{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T17:12:00Z","timestamp":1760202720345,"version":"3.40.3"},"publisher-location":"Cham","reference-count":18,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319537320"},{"type":"electronic","value":"9783319537337"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-53733-7_11","type":"book-chapter","created":{"date-parts":[[2017,2,15]],"date-time":"2017-02-15T05:39:21Z","timestamp":1487137161000},"page":"155-167","source":"Crossref","is-referenced-by-count":11,"title":["Two-Dimensional Palindromes and Their Properties"],"prefix":"10.1007","author":[{"given":"Manasi S.","family":"Kulkarni","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kalpana","family":"Mahalingam","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,2,16]]},"reference":[{"issue":"1","key":"11_CR1","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1137\/S0097539795298321","volume":"27","author":"A Amir","year":"1998","unstructured":"Amir, A., Benson, G.: Two-dimensional periodicity in rectangular arrays. SIAM J. Comput. 27(1), 90\u2013106 (1998)","journal-title":"SIAM J. Comput."},{"issue":"2","key":"11_CR2","first-page":"121","volume":"6","author":"V Berth\u00e9","year":"2001","unstructured":"Berth\u00e9, V., Vuillon, L.: Palindromes and two-dimensional Sturmian sequences. J. Automata Lang. Comb. 6(2), 121\u2013138 (2001)","journal-title":"J. Automata Lang. Comb."},{"key":"11_CR3","doi-asserted-by":"crossref","unstructured":"De Natale, F.G.B., Giusto, D.D., Maccioni, F.: A symmetry-based approach to facial features extraction. In: Proceedings of 13th International Conference on Digital Signal Processing, vol. 2, pp. 521\u2013525 (1997)","DOI":"10.1109\/ICDSP.1997.628390"},{"key":"11_CR4","unstructured":"Geizhals, S., Sokol, D.: Finding maximal 2-dimensional palindromes. In: Grossi, R., Lewenstein, M. (eds.) 27th Annual Symposium on Combinatorial Pattern Matching (CPM 2016), vol. 54, pp. 19:1\u201319:12 (2016)"},{"key":"11_CR5","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1007\/978-3-642-59126-6_4","volume-title":"Handbook of Formal Languages","author":"D Giammarresi","year":"1997","unstructured":"Giammarresi, D., Restivo, A.: Two-dimensional languages. In: Rozenberg, G., Salomaa, A. (eds.) Handbook of Formal Languages, pp. 215\u2013267. Springer, Heidelberg (1997)"},{"key":"11_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"665","DOI":"10.1007\/978-3-642-24785-9_56","volume-title":"Scale Space and Variational Methods in Computer Vision","author":"A Hooda","year":"2012","unstructured":"Hooda, A., Bronstein, M.M., Bronstein, A.M., Horaud, R.P.: Shape palindromes: analysis of intrinsic symmetries in 2D articulated shapes. In: Bruckstein, A.M., Haar Romeny, B.M., Bronstein, A.M., Bronstein, M.M. (eds.) SSVM 2011. LNCS, vol. 6667, pp. 665\u2013676. Springer, Heidelberg (2012). doi: 10.1007\/978-3-642-24785-9_56"},{"key":"11_CR7","volume-title":"Formal Languages and Their Relation to Automata","author":"JE Hopcroft","year":"1969","unstructured":"Hopcroft, J.E., Ullman, J.D.: Formal Languages and Their Relation to Automata. Addison-Wesley Longman Inc., Boston (1969)"},{"issue":"1","key":"11_CR8","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1023\/A:1008034529558","volume":"29","author":"N Kiryati","year":"1998","unstructured":"Kiryati, N., Gofman, Y.: Detecting symmetry in grey level images: the global optimization approach. Int. J. Comput. Vision 29(1), 29\u201345 (1998)","journal-title":"Int. J. Comput. Vision"},{"key":"11_CR9","unstructured":"Kulkarni, M.S., Mahalingam, K.: Two-dimensional primitive words. Manuscript (in preparation)"},{"key":"11_CR10","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511566097","volume-title":"Combinatorics on Words","author":"M Lothaire","year":"1997","unstructured":"Lothaire, M.: Combinatorics on Words. Cambridge University Press, Cambridge (1997)"},{"key":"11_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"508","DOI":"10.1007\/11744047_39","volume-title":"Computer Vision \u2013 ECCV 2006","author":"G Loy","year":"2006","unstructured":"Loy, G., Eklundh, J.-O.: Detecting symmetry and symmetric constellations of features. In: Leonardis, A., Bischof, H., Pinz, A. (eds.) ECCV 2006. LNCS, vol. 3952, pp. 508\u2013521. Springer, Heidelberg (2006). doi: 10.1007\/11744047_39"},{"issue":"4","key":"11_CR12","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1307\/mmj\/1028998766","volume":"9","author":"RC Lyndon","year":"1962","unstructured":"Lyndon, R.C., Sch\u00fctzenberger, M.P.: The equation $$a^m= b^n c^p$$ in a free group. Mich. Math. J. 9(4), 289\u2013298 (1962)","journal-title":"Mich. Math. J."},{"key":"11_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"112","DOI":"10.1007\/978-3-540-75414-5_7","volume-title":"Algebraic Informatics","author":"O Matz","year":"2007","unstructured":"Matz, O.: Recognizable vs. regular picture languages. In: Bozapalidis, S., Rahonis, G. (eds.) CAI 2007. LNCS, vol. 4728, pp. 112\u2013121. Springer, Heidelberg (2007). doi: 10.1007\/978-3-540-75414-5_7"},{"key":"11_CR14","doi-asserted-by":"crossref","unstructured":"O\u2019Mara, D., Owens, R.: Measuring bilateral symmetry in digital images. In: Proceedings of 1996 IEEE TENCON Digital Signal Processing Applications, vol. 1, pp. 151\u2013156 (1996)","DOI":"10.1109\/TENCON.1996.608740"},{"key":"11_CR15","volume-title":"The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures Across Dimensions","author":"CA Pickover","year":"2002","unstructured":"Pickover, C.A.: The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures Across Dimensions. Princeton University Press, Princeton (2002)"},{"key":"11_CR16","doi-asserted-by":"crossref","unstructured":"Raviv, D., Bronstein, A.M., Bronstein, M.M., Kimmel, R.: Symmetries of non-rigid shapes. In: 2007 IEEE 11th International Conference on Computer Vision. pp. 1\u20137 (2007)","DOI":"10.1109\/ICCV.2007.4409181"},{"key":"11_CR17","volume-title":"Languages and Codes","author":"SS Yu","year":"2005","unstructured":"Yu, S.S.: Languages and Codes. Tsang Hai Book Publishing Co., Taichung (2005)"},{"issue":"4","key":"11_CR18","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1080\/00207160008804994","volume":"75","author":"SS Yu","year":"2000","unstructured":"Yu, S.S.: Palindrome words and reverse closed languages. Int. J. Comput. Math. 75(4), 389\u2013402 (2000)","journal-title":"Int. J. Comput. Math."}],"container-title":["Lecture Notes in Computer Science","Language and Automata Theory and Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-53733-7_11","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,25]],"date-time":"2017-06-25T06:35:54Z","timestamp":1498372554000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-53733-7_11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319537320","9783319537337"],"references-count":18,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-53733-7_11","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]}}}