{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T15:41:47Z","timestamp":1774539707179,"version":"3.50.1"},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2007,6,30]],"date-time":"2007-06-30T00:00:00Z","timestamp":1183161600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int J Comput Vis"],"published-print":{"date-parts":[[2008,1]]},"DOI":"10.1007\/s11263-007-0056-x","type":"journal-article","created":{"date-parts":[[2007,6,29]],"date-time":"2007-06-29T17:04:12Z","timestamp":1183136652000},"page":"1-12","source":"Crossref","is-referenced-by-count":293,"title":["On the Local Behavior of Spaces of Natural Images"],"prefix":"10.1007","volume":"76","author":[{"given":"Gunnar","family":"Carlsson","sequence":"first","affiliation":[]},{"given":"Tigran","family":"Ishkhanov","sequence":"additional","affiliation":[]},{"given":"Vin","family":"de Silva","sequence":"additional","affiliation":[]},{"given":"Afra","family":"Zomorodian","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,6,30]]},"reference":[{"key":"56_CR1","unstructured":"Carlsson, G., & de Silva, V. (2004). Topological estimation using witness complexes. In Symposium on point-based graphics."},{"key":"56_CR2","unstructured":"de Silva, V. (2003). A weak definition of Delaunay triangulation."},{"key":"56_CR3","doi-asserted-by":"crossref","unstructured":"Edelsbrunner, H., Letscher, D., & Zomorodian, A. (2000). Topological persistence and simplification. IEEE symposium on foundations of computer science.","DOI":"10.1109\/SFCS.2000.892133"},{"issue":"12","key":"56_CR4","doi-asserted-by":"crossref","first-page":"2379","DOI":"10.1364\/JOSAA.4.002379","volume":"4","author":"D. J. Field","year":"1987","unstructured":"Field, D. J. (1987). Relations between the statistics of natural images and the response properties of cortical cells. Journal of the Optical Society of America, 4(12), 2379\u20132394.","journal-title":"Journal of the Optical Society of America"},{"key":"56_CR5","unstructured":"Geman, D., & Koloydenko, A. (1999). Invariant statistics and coding of natural microimages. In Proceedings of the IEEE workshop on statistical and computational theories of vision."},{"key":"56_CR6","volume-title":"Algebraic topology","author":"A. Hatcher","year":"2001","unstructured":"Hatcher, A. (2001). Algebraic topology. Cambridge: Cambridge University Press."},{"issue":"6","key":"56_CR7","doi-asserted-by":"crossref","first-page":"1113","DOI":"10.1364\/JOSAA.7.001113","volume":"7","author":"D. C. Knill","year":"1990","unstructured":"Knill, D. C., Field, D. J., & Kersten, D. (1990). Human discrimination of fractal images. Journal of the Optical Society of America A, 7(6), 1113\u20131123","journal-title":"Journal of the Optical Society of America A"},{"issue":"1\u20133","key":"56_CR8","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1023\/A:1023705401078","volume":"54","author":"A. B. Lee","year":"2003","unstructured":"Lee, A. B., Pedersen, K. S., & Mumford, D. (2003). The non-linear statistics of high-contrast patches in natural images. International Journal of Computer Vision, 54(1\u20133), 83\u2013103.","journal-title":"International Journal of Computer Vision"},{"issue":"4","key":"56_CR9","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1088\/0954-898X_10_4_304","volume":"10","author":"P. Reinagel","year":"1999","unstructured":"Reinagel, P., & Zador, A. M. (1999). Natural scene statistics at the center of gaze. Network: Computation in Neural Systems, 10(4), 341\u2013350.","journal-title":"Network: Computation in Neural Systems"},{"key":"56_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-3324-9","volume-title":"Density estimation for statistics and data analysis","author":"B. W. Silverman","year":"1986","unstructured":"Silverman, B. W. (1986). Density estimation for statistics and data analysis. London: Chapman & Hall\/CRC."},{"key":"56_CR11","doi-asserted-by":"crossref","unstructured":"Singh, G., M\u00e9moli, F., Ishkhanov, T., Sapiro, G., Carlsson, G., & Ringach, D., (2007, submitted). Topological structure of population activity in primary visual cortex. PLoS.","DOI":"10.1167\/8.8.11"},{"key":"56_CR12","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1007\/BF00188924","volume":"171","author":"J. H. Hateren van","year":"1992","unstructured":"van Hateren, J. H. (1992). Theoretical predictions of spatiotemporal receptive fields of fly LMCs, and experimental validation. Journal of Computational Physiology A, 171, 157\u2013170.","journal-title":"Journal of Computational Physiology A"},{"key":"56_CR13","doi-asserted-by":"crossref","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. (1998). Independent component filters of natural images compared with simple cells in primary visual cortex. Proceedings of the Royal Society of London Series B, 265, 359\u2013366.","journal-title":"Proceedings of the Royal Society of London Series B"},{"key":"56_CR14","doi-asserted-by":"crossref","unstructured":"Zomorodian, A., & Carlsson, G. (2004). Computing persistent homology. In 20th ACM symposium on computational geometry.","DOI":"10.1145\/997817.997870"}],"container-title":["International Journal of Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-007-0056-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11263-007-0056-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-007-0056-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T12:16:37Z","timestamp":1559391397000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11263-007-0056-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,6,30]]},"references-count":14,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2008,1]]}},"alternative-id":["56"],"URL":"https:\/\/doi.org\/10.1007\/s11263-007-0056-x","relation":{},"ISSN":["0920-5691","1573-1405"],"issn-type":[{"value":"0920-5691","type":"print"},{"value":"1573-1405","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,6,30]]}}}