A Halfedge Refinement Rule for Parallel Catmull‐Clark Subdivision

We show that Catmull‐Clark subdivision induces an invariant one‐to‐four refinement rule for halfedges that reduces to simple algebraic expressions. This has two important consequences. First, it allows to refine the halfedges of the input mesh, which completely describe its topology, concurrently in...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Computer graphics forum Ročník 40; číslo 8; s. 57 - 70
Hlavní autori: Dupuy, J., Vanhoey, K.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Oxford Blackwell Publishing Ltd 01.12.2021
Predmet:
Apexes
CCS Concepts
Computing methodologies → Massively parallel algorithms
Rendering
Topology
ISSN:0167-7055, 1467-8659
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Abstract We show that Catmull‐Clark subdivision induces an invariant one‐to‐four refinement rule for halfedges that reduces to simple algebraic expressions. This has two important consequences. First, it allows to refine the halfedges of the input mesh, which completely describe its topology, concurrently in breadth‐first order. Second, it makes the computation of the vertex points straightforward as the halfedges provide all the information that is needed. We leverage these results to derive a novel parallel implementation of Catmull‐Clark subdivision suitable for the GPU. Our implementation supports non‐quad faces, extraordinary vertices, boundaries and semi‐sharp creases seamlessly. Moreover, we show that its speed scales linearly with the number of processors, and yields state‐of‐the‐art performances on modern GPUs.
AbstractList We show that Catmull‐Clark subdivision induces an invariant one‐to‐four refinement rule for halfedges that reduces to simple algebraic expressions. This has two important consequences. First, it allows to refine the halfedges of the input mesh, which completely describe its topology, concurrently in breadth‐first order. Second, it makes the computation of the vertex points straightforward as the halfedges provide all the information that is needed. We leverage these results to derive a novel parallel implementation of Catmull‐Clark subdivision suitable for the GPU. Our implementation supports non‐quad faces, extraordinary vertices, boundaries and semi‐sharp creases seamlessly. Moreover, we show that its speed scales linearly with the number of processors, and yields state‐of‐the‐art performances on modern GPUs.
Author Vanhoey, K.
Dupuy, J.
Author_xml – sequence: 1
  givenname: J.
  surname: Dupuy
  fullname: Dupuy, J.
  organization: Unity Technologies
– sequence: 2
  givenname: K.
  orcidid: 0000-0001-8816-6168
  surname: Vanhoey
  fullname: Vanhoey, K.
  organization: Unity Technologies
BookMark eNp9kL9OwzAQxi1UJNrCwBtYYmJIaye2k4xVRFukSqACs-Uk58rFTYqTgLrxCDwjT4JLmJDghrsbft_9-UZoUNUVIHRJyYT6mBYbPaEsSugJGlIm4iARPB2gIaG-jwnnZ2jUNFtCCIsFH6JshpfKaig3gNegTQU7qFq87ixgXTt8r5yyFizOVLvrrP18_8iscs_4octL82oaU1fn6FQr28DFTx2jp_nNY7YMVneL22y2CoowjWmgCCm1SDUDUIk-JqF15M9gAqKEFEpFUZozCPOSJDyHUIiQhlRrnucsJHE0Rlf93L2rXzpoWrmtO1f5lTIUJGKMx5x76rqnClc3jQMt987slDtISuTRI-k9kt8eeXb6iy1Mq1r_U-uUsf8p3oyFw9-jZbaY94ovkYR5_Q
CitedBy_id crossref_primary_10_15701_kcgs_2025_31_3_99
crossref_primary_10_3390_computers12040085
crossref_primary_10_1111_cgf_14442
crossref_primary_10_1080_13658816_2023_2284908
crossref_primary_10_1145_3651298
crossref_primary_10_1145_3675371
crossref_primary_10_1111_cgf_14863
crossref_primary_10_1145_3731186
Cites_doi 10.1109/MCG.1985.276271
10.1145/1572769.1572785
10.1145/2699276.2699282
10.1145/1618452.1618501
10.1016/0010-4485(78)90110-0
10.1145/2897824.2925874
10.1111/cgf.13144
10.1145/280814.280945
10.1145/280814.280826
10.1016/S0925-7721(99)00007-3
10.1145/192161.192233
10.1201/b10688
10.1145/1330511.1330519
10.1080/10867651.1998.10487494
10.1111/cgf.13934
10.1145/1618452.1618497
10.1111/j.1467-8659.2011.02083.x
10.1145/504502.504505
10.1016/0146-664X(74)90028-8
10.1145/1507149.1507174
10.1145/1409060.1409096
10.1145/2077341.2077347
10.1145/1073204.1073304
10.1007/978-3-319-02335-9_27
ContentType Journal Article
Copyright 2021 The Author(s) Computer Graphics Forum © 2021 The Eurographics Association and John Wiley & Sons Ltd. Published by John Wiley & Sons Ltd.
2021 The Eurographics Association and John Wiley & Sons Ltd.
Copyright_xml – notice: 2021 The Author(s) Computer Graphics Forum © 2021 The Eurographics Association and John Wiley & Sons Ltd. Published by John Wiley & Sons Ltd.
– notice: 2021 The Eurographics Association and John Wiley & Sons Ltd.
DBID AAYXX
CITATION
7SC
8FD
JQ2
L7M
L~C
L~D
DOI 10.1111/cgf.14381
DatabaseName CrossRef
Computer and Information Systems Abstracts
Technology Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Computer and Information Systems Abstracts
Technology Research Database
Computer and Information Systems Abstracts – Academic
Advanced Technologies Database with Aerospace
ProQuest Computer Science Collection
Computer and Information Systems Abstracts Professional
DatabaseTitleList
Computer and Information Systems Abstracts
CrossRef
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1467-8659
EndPage 70
ExternalDocumentID 10_1111_cgf_14381
CGF14381
Genre article
GroupedDBID .3N
.4S
.DC
.GA
.Y3
05W
0R~
10A
15B
1OB
1OC
29F
31~
33P
3SF
4.4
50Y
50Z
51W
51X
52M
52N
52O
52P
52S
52T
52U
52W
52X
5GY
5HH
5LA
5VS
66C
6J9
702
7PT
8-0
8-1
8-3
8-4
8-5
8UM
8VB
930
A03
AAESR
AAEVG
AAHHS
AAHQN
AAMNL
AANHP
AANLZ
AAONW
AASGY
AAXRX
AAYCA
AAZKR
ABCQN
ABCUV
ABDBF
ABDPE
ABEML
ABPVW
ACAHQ
ACBWZ
ACCFJ
ACCZN
ACFBH
ACGFS
ACPOU
ACRPL
ACSCC
ACUHS
ACXBN
ACXQS
ACYXJ
ADBBV
ADEOM
ADIZJ
ADKYN
ADMGS
ADNMO
ADOZA
ADXAS
ADZMN
ADZOD
AEEZP
AEGXH
AEIGN
AEIMD
AEMOZ
AENEX
AEQDE
AEUQT
AEUYR
AFBPY
AFEBI
AFFNX
AFFPM
AFGKR
AFPWT
AFWVQ
AFZJQ
AHBTC
AHEFC
AHQJS
AITYG
AIURR
AIWBW
AJBDE
AJXKR
AKVCP
ALAGY
ALMA_UNASSIGNED_HOLDINGS
ALUQN
ALVPJ
AMBMR
AMYDB
ARCSS
ASPBG
ATUGU
AUFTA
AVWKF
AZBYB
AZFZN
AZVAB
BAFTC
BDRZF
BFHJK
BHBCM
BMNLL
BMXJE
BNHUX
BROTX
BRXPI
BY8
CAG
COF
CS3
CWDTD
D-E
D-F
DCZOG
DPXWK
DR2
DRFUL
DRSTM
DU5
EAD
EAP
EBA
EBO
EBR
EBS
EBU
EDO
EJD
EMK
EST
ESX
F00
F01
F04
F5P
FEDTE
FZ0
G-S
G.N
GODZA
H.T
H.X
HF~
HGLYW
HVGLF
HZI
HZ~
I-F
IHE
IX1
J0M
K1G
K48
LATKE
LC2
LC3
LEEKS
LH4
LITHE
LOXES
LP6
LP7
LUTES
LW6
LYRES
MEWTI
MK4
MRFUL
MRSTM
MSFUL
MSSTM
MXFUL
MXSTM
N04
N05
N9A
NF~
O66
O9-
OIG
P2W
P2X
P4D
PALCI
PQQKQ
Q.N
Q11
QB0
QWB
R.K
RDJ
RIWAO
RJQFR
ROL
RX1
SAMSI
SUPJJ
TH9
TN5
TUS
UB1
V8K
W8V
W99
WBKPD
WIH
WIK
WOHZO
WQJ
WRC
WXSBR
WYISQ
WZISG
XG1
ZL0
ZZTAW
~IA
~IF
~WT
AAMMB
AAYXX
ADMLS
AEFGJ
AEYWJ
AGHNM
AGQPQ
AGXDD
AGYGG
AIDQK
AIDYY
AIQQE
CITATION
O8X
7SC
8FD
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c2971-a00df69f4eea8feea86ff347646e380caa339b4e2bd085be2662121ff5bb42073
IEDL.DBID DRFUL
ISICitedReferencesCount 8
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000723010900006&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0167-7055
IngestDate Sun Nov 30 04:17:34 EST 2025
Sat Nov 29 03:41:20 EST 2025
Tue Nov 18 22:39:04 EST 2025
Wed Jan 22 16:26:46 EST 2025
IsPeerReviewed true
IsScholarly true
Issue 8
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c2971-a00df69f4eea8feea86ff347646e380caa339b4e2bd085be2662121ff5bb42073
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0001-8816-6168
PQID 2603445755
PQPubID 30877
PageCount 14
ParticipantIDs proquest_journals_2603445755
crossref_primary_10_1111_cgf_14381
crossref_citationtrail_10_1111_cgf_14381
wiley_primary_10_1111_cgf_14381_CGF14381
PublicationCentury 2000
PublicationDate December 2021
2021-12-00
20211201
PublicationDateYYYYMMDD 2021-12-01
PublicationDate_xml – month: 12
  year: 2021
  text: December 2021
PublicationDecade 2020
PublicationPlace Oxford
PublicationPlace_xml – name: Oxford
PublicationTitle Computer graphics forum
PublicationYear 2021
Publisher Blackwell Publishing Ltd
Publisher_xml – name: Blackwell Publishing Ltd
References 2012
1985; 5
2017; 36
2010
1978; 10
2021
2020
2008; 27
1998
1999; 13
2009
2020; 39
2019
1998; 3
1994
2015
2014
2005; 2
1974; 3
2012; 31
2005; 24
2009; 28
e_1_2_10_22_2
e_1_2_10_23_2
e_1_2_10_20_2
e_1_2_10_21_2
The CGAL Project (e_1_2_10_27_2) 2021
e_1_2_10_19_2
e_1_2_10_3_2
e_1_2_10_17_2
e_1_2_10_2_2
e_1_2_10_18_2
e_1_2_10_15_2
e_1_2_10_4_2
e_1_2_10_16_2
e_1_2_10_7_2
e_1_2_10_13_2
e_1_2_10_6_2
e_1_2_10_14_2
e_1_2_10_9_2
e_1_2_10_11_2
e_1_2_10_8_2
e_1_2_10_12_2
e_1_2_10_10_2
e_1_2_10_30_2
Bunnell M. (e_1_2_10_5_2) 2005
e_1_2_10_28_2
e_1_2_10_29_2
e_1_2_10_26_2
e_1_2_10_24_2
e_1_2_10_25_2
References_xml – volume: 3
  start-page: 346
  issue: 4
  year: 1974
  end-page: 349
  article-title: An algorithm for high‐speed curve generation
  publication-title: Computer Graphics and Image Processing
– start-page: 31
  year: 2015
  end-page: 38
– year: 2021
– start-page: 155
  year: 2009
  end-page: 160
– volume: 31
  issue: 1
  year: 2012
  article-title: Feature‐adaptive gpu rendering of catmull‐clark subdivision surfaces
  publication-title: ACM Trans. Graph.
– volume: 3
  start-page: 1
  issue: 4
  year: 1998
  end-page: 11
  article-title: Directed edges–a scalable representation for triangle meshes
  publication-title: Journal of Graphics Tools
– year: 2010
– year: 2012
– start-page: 11
  end-page: 17
– start-page: 85
  year: 1998
  end-page: 94
– start-page: 99
  year: 2009
  end-page: 108
  article-title: Parallel view‐dependent tessellation of catmull‐clark subdivision surfaces
– start-page: 295
  year: 1994
  end-page: 302
– volume: 27
  issue: 1
  year: 2008
  article-title: Approximating catmull‐clark subdivision surfaces with bicubic patches
  publication-title: ACM Trans. Graph.
– volume: 2
  start-page: 109
  year: 2005
  end-page: 122
  article-title: Adaptive tessellation of subdivision surfaces with displacement mapping
– start-page: 485
  year: 2014
  end-page: 503
– start-page: 1
  end-page: 9
– volume: 27
  issue: 5
  year: 2008
  article-title: Real‐time reyes‐style adaptive surface subdivision
  publication-title: ACM Trans. Graph.
– year: 2020
– volume: 36
  start-page: 495
  issue: 2
  year: 2017
  end-page: 507
  article-title: A gpu‐adapted structure for unstructured grids
  publication-title: Computer Graphics Forum
– volume: 39
  start-page: 335
  issue: 2
  year: 2020
  end-page: 349
  article-title: Subdivision‐specialized linear algebra kernels for static and dynamic mesh connectivity on the gpu
  publication-title: Computer Graphics Forum
– volume: 5
  start-page: 21
  issue: 1
  year: 1985
  end-page: 40
  article-title: Edge‐based data structures for solid modeling in curved‐surface environments
  publication-title: IEEE Computer Graphics and Applications
– volume: 10
  start-page: 350
  issue: 6
  year: 1978
  end-page: 355
  article-title: Recursively generated b‐spline surfaces on arbitrary topological meshes
  publication-title: Computer‐Aided Design
– volume: 24
  start-page: 1010
  issue: 3
  year: 2005
  end-page: 1015
  article-title: A realtime gpu subdivision kernel
  publication-title: ACM Trans. Graph.
– volume: 31
  start-page: 42
  issue: 1
  year: 2012
  end-page: 61
  article-title: Beyond catmull‐clark? a survey of advances in subdivision surface methods
  publication-title: Computer Graphics Forum
– volume: 28
  start-page: 1
  issue: 5
  year: 2009
  end-page: 11
  article-title: Renderants: Interactive reyes rendering on gpus
  publication-title: ACM Trans. Graph.
– volume: 13
  start-page: 65
  issue: 1
  year: 1999
  end-page: 90
  article-title: Using generic programming for designing a data structure for polyhedral surfaces
  publication-title: Computational Geometry
– year: 2019
– start-page: 395
  year: 1998
  end-page: 404
– ident: e_1_2_10_23_2
– ident: e_1_2_10_28_2
  doi: 10.1109/MCG.1985.276271
– ident: e_1_2_10_18_2
– ident: e_1_2_10_20_2
  doi: 10.1145/1572769.1572785
– start-page: 109
  volume-title: GPU Gems
  year: 2005
  ident: e_1_2_10_5_2
– ident: e_1_2_10_25_2
  doi: 10.1145/2699276.2699282
– ident: e_1_2_10_29_2
  doi: 10.1145/1618452.1618501
– ident: e_1_2_10_22_2
– ident: e_1_2_10_7_2
  doi: 10.1016/0010-4485(78)90110-0
– ident: e_1_2_10_2_2
  doi: 10.1145/2897824.2925874
– ident: e_1_2_10_30_2
  doi: 10.1111/cgf.13144
– ident: e_1_2_10_26_2
  doi: 10.1145/280814.280945
– ident: e_1_2_10_10_2
  doi: 10.1145/280814.280826
– ident: e_1_2_10_12_2
  doi: 10.1016/S0925-7721(99)00007-3
– volume-title: CGAL User and Reference Manual
  year: 2021
  ident: e_1_2_10_27_2
– ident: e_1_2_10_11_2
  doi: 10.1145/192161.192233
– ident: e_1_2_10_3_2
  doi: 10.1201/b10688
– ident: e_1_2_10_15_2
  doi: 10.1145/1330511.1330519
– ident: e_1_2_10_9_2
  doi: 10.1080/10867651.1998.10487494
– ident: e_1_2_10_17_2
  doi: 10.1111/cgf.13934
– ident: e_1_2_10_16_2
  doi: 10.1145/1618452.1618497
– ident: e_1_2_10_6_2
  doi: 10.1111/j.1467-8659.2011.02083.x
– ident: e_1_2_10_4_2
  doi: 10.1145/504502.504505
– ident: e_1_2_10_8_2
  doi: 10.1016/0146-664X(74)90028-8
– ident: e_1_2_10_13_2
  doi: 10.1145/1507149.1507174
– ident: e_1_2_10_21_2
  doi: 10.1145/1409060.1409096
– ident: e_1_2_10_19_2
  doi: 10.1145/2077341.2077347
– ident: e_1_2_10_24_2
  doi: 10.1145/1073204.1073304
– ident: e_1_2_10_14_2
  doi: 10.1007/978-3-319-02335-9_27
SSID ssj0004765
Score 2.3746555
Snippet We show that Catmull‐Clark subdivision induces an invariant one‐to‐four refinement rule for halfedges that reduces to simple algebraic expressions. This has...
SourceID proquest
crossref
wiley
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 57
SubjectTerms Apexes
CCS Concepts
Computing methodologies → Massively parallel algorithms
Rendering
Topology
Title A Halfedge Refinement Rule for Parallel Catmull‐Clark Subdivision
URI https://onlinelibrary.wiley.com/doi/abs/10.1111%2Fcgf.14381
https://www.proquest.com/docview/2603445755
Volume 40
WOSCitedRecordID wos000723010900006&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVWIB
  databaseName: Wiley Online Library Full Collection 2020
  customDbUrl:
  eissn: 1467-8659
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0004765
  issn: 0167-7055
  databaseCode: DRFUL
  dateStart: 19970101
  isFulltext: true
  titleUrlDefault: https://onlinelibrary.wiley.com
  providerName: Wiley-Blackwell
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8NAEF5K60EPvsVqlUU8eImkye4mi6dSjT2UUoqF3sI-RYhV-vDsT_A3-kucTZO2goLgJQSySZbZeTPzDUKX2o-lVZx7TamVR2LpZC5SngklU5xyKnTeKNyNer14NOL9Crope2EW-BDLhJuTjFxfOwEXcrom5OrRXrvZ3RD61ALgW1pFtdtBMuyu2iIjRktobwcaUwALuUKe5cvfzdHKx1z3VHNTk-z8a5O7aLvwMHFrwRJ7qGLG-2hrDXfwALVbuCMy61JpeGAsPHA5QjyYZwaDE4v7YuJGrGS4LWbPEKN-vn_kdTwY1Izr33IZtkM0TO4e2h2vmKbgqYBHTU_4vraMW2KMiK27MGtDoBFhJox9JUQYcklMIOH8qDRgucGsNa2lUpIANMERqo5fxuYYYct0FAvtB9pQojSDIBfCpkj6SjGula6jq5KoqSqgxt3EiywtQw6gS5rTpY4ulktfF_gaPy1qlCeTFiI2TSEQCwkBb5PC7_Iz-P0Dafs-yW9O_r70FG0Grn4lL11poOpsMjdnaEO9zZ6mk_OC174AzoTX4g
linkProvider Wiley-Blackwell
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8NAEF5KK6gH32K16iIevETSZPNY8FKitWIspbTQW9inCLFKH579Cf5Gf4mzadJWUBC8hEAm2TA7s_Ng5huEzqUdci0otepcCouE3OhcICzlcl9Qj3pMZo3CcdBuh4MB7ZTQVdELM8OHmCfcjGZk57VRcJOQXtJy8agvzfBuiH0qBMQI5Lty3W3240VfZOB7Bba3QY3JkYVMJc_85e_2aOFkLruqma1pbv7vL7fQRu5j4sZMKLZRSQ130PoS8uAuihq4xVJtkmm4qzQ8MFlC3J2mCoMbiztsZIaspDhik2dY6vP9I6vkwXDQmA4uk2PbQ_3mTS9qWfk8BUs4NKhbzLal9qkmSrFQm4uvtQtMIr5yQ1sw5rqUE-Vw2EGPK7DdYNjqWnucEwfOgn1UHr4M1QHC2pdByKTtSOURIX0IcyFwCrgthE-lkFV0UXA1ETnYuJl5kSZF0AF8STK-VNHZnPR1hrDxE1Gt2JokV7JxAqGYSwj4mx4sl23C7x9IottmdnP4d9JTtNrqPcRJfNe-P0JrjqlmyQpZaqg8GU3VMVoRb5On8egkF7wvwyjb0g
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8NAEB5KK6IH32K16iIevETSZPNY8FJSY8VSSrHQW9inCLGWPjz7E_yN_hJ306StoCB4CYFMkmVmZ-fBzDcAl8IOmeKEWHUmuIVDZnQu4JZ0mc-JRzwqskbhdtDphIMB6ZbgpuiFmeNDLBJuRjOy89oouBwJtaLl_Eldm-HdOvapYDNEpgyVZi_ut5d9kYHvFdjeBjUmRxYylTyLl7_bo6WTueqqZrYm3v7fKndgK_cxUWO-KXahJId7sLmCPLgPUQO1aKpMMg31pNIPTJYQ9WapRNqNRV06NkNWUhTR6YuOUj_fP7JKHqQPGtPBZXJsB9CPbx-jlpXPU7C4Q4K6RW1bKJ8oLCUNlbn4SrmaSdiXbmhzSl2XMCwdpiXoMalttzZsdaU8xrCjz4JDKA9fh_IIkPJFEFJhO0J6mAtfh7k6cAqYzblPBBdVuCq4mvAcbNzMvEiTIujQfEkyvlThYkE6miNs_ERUK0ST5Eo2SXQo5mKs_U1P_y4Twu8fSKK7OLs5_jvpOax3m3HSvu88nMCGY4pZsjqWGpSn45k8hTX-Nn2ejM_yffcFg7vbTQ
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%3Ajournal&rft.genre=article&rft.atitle=A+Halfedge+Refinement+Rule+for+Parallel+Catmull%E2%80%90Clark+Subdivision&rft.jtitle=Computer+graphics+forum&rft.au=Dupuy%2C+J.&rft.au=Vanhoey%2C+K.&rft.date=2021-12-01&rft.issn=0167-7055&rft.eissn=1467-8659&rft.volume=40&rft.issue=8&rft.spage=57&rft.epage=70&rft_id=info:doi/10.1111%2Fcgf.14381&rft.externalDBID=10.1111%252Fcgf.14381&rft.externalDocID=CGF14381
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0167-7055&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0167-7055&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0167-7055&client=summon