{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,19]],"date-time":"2025-03-19T16:31:32Z","timestamp":1742401892519},"publisher-location":"Berlin, Heidelberg","reference-count":28,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540255475"},{"type":"electronic","value":"9783540320128"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/11408031_28","type":"book-chapter","created":{"date-parts":[[2010,7,13]],"date-time":"2010-07-13T14:04:57Z","timestamp":1279029897000},"page":"327-338","source":"Crossref","is-referenced-by-count":8,"title":["The Stochastic Structure of Images"],"prefix":"10.1007","author":[{"given":"Jan-Mark","family":"Geusebroek","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"28_CR1","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1109\/ICCV.2003.1238326","volume-title":"Proc. 9th Int. Conf. Comput. Vision.","author":"J.M. Geusebroek","year":"2003","unstructured":"Geusebroek, J.M., Smeulders, A.W.M.: Fragmentation in the vision of scenes. In: Proc. 9th Int. Conf. Comput. Vision., vol.\u00a01, pp. 130\u2013135. IEEE Computer Society, Los Alamitos (2003)"},{"key":"28_CR2","doi-asserted-by":"publisher","first-page":"2370","DOI":"10.1364\/JOSAA.4.002379","volume":"4","author":"D.J. Field","year":"1987","unstructured":"Field, D.J.: Relations between the statistics of natural images and the response properties of cortical cells. J. Opt. Soc. Am. A\u00a04, 2370\u20132393 (1987)","journal-title":"J. Opt. Soc. Am. A"},{"key":"28_CR3","doi-asserted-by":"publisher","first-page":"674","DOI":"10.1109\/34.192463","volume":"11","author":"S.G. Mallat","year":"1989","unstructured":"Mallat, S.G.: A theory for multiresolution signal decomposition: The wavelet representation. IEEE Trans. Pattern Anal. Machine Intell.\u00a011, 674\u2013693 (1989)","journal-title":"IEEE Trans. Pattern Anal. Machine Intell."},{"key":"28_CR4","doi-asserted-by":"publisher","first-page":"814","DOI":"10.1103\/PhysRevLett.73.814","volume":"73","author":"D.L. Ruderman","year":"1994","unstructured":"Ruderman, D.L., Bialek, W.: Statistics of natural images: Scaling in the woods. Phys. Rev. Let.\u00a073, 814\u2013817 (1994)","journal-title":"Phys. Rev. Let."},{"key":"28_CR5","doi-asserted-by":"publisher","first-page":"2759","DOI":"10.1016\/0042-6989(96)00002-8","volume":"36","author":"A. Schaaf van der","year":"1996","unstructured":"van der Schaaf, A., van Hateren, J.H.: Modelling the power spectra of natural images: Statistics and information. Vision Res.\u00a036, 2759\u20132770 (1996)","journal-title":"Vision Res."},{"key":"28_CR6","doi-asserted-by":"publisher","first-page":"188","DOI":"10.1117\/12.366779","volume-title":"Proc. SPIE","author":"E.P. Simoncelli","year":"1999","unstructured":"Simoncelli, E.P.: Modeling the joint statistics of images in the wavelet domain. In: Proc. SPIE, vol.\u00a03813, pp. 188\u2013195. SPIE, Bellingham (1999)"},{"key":"28_CR7","doi-asserted-by":"crossref","unstructured":"Sigman, M., Cecchi, G.A., Gilbert, C.D., Magnasco, M.O.: On a common circle: Natural scenes and Gestalt rules. In: Proc. Natl. Acad. Sci. USA, vol.\u00a098, pp. 1935\u20131940 (2001)","DOI":"10.1073\/pnas.98.4.1935"},{"key":"28_CR8","doi-asserted-by":"publisher","first-page":"819","DOI":"10.1038\/90526","volume":"4","author":"O. Schwartz","year":"2001","unstructured":"Schwartz, O., Simoncelli, E.P.: Natural signal statistics and sensory gain control. Nature Neurosci.\u00a04, 819\u2013825 (2001)","journal-title":"Nature Neurosci."},{"key":"28_CR9","doi-asserted-by":"publisher","first-page":"424","DOI":"10.1109\/34.917579","volume":"23","author":"U. Grenander","year":"2001","unstructured":"Grenander, U., Srivastava, A.: Probability models for clutter in natural images. IEEE Trans. Pattern Anal. Machine Intell.\u00a023, 424\u2013429 (2001)","journal-title":"IEEE Trans. Pattern Anal. Machine Intell."},{"key":"28_CR10","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1023\/A:1011109015675","volume":"41","author":"A.B. Lee","year":"2001","unstructured":"Lee, A.B., Mumford, D., Huang, J.: Occlusion models for natural images: A statistical study of a scale-invariant dead leaves model. Int. J. Comput. Vision\u00a041, 35\u201359 (2001)","journal-title":"Int. J. Comput. Vision"},{"key":"28_CR11","doi-asserted-by":"publisher","first-page":"1200","DOI":"10.1109\/TPAMI.2002.1033212","volume":"24","author":"A. Srivastava","year":"2002","unstructured":"Srivastava, A., Liu, X., Grenander, U.: Universal analytical forms for modeling image probabilities. IEEE Trans. Pattern Anal. Machine Intell.\u00a024, 1200\u20131214 (2002)","journal-title":"IEEE Trans. Pattern Anal. Machine Intell."},{"key":"28_CR12","doi-asserted-by":"crossref","unstructured":"Geusebroek, J.M., Smeulders, A.W.M.: A physical explanation for natural image statistics. In: Chantler, M. (ed.) Proceedings of the 2nd International Workshop on Texture Analysis and Synthesis (Texture 2002), Heriot-Watt University, pp. 47\u201352 (2002)","DOI":"10.11120\/msor.2002.02020051"},{"key":"28_CR13","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1023\/A:1021889010444","volume":"18","author":"A. Srivastava","year":"2003","unstructured":"Srivastava, A., Lee, A.B., Simoncelli, E.P., Zhu, S.C.: On advances in statistical modeling of natural images. J. Math. Imaging Vision\u00a018, 17\u201333 (2003)","journal-title":"J. Math. Imaging Vision"},{"key":"28_CR14","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1007\/BF00336961","volume":"50","author":"J.J. Koenderink","year":"1984","unstructured":"Koenderink, J.J.: The structure of images. Biol. Cybern.\u00a050, 363\u2013370 (1984)","journal-title":"Biol. Cybern."},{"key":"28_CR15","doi-asserted-by":"publisher","first-page":"1438","DOI":"10.1103\/PhysRevLett.61.1438","volume":"61","author":"S. Havlin","year":"1988","unstructured":"Havlin, S., Selinger, R.B., Schwartz, M., Stanley, H.E., Bunde, A.: Random multiplicative processes and transport in structures with correlated spatial disorder. Phys. Rev. Let.\u00a061, 1438\u20131441 (1988)","journal-title":"Phys. Rev. Let."},{"key":"28_CR16","doi-asserted-by":"publisher","first-page":"895","DOI":"10.1051\/jp2:1995107","volume":"5","author":"B. Castaing","year":"1995","unstructured":"Castaing, B., Dubrulle, B.: Fully developed turbulence: A unifying point of view. J. Phys. II (France)\u00a05, 895\u2013899 (1995)","journal-title":"J. Phys. II. (France)"},{"key":"28_CR17","doi-asserted-by":"publisher","first-page":"708","DOI":"10.1103\/PhysRevLett.80.708","volume":"80","author":"A. Arneodo","year":"1998","unstructured":"Arneodo, A., Bacry, E., Manneville, S., Muzy, J.F.: Analysis of random cascades using space-scale correlation functions. Phys. Rev. Let.\u00a080, 708\u2013711 (1998)","journal-title":"Phys. Rev. Let."},{"key":"28_CR18","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/BF02714980","volume":"10","author":"W.K. Brown","year":"1989","unstructured":"Brown, W.K.: A theory of sequential fragmentation and its astronomical applications. J. Astrophys. Astr.\u00a010, 89\u2013112 (1989)","journal-title":"J. Astrophys. Astr."},{"key":"28_CR19","volume-title":"Probability, Random Variables, and Stochastic Processes","author":"A. Papoulis","year":"2002","unstructured":"Papoulis, A., Pillai, S.U.: Probability, Random Variables, and Stochastic Processes, 4th edn. McGraw-Hill, New York (2002)","edition":"4"},{"key":"28_CR20","doi-asserted-by":"publisher","first-page":"352","DOI":"10.1016\/0167-2789(93)90060-E","volume":"65","author":"R. Benzi","year":"1993","unstructured":"Benzi, R., Biferale, L., Crisanti, A., Paladin, G., Vergassola, M., Vulpiani, A.: A random process for the construction of multiaffine fields. Physica D\u00a065, 352\u2013358 (1993)","journal-title":"Physica D"},{"key":"28_CR21","doi-asserted-by":"publisher","first-page":"1717","DOI":"10.1103\/PhysRevA.40.1717","volume":"40","author":"S. Havlin","year":"1989","unstructured":"Havlin, S., Schwartz, M., Selinger, R.B., Bunde, A., Stanley, H.E.: Universality classes for diffusion in the presence of correlated spatial disorder. Phys. Rev. A\u00a040, 1717\u20131719 (1989)","journal-title":"Phys. Rev. A"},{"key":"28_CR22","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1119\/1.16497","volume":"58","author":"S. Redner","year":"1990","unstructured":"Redner, S.: Random multiplicative processes: An elementary tutorial. Am. J. Phys.\u00a058, 267\u2013273 (1990)","journal-title":"Am. J. Phys."},{"key":"28_CR23","doi-asserted-by":"publisher","first-page":"595","DOI":"10.1142\/S0129183196000491","volume":"7","author":"M. Levy","year":"1996","unstructured":"Levy, M., Solomon, S.: Power laws are logaritmic boltzmann laws. Int. J. Mod. Phys. C\u00a07, 595\u2013601 (1996)","journal-title":"Int. J. Mod. Phys. C"},{"key":"28_CR24","doi-asserted-by":"publisher","first-page":"431","DOI":"10.1051\/jp1:1997169","volume":"7","author":"D. Sornette","year":"1997","unstructured":"Sornette, D., Cont, R.: Convergent multiplicative processes repelled from zero: Power-laws and truncated power-laws. J. Phys. I (France)\u00a07, 431\u2013444 (1997)","journal-title":"J. Phys. I. (France)"},{"key":"28_CR25","volume-title":"An Introduction to Probability Theory and its Applications","author":"W. Feller","year":"1971","unstructured":"Feller, W.: An Introduction to Probability Theory and its Applications, vol.\u00a02. John Wiley and Sons, New York (1971)"},{"key":"28_CR26","volume-title":"Limit Distributions for Sums of Independent Random Variables","author":"B.V. Gnedenko","year":"1968","unstructured":"Gnedenko, B.V., Kolmogorov, A.N.: Limit Distributions for Sums of Independent Random Variables. Addison-Wesley, Reading (1968)"},{"key":"28_CR27","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/300776.300778","volume":"18","author":"K.J. Dana","year":"1999","unstructured":"Dana, K.J., van Ginneken, B., Nayar, S.K., Koenderink, J.J.: Reflectance and texture of real world surfaces. ACM Trans Graphics\u00a018, 1\u201334 (1999)","journal-title":"ACM Trans Graphics"},{"key":"28_CR28","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1098\/rspb.1998.0303","volume":"265","author":"J.H. Hateren van","year":"1998","unstructured":"van Hateren, J.H., van der Schaaf, A.: Independent component filters of natural images compared with simple cells in primary visual cortex. Proc. R. Soc. Lond. B\u00a0265, 359\u2013366 (1998)","journal-title":"Proc. R. Soc. Lond. B"}],"container-title":["Lecture Notes in Computer Science","Scale Space and PDE Methods in Computer Vision"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11408031_28.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,17]],"date-time":"2020-11-17T19:51:12Z","timestamp":1605642672000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11408031_28"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9783540255475","9783540320128"],"references-count":28,"URL":"https:\/\/doi.org\/10.1007\/11408031_28","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2005]]}}}