 URIs      20 LITERALS      8 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/978-3-642-27343-8_5 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author Na1fe8f8424f34e8196b776832812b890
    4 schema:citation sg:pub.10.1007/3-540-31272-2_13
    5 sg:pub.10.1007/3-540-31272-2_14
    6 sg:pub.10.1007/978-94-015-8765-5
    7 sg:pub.10.1007/s11548-009-0302-5
    8 https://doi.org/10.1016/j.media.2007.07.005
    9 https://doi.org/10.1016/j.procs.2010.04.192
    10 https://doi.org/10.1063/1.1403336
    11 https://doi.org/10.1109/2945.582332
    12 https://doi.org/10.1109/tvcg.2005.67
    13 https://doi.org/10.1109/tvcg.2007.70554
    14 https://doi.org/10.1109/tvcg.2007.70602
    15 https://doi.org/10.1109/tvcg.2008.148
    16 https://doi.org/10.1109/tvcg.2009.177
    17 https://doi.org/10.1109/tvcg.2009.44
    18 https://doi.org/10.1109/visual.1990.146359
    19 https://doi.org/10.1109/visual.1991.175773
    20 https://doi.org/10.1109/visual.1994.346326
    21 https://doi.org/10.1109/visual.1999.809896
    22 https://doi.org/10.1109/visual.2004.105
    23 https://doi.org/10.1109/visual.2005.1532841
    24 https://doi.org/10.2514/6.1999-3291
    25 schema:datePublished 2012
    26 schema:datePublishedReg 2012-01-01
    27 schema:description Topology was introduced in the visualization literature some 15 years ago as a mathematical language to describe and capture the salient structures of symmetric second-order tensor fields. Yet, despite significant theoretical and algorithmic advances, this approach has failed to gain wide acceptance in visualization practice over the last decade. In fact, the very idea of a versatile visualization methodology for tensor fields that could transcend application domains has been virtually abandoned in favor of problem-specific feature definitions and visual representations. We propose to revisit the basic idea underlying topology from a different perspective. To do so, we introduce a Lagrangian metaphor that transposes to the structural analysis of eigenvector fields a perspective that is commonly used in the study of fluid flows. Indeed, one can view eigenvector fields as the local superimposition of two vector fields, from which a bidirectional flow field can be defined. This allows us to analyze the structure of a tensor field through the behavior of fictitious particles advected by this flow. Specifically, we show that the separatrices of 3D tensor field topology can in fact be captured in a fuzzy and numerically more robust setting as ridges of a trajectory coherence measure. As a result, we propose an alternative structure characterization strategy for the visual analysis of practical 3D tensor fields, which we demonstrate on several synthetic and computational datasets.
    28 schema:editor N4fea2d14b46e4f89a65726f9d0726b57
    29 schema:genre chapter
    30 schema:inLanguage en
    31 schema:isAccessibleForFree false
    32 schema:isPartOf Nbfc59a27bc324cd5a838c753dca3c0f2
    33 schema:name Beyond Topology: A Lagrangian Metaphor to Visualize the Structure of 3D Tensor Fields
    34 schema:pagination 93-109
    35 schema:productId Nb31cafde41704cb29b6fe1986acfec44
    36 Nb8dc08fd61434fc19a47e66842106fd1
    37 Ne9419541b3a849018564d77da3c475ec
    38 schema:publisher N62b1b46bb33746329c8c17f983c76294
    39 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007250135
    40 https://doi.org/10.1007/978-3-642-27343-8_5
    41 schema:sdDatePublished 2019-04-15T23:37
    42 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    43 schema:sdPublisher Ne01ae998c37448abb347240d24cb1ebd
    44 schema:url http://link.springer.com/10.1007/978-3-642-27343-8_5
    45 sgo:license sg:explorer/license/
    46 sgo:sdDataset chapters
    47 rdf:type schema:Chapter
    48 N30e353d0a4d34596999f80b262b31af0 rdf:first sg:person.01217101266.94
    49 rdf:rest Nd40c71d763744412b9efd07d9a02ac40
    50 N4fea2d14b46e4f89a65726f9d0726b57 rdf:first Nb1386fb58b1a4d98a0e65b16e7ba1469
    51 rdf:rest N5a45fa66653b4953829de36debf468be
    52 N5a45fa66653b4953829de36debf468be rdf:first N9380f15ce7f24f75902594aaad130b8d
    53 rdf:rest rdf:nil
    54 N62b1b46bb33746329c8c17f983c76294 schema:location Berlin, Heidelberg
    55 schema:name Springer Berlin Heidelberg
    56 rdf:type schema:Organisation
    57 N831a80f37e224978b30b798c99253303 rdf:first sg:person.01245455273.74
    58 rdf:rest rdf:nil
    59 N9380f15ce7f24f75902594aaad130b8d schema:familyName Vilanova
    60 schema:givenName Anna
    61 rdf:type schema:Person
    62 Na1fe8f8424f34e8196b776832812b890 rdf:first sg:person.014405044562.80
    63 rdf:rest N30e353d0a4d34596999f80b262b31af0
    64 Nb1386fb58b1a4d98a0e65b16e7ba1469 schema:familyName Laidlaw
    65 schema:givenName David H.
    66 rdf:type schema:Person
    67 Nb31cafde41704cb29b6fe1986acfec44 schema:name readcube_id
    68 schema:value 2288d4b269f5b3df4c4bc7dc8cf7c4afd3e4f95e986ad9005a7c2d6ca28f55ca
    69 rdf:type schema:PropertyValue
    70 Nb8dc08fd61434fc19a47e66842106fd1 schema:name dimensions_id
    71 schema:value pub.1007250135
    72 rdf:type schema:PropertyValue
    73 Nbfc59a27bc324cd5a838c753dca3c0f2 schema:isbn 978-3-642-27342-1
    74 978-3-642-27343-8
    75 schema:name New Developments in the Visualization and Processing of Tensor Fields
    76 rdf:type schema:Book
    77 Nd40c71d763744412b9efd07d9a02ac40 rdf:first sg:person.0671116705.28
    78 rdf:rest N831a80f37e224978b30b798c99253303
    79 Ne01ae998c37448abb347240d24cb1ebd schema:name Springer Nature - SN SciGraph project
    80 rdf:type schema:Organization
    81 Ne9419541b3a849018564d77da3c475ec schema:name doi
    82 schema:value 10.1007/978-3-642-27343-8_5
    83 rdf:type schema:PropertyValue
    84 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    85 schema:name Mathematical Sciences
    86 rdf:type schema:DefinedTerm
    87 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    88 schema:name Pure Mathematics
    89 rdf:type schema:DefinedTerm
    90 sg:person.01217101266.94 schema:affiliation https://www.grid.ac/institutes/grid.27860.3b
    91 schema:familyName Hlawitschka
    92 schema:givenName Mario
    93 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01217101266.94
    94 rdf:type schema:Person
    95 sg:person.01245455273.74 schema:affiliation https://www.grid.ac/institutes/grid.27860.3b
    96 schema:familyName Garth
    97 schema:givenName Christoph
    98 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01245455273.74
    99 rdf:type schema:Person
    100 sg:person.014405044562.80 schema:affiliation https://www.grid.ac/institutes/grid.169077.e
    101 schema:familyName Tricoche
    102 schema:givenName Xavier
    103 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014405044562.80
    104 rdf:type schema:Person
    105 sg:person.0671116705.28 schema:affiliation https://www.grid.ac/institutes/grid.169077.e
    106 schema:familyName Barakat
    107 schema:givenName Samer
    108 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0671116705.28
    109 rdf:type schema:Person
    110 sg:pub.10.1007/3-540-31272-2_13 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021075884
    111 https://doi.org/10.1007/3-540-31272-2_13
    112 rdf:type schema:CreativeWork
    113 sg:pub.10.1007/3-540-31272-2_14 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022763779
    114 https://doi.org/10.1007/3-540-31272-2_14
    115 rdf:type schema:CreativeWork
    116 sg:pub.10.1007/978-94-015-8765-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052124163
    117 https://doi.org/10.1007/978-94-015-8765-5
    118 rdf:type schema:CreativeWork
    119 sg:pub.10.1007/s11548-009-0302-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014442906
    120 https://doi.org/10.1007/s11548-009-0302-5
    121 rdf:type schema:CreativeWork
    122 https://doi.org/10.1016/j.media.2007.07.005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044507680
    123 rdf:type schema:CreativeWork
    124 https://doi.org/10.1016/j.procs.2010.04.192 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045306543
    125 rdf:type schema:CreativeWork
    126 https://doi.org/10.1063/1.1403336 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057703157
    127 rdf:type schema:CreativeWork
    128 https://doi.org/10.1109/2945.582332 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061146249
    129 rdf:type schema:CreativeWork
    130 https://doi.org/10.1109/tvcg.2005.67 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061812541
    131 rdf:type schema:CreativeWork
    132 https://doi.org/10.1109/tvcg.2007.70554 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061812886
    133 rdf:type schema:CreativeWork
    134 https://doi.org/10.1109/tvcg.2007.70602 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061812931
    135 rdf:type schema:CreativeWork
    136 https://doi.org/10.1109/tvcg.2008.148 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061813000
    137 rdf:type schema:CreativeWork
    138 https://doi.org/10.1109/tvcg.2009.177 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061813191
    139 rdf:type schema:CreativeWork
    140 https://doi.org/10.1109/tvcg.2009.44 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061813242
    141 rdf:type schema:CreativeWork
    142 https://doi.org/10.1109/visual.1990.146359 schema:sameAs https://app.dimensions.ai/details/publication/pub.1086271679
    143 rdf:type schema:CreativeWork
    144 https://doi.org/10.1109/visual.1991.175773 schema:sameAs https://app.dimensions.ai/details/publication/pub.1086363361
    145 rdf:type schema:CreativeWork
    146 https://doi.org/10.1109/visual.1994.346326 schema:sameAs https://app.dimensions.ai/details/publication/pub.1093794821
    147 rdf:type schema:CreativeWork
    148 https://doi.org/10.1109/visual.1999.809896 schema:sameAs https://app.dimensions.ai/details/publication/pub.1094179339
    149 rdf:type schema:CreativeWork
    150 https://doi.org/10.1109/visual.2004.105 schema:sameAs https://app.dimensions.ai/details/publication/pub.1093386098
    151 rdf:type schema:CreativeWork
    152 https://doi.org/10.1109/visual.2005.1532841 schema:sameAs https://app.dimensions.ai/details/publication/pub.1094336427
    153 rdf:type schema:CreativeWork
    154 https://doi.org/10.2514/6.1999-3291 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032296900
    155 rdf:type schema:CreativeWork
    156 https://www.grid.ac/institutes/grid.169077.e schema:alternateName Purdue University
    157 schema:name Purdue University, Lafayette, IN, USA
    158 rdf:type schema:Organization
    159 https://www.grid.ac/institutes/grid.27860.3b schema:alternateName University of California, Davis
    160 schema:name University of California at Davis, Davis, CA, USA
    161 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...