{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,17]],"date-time":"2025-01-17T05:09:47Z","timestamp":1737090587415,"version":"3.33.0"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2024,11,1]],"date-time":"2024-11-01T00:00:00Z","timestamp":1730419200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,11,1]],"date-time":"2024-11-01T00:00:00Z","timestamp":1730419200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J. Comput. Sci. Technol."],"published-print":{"date-parts":[[2024,11]]},"DOI":"10.1007\/s11390-024-2874-5","type":"journal-article","created":{"date-parts":[[2025,1,16]],"date-time":"2025-01-16T05:21:59Z","timestamp":1737004919000},"page":"1466-1479","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Generation of Escher-Like Rosette Drawings"],"prefix":"10.1007","volume":"39","author":[{"given":"Pei-Chang","family":"Ouyang","sequence":"first","affiliation":[]},{"given":"Kwok-Wai","family":"Chung","sequence":"additional","affiliation":[]},{"given":"Robert W.","family":"Fathauer","sequence":"additional","affiliation":[]},{"given":"Alain","family":"Nicolas","sequence":"additional","affiliation":[]},{"given":"Jian-Hua","family":"Pang","sequence":"additional","affiliation":[]},{"given":"Shi-Yun","family":"Cao","sequence":"additional","affiliation":[]},{"given":"Krzysztof","family":"Gdawiec","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,1,16]]},"reference":[{"key":"2874_CR1","volume-title":"Fractals Everywhere","author":"M F Barnsley","year":"2012","unstructured":"Barnsley M F. Fractals Everywhere (3rd edition). Dover Publications, 2012.","edition":"3rd edition"},{"issue":"1","key":"2874_CR2","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1111\/cgf.12783","volume":"36","author":"K Gdawiec","year":"2017","unstructured":"Gdawiec K. Inversion fractals and iteration processes in the generation of aesthetic patterns. Computer Graphics Forum, 2017, 36(1): 35\u201345. DOI: https:\/\/doi.org\/10.1111\/cgf.12783.","journal-title":"Computer Graphics Forum"},{"key":"2874_CR3","series-title":"Society for Industrial and Applied Mathematics","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898717709","volume-title":"Symmetry in Chaos: A Search for Pattern in Mathematics, Art, and Nature","author":"M Field","year":"2009","unstructured":"Field M, Golubitsky M. Symmetry in Chaos: A Search for Pattern in Mathematics, Art, and Nature (2nd edition). Society for Industrial and Applied Mathematics, 2009.","edition":"2nd edition"},{"issue":"12","key":"2874_CR4","doi-asserted-by":"publisher","first-page":"2031","DOI":"10.1016\/S0960-0779(97)00157-4","volume":"9","author":"N C Carter","year":"1998","unstructured":"Carter N C, Eagles R L, Grimes S M, Hahn A C, Reiter C A. Chaotic attractors with discrete planar symmetries. Chaos, Solitons & Fractals, 1998, 9(12): 2031\u20132054. DOI: https:\/\/doi.org\/10.1016\/S0960-0779(97)00157-4.","journal-title":"Chaos, Solitons & Fractals"},{"key":"2874_CR5","volume-title":"Tilings and Patterns","author":"B Gr\u00fcnbaum","year":"2016","unstructured":"Gr\u00fcnbaum B, Shephard G C. Tilings and Patterns (2nd edition). Dover Publications, 2016.","edition":"2nd edition"},{"issue":"3","key":"2874_CR6","doi-asserted-by":"publisher","first-page":"470","DOI":"10.1016\/j.cag.2006.02.009","volume":"30","author":"Y Zou","year":"2006","unstructured":"Zou Y, Li W, Lu J, Ye R. Orbit trap rendering method for generating artistic images with cyclic or dihedral symmetry. Computers & Graphics, 2006, 30(3): 470\u2013473. DOI: https:\/\/doi.org\/10.1016\/j.cag.2006.02.009.","journal-title":"Computers & Graphics"},{"issue":"3","key":"2874_CR7","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1145\/965161.806808","volume":"15","author":"D Dunham","year":"1981","unstructured":"Dunham D, Lindgren J, Witte D. Creating repeating hyperbolic patterns. ACM SIGGRAPH Computer Graphics, 1981, 15(3): 215\u2013223. DOI: https:\/\/doi.org\/10.1145\/965161.806808.","journal-title":"ACM SIGGRAPH Computer Graphics"},{"issue":"2","key":"2874_CR8","doi-asserted-by":"publisher","first-page":"72","DOI":"10.1109\/MCG.2014.23","volume":"34","author":"P Ouyang","year":"2014","unstructured":"Ouyang P, Chung K. Beautiful math, part 3: Hyperbolic aesthetic patterns based on conformal mappings. IEEE Computer Graphics and Applications, 2014, 34(2): 72\u201379. DOI: https:\/\/doi.org\/10.1109\/MCG.2014.23.","journal-title":"IEEE Computer Graphics and Applications"},{"issue":"1","key":"2874_CR9","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1007\/s11071-018-4357-0","volume":"94","author":"P C Ouyang","year":"2018","unstructured":"Ouyang P C, Tang X, Chung K W, Yu T. Spiral patterns of color symmetry from dynamics. Nonlinear Dynamics, 2018, 94(1): 261\u2013272. DOI: https:\/\/doi.org\/10.1007\/sll071-018-4357-0.","journal-title":"Nonlinear Dynamics"},{"issue":"5","key":"2874_CR10","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1080\/0025570X.2000.11996873","volume":"73","author":"D L Stock","year":"2000","unstructured":"Stock D L, Wichmann B A. Odd spiral tilings. Mathematics Magazine, 2000, 73(5): 339\u2013346. DOI: https:\/\/doi.org\/10.1080\/0025570X.2000.11996873.","journal-title":"Mathematics Magazine"},{"key":"2874_CR11","volume-title":"Escher: Visions of Symmetry","author":"D M C Schattschneider","year":"2004","unstructured":"Schattschneider D. M. C. Escher: Visions of Symmetry. Harry N. Abrams, 2004."},{"key":"2874_CR12","series-title":"Ph. D. Thesis","volume-title":"Computer graphics and geometric ornamental design","author":"C S Kaplan","year":"2002","unstructured":"Kaplan C S. Computer graphics and geometric ornamental design [Ph. D. Thesis]. University of Washington, Washington, 2002."},{"key":"2874_CR13","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1145\/344779.345022","volume-title":"Proc. the 27th Annual Conference on Computer Graphics and Interactive Techniques","author":"C S Kaplan","year":"2000","unstructured":"Kaplan C S, Salesin D H. Escherization. In Proc. the 27th Annual Conference on Computer Graphics and Interactive Techniques, Jul. 2000, pp.499\u2013510. DOI: https:\/\/doi.org\/10.1145\/344779.345022."},{"key":"2874_CR14","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1145\/364338.364371","volume-title":"Proc. the 2001 Symposium on Interactive 3D Graphics","author":"J Yen","year":"2001","unstructured":"Yen J, S\u00e9quin C. Escher sphere construction kit. In Proc. the 2001 Symposium on Interactive 3D Graphics, Mar. 2001, pp.95\u201398. DOI: https:\/\/doi.org\/10.1145\/364338.364371."},{"key":"2874_CR15","first-page":"39","volume-title":"Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture","author":"C S Kaplan","year":"2008","unstructured":"Kaplan C S. Metamorphosis in Escher\u2019s art. In Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture, Sarhangi R, S\u00e9quin C H (eds.), Tarquin Publications, 2008, pp.39\u201346."},{"issue":"3","key":"2874_CR16","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1145\/3456298","volume":"40","author":"P C Ouyang","year":"2021","unstructured":"Ouyang P C, Chung K W, Nicolas A, Gdawiec K. Self-similar fractal drawings inspired by M. C. Escher\u2019s print Square Limit. ACM Trans. Graphics, 2021, 40(3): 31. DOI: https:\/\/doi.org\/10.1145\/3456298.","journal-title":"ACM Trans. Graphics"},{"issue":"2","key":"2874_CR17","doi-asserted-by":"publisher","first-page":"1103","DOI":"10.1109\/TVCG.2017.2660488","volume":"24","author":"S S Lin","year":"2018","unstructured":"Lin S S, Morace C C, Lin C H, Hsu L F, Lee T Y. Generation of Escher arts with dual perception. IEEE Trans. Visualization and Computer Graphics, 2018, 24(2): 1103\u20131113. DOI: https:\/\/doi.org\/10.1109\/TVCG.2017.2660488.","journal-title":"IEEE Trans. Visualization and Computer Graphics"},{"issue":"4","key":"2874_CR18","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1080\/17513470903185626","volume":"3","author":"K Sugihara","year":"2009","unstructured":"Sugihara K. Computer-aided generation of Escher-like Sky and Water tiling patterns. Journal of Mathematics and the Arts, 2009, 3(4): 195\u2013207. DOI: https:\/\/doi.org\/10.1080\/17513470903185626.","journal-title":"Journal of Mathematics and the Arts"},{"key":"2874_CR19","doi-asserted-by":"publisher","first-page":"653","DOI":"10.1016\/j.amc.2018.09.052","volume":"347","author":"P C Ouyang","year":"2019","unstructured":"Ouyang P C, Fathauer R W, Chung K W, Wang X. Automatic generation of hyperbolic drawings. Applied Mathematics and Computation, 2019, 347:653\u2013663. DOI: https:\/\/doi.org\/10.1016\/j.amc.2018.09.052.","journal-title":"Applied Mathematics and Computation"},{"issue":"2","key":"2874_CR20","doi-asserted-by":"publisher","first-page":"#R12","DOI":"10.37236\/78","volume":"16","author":"M von Gagern","year":"2009","unstructured":"von Gagern M, Richter-Gebert J. Hyperbolization of Euclidean ornaments. The Electronic Journal of Combinatorics, 2009, 16(2): #R12. DOI: 10.37236\/78.","journal-title":"The Electronic Journal of Combinatorics"},{"issue":"3\/4","key":"2874_CR21","doi-asserted-by":"publisher","first-page":"263","DOI":"10.2307\/1575848","volume":"25","author":"R Dixon","year":"1992","unstructured":"Dixon R. Two conformal mappings. Leonardo, 1992, 25(3\/4): 263\u2013266. DOI: https:\/\/doi.org\/10.2307\/1575848.","journal-title":"Leonardo"},{"issue":"2","key":"2874_CR22","doi-asserted-by":"publisher","first-page":"25","DOI":"10.5642\/jhummath.201402.04","volume":"4","author":"J Marcotte","year":"2014","unstructured":"Marcotte J, Salomone M. Loxodromic spirals in M. C. Escher\u2019s Sphere Surface. Journal of Humanistic Mathematics, 2014, 4(2): 25\u201346. DOI: https:\/\/doi.org\/10.5642\/jhummath.201402.04.","journal-title":"Journal of Humanistic Mathematics"},{"key":"2874_CR23","first-page":"15","volume-title":"Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture","author":"R Fathauer","year":"2018","unstructured":"Fathauer R. Art and recreational math based on kitetiling rosettes. In Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture, Torrence E, Torrence B, S\u00e9quin C, Fenyvesi K (eds.), Tessellations Publishing, 2018, pp.15\u201322."},{"key":"2874_CR24","volume-title":"Tessellations: Mathematics, Art, and Recreation","author":"R Fathauer","year":"2021","unstructured":"Fathauer R. Tessellations: Mathematics, Art, and Recreation. CRC Press, 2021."}],"container-title":["Journal of Computer Science and Technology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11390-024-2874-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11390-024-2874-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11390-024-2874-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,16]],"date-time":"2025-01-16T05:22:04Z","timestamp":1737004924000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11390-024-2874-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,11]]},"references-count":24,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2024,11]]}},"alternative-id":["2874"],"URL":"https:\/\/doi.org\/10.1007\/s11390-024-2874-5","relation":{},"ISSN":["1000-9000","1860-4749"],"issn-type":[{"value":"1000-9000","type":"print"},{"value":"1860-4749","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,11]]},"assertion":[{"value":"19 November 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 August 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 January 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"Conflict of Interest The authors declare that they have no conflict of interest.","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethics"}}]}}