{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,20]],"date-time":"2025-05-20T04:02:58Z","timestamp":1747713778833,"version":"3.40.5"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2015,2,14]],"date-time":"2015-02-14T00:00:00Z","timestamp":1423872000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["AAECC"],"published-print":{"date-parts":[[2015,3]]},"DOI":"10.1007\/s00200-014-0246-z","type":"journal-article","created":{"date-parts":[[2015,2,17]],"date-time":"2015-02-17T10:15:48Z","timestamp":1424168148000},"page":"49-71","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Membrane parallelism for discrete Morse theory applied to digital images"],"prefix":"10.1007","volume":"26","author":[{"given":"Ra\u00fal","family":"Reina-Molina","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daniel","family":"D\u00edaz-Pernil","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pedro","family":"Real","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ainhoa","family":"Berciano","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,2,14]]},"reference":[{"issue":"2","key":"246_CR1","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1007\/s00454-011-9350-z","volume":"47","author":"U Bauer","year":"2012","unstructured":"Bauer, U., Lange, C., Wardetzky, M.: Optimal topological simplification of discrete functions on surfaces. Discrete Comput. Geom. 47(2), 347\u2013377 (2012)","journal-title":"Discrete Comput. Geom."},{"issue":"1\u20132","key":"246_CR2","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1007\/s00200-012-0169-5","volume":"23","author":"A Berciano","year":"2012","unstructured":"Berciano, A., Molina-Abril, H., Real, P.: Searching high order invariants in computer imagery. Appl. Algebra Eng. Commun. Comput. 23(1\u20132), 17\u201328 (2012)","journal-title":"Appl. Algebra Eng. Commun. Comput."},{"key":"246_CR3","unstructured":"Carnero, J., D\u00edaz-Pernil, D., Guti\u00e9rrez-Naranjo, M.A.: Designing tissue-like P systems for image segmentation on parallel architectures. In: del Amor, M.A.M., P\u0103un, Gh., de Mendoza, I.P.H., Romero-Campero, F.J., Cabrera, L.V. (eds.) Ninth Brainstorming Week on Membrane Computing, pp. 43\u201362. F\u00e9nix Editora, Sevilla, Spain (2011)"},{"key":"246_CR4","doi-asserted-by":"crossref","unstructured":"Christinal, H.A., D\u00edaz-Pernil, D., Real, P.: Segmentation in 2D and 3D image using tissue-like P system. In: Bayro-Corrochano, E., Eklundh, J.O. (eds.) Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications, Lecture Notes in Computer Science, vol. 5856, pp. 169\u2013176 (2009)","DOI":"10.1007\/978-3-642-10268-4_20"},{"issue":"16","key":"246_CR5","doi-asserted-by":"crossref","first-page":"2206","DOI":"10.1016\/j.patrec.2011.05.004","volume":"32","author":"HA Christinal","year":"2011","unstructured":"Christinal, H.A., D\u00edaz-Pernil, D., Real, P.: Region-based segmentation of 2D and 3D images with tissue-like P systems. Pattern Recogn. Lett. 32(16), 2206\u20132212 (2011)","journal-title":"Pattern Recogn. Lett."},{"issue":"11\u201312","key":"246_CR6","doi-asserted-by":"crossref","first-page":"1982","DOI":"10.1016\/j.mcm.2010.06.001","volume":"52","author":"HA Christinal","year":"2010","unstructured":"Christinal, H.A., D\u00edaz-Pernil, D., Real, P.: P systems and computational algebraic topology. Math. Comput. Model. 52(11\u201312), 1982\u20131996 (2010)","journal-title":"Math. Comput. Model."},{"key":"246_CR7","doi-asserted-by":"crossref","unstructured":"Cazals, F., Chazal, F., Lewiner, T.: In: Proceedings of the Nineteenth Annual Symposium on Computational Geometry, pp. 351\u2013360. ACM (2003)","DOI":"10.1145\/777792.777845"},{"issue":"5\u20136","key":"246_CR8","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1007\/s00200-012-0176-6","volume":"23","author":"D D\u00edaz-Pernil","year":"2012","unstructured":"D\u00edaz-Pernil, D., Christinal, H.A., Guti\u00e9rrez-Naranjo, M.A., Real, P.: Using membrane computing for effective homology. Appl. Algebra Eng. Commun. Comput. 23(5\u20136), 233\u2013249 (2012)","journal-title":"Appl. Algebra Eng. Commun. Comput."},{"issue":"3","key":"246_CR9","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1007\/s11047-011-9287-4","volume":"11","author":"D D\u00edaz-Pernil","year":"2012","unstructured":"D\u00edaz-Pernil, D., Guti\u00e9rrez-Naranjo, M.A., Molina-Abril, H., Real, P.: Designing a new software tool for digital imagery based on P systems. Nat. Comput. 11(3), 381\u2013386 (2012)","journal-title":"Nat. Comput."},{"issue":"2","key":"246_CR10","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/j.entcs.2007.05.009","volume":"171","author":"D D\u00edaz-Pernil","year":"2007","unstructured":"D\u00edaz-Pernil, D., Guti\u00e9rrez-Naranjo, M.A., P\u00e9rez-Jim\u00e9nez, M.J., Riscos-N\u00fa\u00f1ez, A.: A linear-time tissue P system based solution for the 3-coloring problem. Electr. Notes Theor. Comput. Sci. 171(2), 81\u201393 (2007)","journal-title":"Electr. Notes Theor. Comput. Sci."},{"key":"246_CR11","doi-asserted-by":"crossref","unstructured":"D\u00edaz-Pernil, D., Guti\u00e9rrez-Naranjo, M.A., P\u00e9rez-Jim\u00e9nez, M.J., Riscos-N\u00fa\u00f1ez, A.: Solving subset sum in linear time by using tissue P systems with cell division. In: Mira, J., \u00c1lvarez, J.R. (eds.) IWINAC (1). Lecture Notes in Computer Science, vol. 4527, pp. 170\u2013179 (2007)","DOI":"10.1007\/978-3-540-73053-8_17"},{"issue":"2","key":"246_CR12","first-page":"141","volume":"13","author":"D D\u00edaz-Pernil","year":"2010","unstructured":"D\u00edaz-Pernil, D., Guti\u00e9rrez-Naranjo, M.A., Real, P., S\u00e1nchez-Canales, V.: Computing homology groups in binary 2D imagery by tissue-like P systems. Roman. J. Inf. Sci. Technol. 13(2), 141\u2013152 (2010)","journal-title":"Roman. J. Inf. Sci. Technol."},{"key":"246_CR13","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1006\/aima.1997.1650","volume":"134","author":"R Forman","year":"1998","unstructured":"Forman, R.: Morse theory for cell complexes. Adv. Math. 134, 90\u2013145 (1998)","journal-title":"Adv. Math."},{"key":"246_CR14","doi-asserted-by":"crossref","unstructured":"Gunther, D., Reininghaus, J., Hotz, I., Wagner, H.: Memory-efficient computation of persistent homology for 3D images using discrete morse theory. In: 2011 24th SIBGRAPI Conference on Graphics, Patterns and Images (Sibgrapi), pp. 25\u201332 (2011)","DOI":"10.1109\/SIBGRAPI.2011.24"},{"issue":"6","key":"246_CR15","doi-asserted-by":"crossref","first-page":"1619","DOI":"10.1109\/TVCG.2008.110","volume":"14","author":"A Gyulassy","year":"2008","unstructured":"Gyulassy, A., Bremer, P.T., Hamann, B., Pascucci, V.: A practical approach to Morse\u2013Smale complex computation: scalability and generality. IEEE Trans. Vis. Comput. Graph. 14(6), 1619\u20131626 (2008)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"246_CR16","doi-asserted-by":"crossref","unstructured":"Kaczy\u0144ski, T., Mischaikow, K., Mrozek, M.: Computational homology. Applied Mathematical Sciences. Springer, Berlin (2004)","DOI":"10.1007\/b97315"},{"issue":"5","key":"246_CR17","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1109\/TVCG.2004.18","volume":"10","author":"T Lewiner","year":"2004","unstructured":"Lewiner, T., Lopes, H., Tavares, G.: Applications of Forman\u2019s discrete Morse theory to topology visualization and mesh compression. IEEE Trans. Vis. Comput. Graph. 10(5), 499\u2013508 (2004)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"246_CR18","doi-asserted-by":"crossref","unstructured":"Mart\u00edn-Vide, C., Pazos, J., P\u0103un, Gh., Rodr\u00edguez-Pat\u00f3n, A.: A new class of symbolic abstract neural nets: tissue P systems. In: Ibarra, O.H., Zhang, L. (eds.) COCOON. Lecture Notes in Computer Science, vol. 2387, pp. 290\u2013299 (2002)","DOI":"10.1007\/3-540-45655-4_32"},{"key":"246_CR19","unstructured":"Mart\u00edn-Vide, C., P\u0103un, Gh., Pazos, J., Rodr\u00edguez-Pat\u00f3n, A.: Tissue P systems. Theoret. Comput. Sci. 296(2), 295\u2013326 (2003)"},{"issue":"11","key":"246_CR20","doi-asserted-by":"crossref","first-page":"1501","DOI":"10.1016\/j.patrec.2012.01.014","volume":"33","author":"H Molina-Abril","year":"2012","unstructured":"Molina-Abril, H., Real, P.: Homological optimality in discrete Morse theory through chain homotopies. Pattern Recogn. Lett. 33(11), 1501\u20131506 (2012)","journal-title":"Pattern Recogn. Lett."},{"issue":"4","key":"246_CR21","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1007\/s10472-012-9297-7","volume":"64","author":"H Molina-Abril","year":"2012","unstructured":"Molina-Abril, H., Real, P.: Homological spanning forest framework for 2D image analysis. Ann. Math. Artif. Intell. 64(4), 385\u2013409 (2012)","journal-title":"Ann. Math. Artif. Intell."},{"issue":"3","key":"246_CR22","first-page":"965","volume":"31","author":"S Nithin","year":"2012","unstructured":"Nithin, S., Vijay, N.: Parallel computation of 3D Morse\u2013Smale complexes. Comput. Graph. Forum 31(3), 965\u2013974 (2012)","journal-title":"Comput. Graph. Forum"},{"key":"246_CR23","doi-asserted-by":"crossref","unstructured":"Pe\u00f1a-Cantillana, F., D\u00edaz-Pernil, D., Berciano, A., Guti\u00e9rrez-Naranjo, M.A.: A parallel implementation of the thresholding problem by using tissue-like P systems. In: Real, P., D\u00edaz-Pernil, D., Molina-Abril, H., Berciano, A., Kropatsch, W.G. (eds.) CAIP (2). Lecture Notes in Computer Science, vol. 6855, pp. 277\u2013284 (2011)","DOI":"10.1007\/978-3-642-23678-5_32"},{"issue":"3","key":"246_CR24","doi-asserted-by":"crossref","first-page":"25","DOI":"10.4018\/jncr.2011070103","volume":"2","author":"F Pe\u00f1a-Cantillana","year":"2011","unstructured":"Pe\u00f1a-Cantillana, F., D\u00edaz-Pernil, D., Christinal, H.A., Guti\u00e9rrez-Naranjo, M.A.: Implementation on CUDA of the smoothing problem with tissue-like P systems. Int. J. Nat. Comput. Res. 2(3), 25\u201334 (2011)","journal-title":"Int. J. Nat. Comput. Res."},{"key":"246_CR25","unstructured":"P\u0103un, A., P\u0103un, Gh.: The power of communication: P systems with symport\/antiport. New Gener. Comput. 20(3), 295\u2013306 (2002)"},{"issue":"2","key":"246_CR26","doi-asserted-by":"crossref","first-page":"238","DOI":"10.15837\/ijccc.2010.2.2478","volume":"5","author":"G P\u0103un","year":"2010","unstructured":"P\u0103un, G., P\u00e9rez-Jim\u00e9nez, M.J.: Solving problems in a distributed way in membrane computing: dP systems. Int. J. Comput. Commun. Control 5(2), 238\u2013252 (2010)","journal-title":"Int. J. Comput. Commun. Control"},{"key":"246_CR27","doi-asserted-by":"crossref","unstructured":"Peterka, T., Ross, R., Gyulassy, A., Pascucci, V., Kendall, W., Shen, H.-W., Lee, T.-Y., Chaudhuri, A.: Scalable parallel building blocks for custom data analysis. 2011 IEEE Symposium on Large Data Analysis and Visualization (LDAV), pp. 105\u2013112 (2011)","DOI":"10.1109\/LDAV.2011.6092324"},{"key":"246_CR28","doi-asserted-by":"crossref","first-page":"326","DOI":"10.1007\/978-3-642-03767-2_40","volume":"5702","author":"P Real","year":"2009","unstructured":"Real, P., Molina-Abril, H., Kropatsch, W.: Homological tree-based strategies for image analysis. Comput. Anal. Images Patterns (LNCS) 5702, 326\u2013333 (2009)","journal-title":"Comput. Anal. Images Patterns (LNCS)"},{"key":"246_CR29","doi-asserted-by":"crossref","unstructured":"Reininghaus, J., Hotz, I.: Combinatorial 2d vector field topology extraction and simplification. In: Topological Methods in Data Analysis and Visualization, pp. 103\u2013114. Springer, Berlin, Heidelberg (2011)","DOI":"10.1007\/978-3-642-15014-2_9"},{"issue":"10","key":"246_CR30","doi-asserted-by":"crossref","first-page":"1433","DOI":"10.1109\/TVCG.2010.235","volume":"17","author":"J Reininghaus","year":"2011","unstructured":"Reininghaus, J., Lowen, C., Hotz, I.: Fast combinatorial vector field topology. IEEE Trans. Vis. Comput. Graph. 17(10), 1433\u20131443 (2011)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"issue":"3","key":"246_CR31","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1016\/0734-189X(90)90106-6","volume":"49","author":"GX Ritter","year":"1990","unstructured":"Ritter, G.X., Wilson, J.N., Davidson, J.L.: Image algebra: an overview. Comput. Vis. Graph. Image Process. 49(3), 297\u2013331 (1990)","journal-title":"Comput. Vis. Graph. Image Process."}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-014-0246-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00200-014-0246-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-014-0246-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,19]],"date-time":"2025-05-19T10:47:24Z","timestamp":1747651644000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00200-014-0246-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2,14]]},"references-count":31,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2015,3]]}},"alternative-id":["246"],"URL":"https:\/\/doi.org\/10.1007\/s00200-014-0246-z","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"type":"print","value":"0938-1279"},{"type":"electronic","value":"1432-0622"}],"subject":[],"published":{"date-parts":[[2015,2,14]]}}}