{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,17]],"date-time":"2025-11-17T02:49:06Z","timestamp":1763347746712},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2011,2,1]],"date-time":"2011-02-01T00:00:00Z","timestamp":1296518400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Math Imaging Vis"],"published-print":{"date-parts":[[2011,7]]},"DOI":"10.1007\/s10851-011-0261-7","type":"journal-article","created":{"date-parts":[[2011,1,31]],"date-time":"2011-01-31T12:59:41Z","timestamp":1296478781000},"page":"259-268","source":"Crossref","is-referenced-by-count":29,"title":["On the Occurrence Probability of Local Binary Patterns: A\u00a0Theoretical Study"],"prefix":"10.1007","volume":"40","author":[{"given":"Francesco","family":"Bianconi","sequence":"first","affiliation":[]},{"given":"Antonio","family":"Fern\u00e1ndez","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,2,1]]},"reference":[{"key":"261_CR1","doi-asserted-by":"crossref","first-page":"2037","DOI":"10.1109\/TPAMI.2006.244","volume":"28","author":"T. Ahonen","year":"2006","unstructured":"Ahonen, T., Hadid, A., Pietik\u00e4inen, M.: Face description with local binary patterns: Application to face recognition. IEEE Trans. Pattern Anal. Mach. Intell. 28, 2037\u20132041 (2006)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"261_CR2","volume-title":"Information Theory","author":"R.B. Ash","year":"1965","unstructured":"Ash, R.B.: Information Theory. Dover, New York (1965)"},{"key":"261_CR3","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/BF02293050","volume":"8","author":"D. Avis","year":"1992","unstructured":"Avis, D., Fukuda, K.: A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra. Discrete Comput. Geom. 8, 295\u2013313 (1992)","journal-title":"Discrete Comput. Geom."},{"key":"261_CR4","doi-asserted-by":"crossref","first-page":"769","DOI":"10.1287\/moor.19.4.769","volume":"19","author":"A.I. Barvinok","year":"1994","unstructured":"Barvinok, A.I.: Polynomial time algorithm for counting integral points in polyhedra when the dimension is fixed. Math. Oper. Res. 19, 769\u2013779 (1994)","journal-title":"Math. Oper. Res."},{"key":"261_CR5","volume-title":"Computing the Continuous Discretely. Integer-Point Enumeration in Polyhedra","author":"M. Beck","year":"2007","unstructured":"Beck, M., Robins, S.: Computing the Continuous Discretely. Integer-Point Enumeration in Polyhedra. Springer, Berlin (2007)"},{"key":"261_CR6","first-page":"432","volume-title":"Handbook of Image and Video Processing","author":"A.C. Bovik","year":"2005","unstructured":"Bovik, A.C.: Handbook of Image and Video Processing, 2nd edn., p.\u00a0432. Elsevier, Amsterdam (2005)","edition":"2"},{"key":"261_CR7","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1023\/A:1008069920230","volume":"19","author":"P. Clauss","year":"1998","unstructured":"Clauss, P., Loechner, V.: Parametric analysis of polyhedral iteration spaces. J. VLSI Signal Process. 19, 179\u2013194 (1998)","journal-title":"J. VLSI Signal Process."},{"key":"261_CR8","doi-asserted-by":"crossref","first-page":"503","DOI":"10.2307\/2951842","volume":"145","author":"R. Diaz","year":"1997","unstructured":"Diaz, R., Robins, S.: The Ehrhart plynomial of a lattice polytope. Ann. Math. 145, 503\u2013518 (1997)","journal-title":"Ann. Math."},{"key":"261_CR9","doi-asserted-by":"crossref","unstructured":"Fern\u00e1ndez, A., Ghita, O., Gonz\u00e1lez, E., Bianconi, F., Whelan, P.F.: Evaluation of robustness against rotation of LBP, CCR and ILBP features in granite texture classification. Mach. Vis. Appl. (2010). doi: 10.1007\/s00138-010-0253-4","DOI":"10.1007\/s00138-010-0253-4"},{"key":"261_CR10","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1007\/978-3-0348-8438-9_2","volume-title":"Polytopes\u2014Combinatorics and Computation","author":"E. Gawrilow","year":"2000","unstructured":"Gawrilow, E., Joswig, M.: Polymake: a framework for analyzing convex polytopes. In: Kalai, G., Ziegler, G.M. (eds.) Polytopes\u2014Combinatorics and Computation, pp. 43\u201374. Birkh\u00e4user, Basel (2000)"},{"key":"261_CR11","first-page":"509","volume":"26","author":"J. Guoxing","year":"2009","unstructured":"Guoxing, J., Yanfang, C.: An LBP-based multi-scale illumination preprocessing method for face recognition. J. Electron. 26, 509\u2013516 (2009)","journal-title":"J. Electron."},{"key":"261_CR12","first-page":"2009","volume":"56","author":"S. He","year":"1864\u20131870","unstructured":"He, S., Soraghan, J.J., OReilly, B.F., Xing, D.: Quantitative analysis of facial paralysis using local binary patterns in biomedical videos. IEEE Trans. Biomed. Eng. 56, 2009 (1864\u20131870)","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"261_CR13","doi-asserted-by":"crossref","first-page":"657","DOI":"10.1109\/TPAMI.2006.68","volume":"28","author":"M. Heikkil\u00e4","year":"2006","unstructured":"Heikkil\u00e4, M., Pietik\u00e4inen, M.: A texture-based method for modeling the background and detecting moving objects. IEEE Trans. Pattern Anal. Mach. Intell. 28, 657\u2013662 (2006)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"261_CR14","first-page":"306","volume-title":"Proceedings of the 3rd International Conference on Image and Graphics","author":"H. Jin","year":"2004","unstructured":"Jin, H., Liu, Q., Tong, X.: Face detection using improved LBP under Bayesian framework. In: Proceedings of the 3rd International Conference on Image and Graphics, pp. 306\u2013309 (2004)"},{"key":"261_CR15","doi-asserted-by":"crossref","first-page":"1107","DOI":"10.1109\/TIP.2009.2015682","volume":"18","author":"S. Liao","year":"2009","unstructured":"Liao, S., Law, M.W.K., Chung, A.C.S.: Dominant Local Binary Patterns for texture classification. IEEE Trans. Image Process. 18, 1107\u20131118 (2009)","journal-title":"IEEE Trans. Image Process."},{"key":"261_CR16","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1007\/s00591-005-0094-9","volume":"52","author":"J.A. Loera De","year":"2005","unstructured":"De Loera, J.A.: The many aspects of counting lattice points in polytopes. Math. Semesterber. 52, 175\u2013195 (2005)","journal-title":"Math. Semesterber."},{"key":"261_CR17","doi-asserted-by":"crossref","first-page":"1273","DOI":"10.1016\/j.jsc.2003.04.003","volume":"38","author":"J.A. Loera De","year":"2004","unstructured":"De Loera, J.A., Hemmeckeb, R., Tauzera, J., Yoshida, R.: Effective lattice point counting in rational convex polytopes. J. Symb. Comput. 38, 1273\u20131302 (2004)","journal-title":"J. Symb. Comput."},{"key":"261_CR18","doi-asserted-by":"crossref","first-page":"2917","DOI":"10.1080\/01431160500057723","volume":"26","author":"A. Lucieer","year":"2005","unstructured":"Lucieer, A., Stein, A., Fisher, P.: Multivariate texture-based segmentation of remotely sensed imagery for extraction of objects and their uncertainty. Int. J. Remote Sens. 26, 2917\u20132936 (2005)","journal-title":"Int. J. Remote Sens."},{"key":"261_CR19","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1142\/9789812775320_0011","volume-title":"Handbook of Pattern Recognition and Computer Vision","author":"T. M\u00e4enp\u00e4\u00e4","year":"2005","unstructured":"M\u00e4enp\u00e4\u00e4, T., Pietik\u00e4inen, M.: Texture analysis with Local Binary Patterns. In: Chen, C.H., Pau, L.F., Wang, P.S.P. (eds.) Handbook of Pattern Recognition and Computer Vision, 2nd edn., pp. 197\u2013216. World Scientific, Singapore (2005)","edition":"2"},{"key":"261_CR20","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1016\/S1077-2014(03)00041-X","volume":"9","author":"T. M\u00e4enp\u00e4\u00e4","year":"2003","unstructured":"M\u00e4enp\u00e4\u00e4, T., Turtinen, T., Pietik\u00e4inen, M.: Real-time surface inspection by texture. Real-Time Imaging 9, 289\u2013296 (2003)","journal-title":"Real-Time Imaging"},{"key":"261_CR21","volume-title":"Proceedings of the International Conference on Pattern Recognition","author":"T. M\u00e4enp\u00e4\u00e4","year":"2000","unstructured":"M\u00e4enp\u00e4\u00e4, T., Ojala, T., Pietik\u00e4inen, M., Maricor, S.: Robust Texture Classification by Subsets of Local Binary Patterns. In: Proceedings of the International Conference on Pattern Recognition, Barcelona (Spain), September 2000 (2000)"},{"key":"261_CR22","doi-asserted-by":"crossref","DOI":"10.1515\/9781400881970-004","volume-title":"The Double Description Method","author":"T.S. Motzkin","year":"1953","unstructured":"Motzkin, T.S., Raifa, H., Thompson, G.L., Thrall, R.M.: The Double Description Method, vol.\u00a02. Princeton University Press, Princeton (1953)"},{"key":"261_CR23","doi-asserted-by":"crossref","first-page":"3461","DOI":"10.1016\/j.patcog.2008.05.013","volume":"41","author":"L. Nanni","year":"2008","unstructured":"Nanni, L., Lumini, A.: Local binary patterns for a hybrid fingerprint matcher. Pattern Recognit. 41, 3461\u20133466 (2008)","journal-title":"Pattern Recognit."},{"issue":"2","key":"261_CR24","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1016\/j.artmed.2010.02.006","volume":"49","author":"L. Nanni","year":"2010","unstructured":"Nanni, L., Lumini, A., Brahnam, S.: Local binary patterns variants as texture descriptors for medical image analysis. Artif. Intell. Med. 49(2), 117\u2013125 (2010)","journal-title":"Artif. Intell. Med."},{"key":"261_CR25","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/0031-3203(95)00067-4","volume":"29","author":"T. Ojala","year":"1996","unstructured":"Ojala, T., Pietik\u00e4inen, M., Harwood, D.: A comparative study of texture measures with classification based on feature distributions. Pattern Recognit. 29, 51\u201359 (1996)","journal-title":"Pattern Recognit."},{"key":"261_CR26","doi-asserted-by":"crossref","first-page":"971","DOI":"10.1109\/TPAMI.2002.1017623","volume":"24","author":"T. Ojala","year":"2002","unstructured":"Ojala, T., Pietik\u00e4inen, M., M\u00e4enp\u00e4\u00e4, T.: Multiresolution gray-scale and rotation invariant texture classification with Local Binary Patterns. IEEE Trans. Pattern Anal. Mach. Intell. 24, 971\u2013987 (2002)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"261_CR27","volume-title":"Image Processing. Dealing with Texture","author":"M. Petrou","year":"1982","unstructured":"Petrou, M., Garc\u00eda Sevilla, P.: Image Processing. Dealing with Texture. Wiley-Interscience, New York (1982)"},{"key":"261_CR28","volume-title":"Digital Picture Processing","author":"A. Rosenfeld","year":"1982","unstructured":"Rosenfeld, A., Kak, A.C.: Digital Picture Processing. Academic Press, San Diego (1982)"},{"key":"261_CR29","doi-asserted-by":"crossref","first-page":"803","DOI":"10.1016\/j.imavis.2008.08.005","volume":"27","author":"C. Shan","year":"2009","unstructured":"Shan, C., Gong, S., McOwan, P.W.: Facial expression recognition based on local binary patterns: A comprehensive study. Image Vis. Comput. 27, 803\u2013816 (2009)","journal-title":"Image Vis. Comput."},{"key":"261_CR30","doi-asserted-by":"crossref","first-page":"1864","DOI":"10.1109\/TIT.2004.828152","volume":"50","author":"N. Shulman","year":"2004","unstructured":"Shulman, N., Feder, M.: The Uniform Distribution as a Universal Prior. IEEE Trans. Inf. Theory 50, 1864\u20131870 (2004)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"261_CR31","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1109\/TMI.2009.2038575","volume":"29","author":"L. S\u00f8rensen","year":"2010","unstructured":"S\u00f8rensen, L., Shaker, S.B., De Bruijne, M.: Quantitative analysis of pulmonary emphysema using local binary patterns. IEEE Trans. Med. Imaging 29, 559\u2013569 (2010)","journal-title":"IEEE Trans. Med. Imaging"},{"key":"261_CR32","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511805967","volume-title":"Enumerative Combinatorics","author":"R.P. Stanley","year":"1997","unstructured":"Stanley, R.P.: Enumerative Combinatorics, vol.\u00a01. Cambridge University Press, Cambridge (1997)"},{"key":"261_CR33","author":"F. Tajeripour","year":"2008","unstructured":"Tajeripour, F., Kabir, E., Sheikhi, A.: Fabric defect detection using modified local binary patterns. EURASIP J. Adv. Signal Process. (2008). doi: 10.1155\/2008\/783898","journal-title":"EURASIP J. Adv. Signal Process."},{"key":"261_CR34","volume-title":"Proceedings of the Seventh IEEE International Workshop on Visual Surveillance","author":"V. Takala","year":"2007","unstructured":"Takala, V., Pietik\u00e4inen, M.: Multi-object tracking using color, texture and motion. In: Proceedings of the Seventh IEEE International Workshop on Visual Surveillance, Chicago, (USA), June 2007 (2007)"},{"key":"261_CR35","volume-title":"The Handbook of Pattern Recognition and Computer Vision","author":"M. Tuceryan","year":"1998","unstructured":"Tuceryan, M., Jain, A.K.: Texture analysis. In: The Handbook of Pattern Recognition and Computer Vision, 2nd edn. World Scientific, Singapore (1998)","edition":"2"},{"key":"261_CR36","unstructured":"van Herick, A.W.: Theoretical and computational methods for lattice point enumeration in inside-out polytopes. Master Thesis, San Francisco State University, San Francisco (USA), August 2007"},{"key":"261_CR37","doi-asserted-by":"crossref","first-page":"971","DOI":"10.1109\/TPAMI.2008.182","volume":"31","author":"M. Varma","year":"2009","unstructured":"Varma, M., Zisserman, A.: A statistical approach to material classification using image patch exemplars. IEEE Trans. Pattern Anal. Mach. Intell. 31, 971\u2013987 (2009)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"261_CR38","unstructured":"Verdoolaege, S.: Barvinok: User Guide. Version: 0.30, March 2010. Available at http:\/\/freshmeat.net\/projects\/barvinok\/"},{"key":"261_CR39","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1142\/9781848161160_0013","volume-title":"Handbook of Texture Analysis","author":"X. Xie","year":"2008","unstructured":"Xie, X., Mirmehdi, M.: A galaxy of texture features. In: Mirmehdi, M., Xie, X., Suri, J. (eds.) Handbook of Texture Analysis, pp. 375\u2013406. Imperial College Press, London (2008)"}],"container-title":["Journal of Mathematical Imaging and Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-011-0261-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10851-011-0261-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-011-0261-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,8]],"date-time":"2019-06-08T03:03:23Z","timestamp":1559963003000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10851-011-0261-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,2,1]]},"references-count":39,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2011,7]]}},"alternative-id":["261"],"URL":"https:\/\/doi.org\/10.1007\/s10851-011-0261-7","relation":{},"ISSN":["0924-9907","1573-7683"],"issn-type":[{"value":"0924-9907","type":"print"},{"value":"1573-7683","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,2,1]]}}}