{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:29:12Z","timestamp":1787318952261,"version":"build-2736575974"},"reference-count":20,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Imaging Sci."],"published-print":{"date-parts":[[2011,1]]},"abstract":"<jats:p>This is the second part of an investigation into the visual clues in illuminated scenes, in terms of the interactions between apparent contours, shade and cast shadow curves, boundary edges, and markings on smooth surfaces, pairs of surfaces meeting in a crease, and triples of surfaces meeting in a corner. We consider both \u201cstable\u201d and \u201ccodimension 1\u201d cases, the latter meaning that we list events which occur in a generic \u201cfly-past\u201d of the scene. We assume that there is a single principal source of light. The first part of this work is [Internat. J. Comput. Vision, 82 (2009), pp. 25\u201347]; in this second part we give details of the cases which involve creases and corners, and the \u201cmultilocal\u201d cases where two surfaces separated in space interact via occlusion or cast shadows. We also give some details of the mathematical background to our work; the full mathematical treatment will appear in [Damon, Giblin, and Haslinger, Characterizing Stable Local Features of Illuminated Surfaces and Their Generic Transitions from Viewer Movement, in preparation].<\/jats:p>","DOI":"10.1137\/090771053","type":"journal-article","created":{"date-parts":[[2011,3,29]],"date-time":"2011-03-29T18:45:36Z","timestamp":1301424336000},"page":"386-412","source":"Crossref","is-referenced-by-count":4,"title":["Local Image Features Resulting from 3-Dimensional Geometric Features, Illumination, and Movement: II"],"prefix":"10.1137","volume":"4","author":[{"given":"James","family":"Damon","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peter","family":"Giblin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gareth","family":"Haslinger","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2011,3,29]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-60.2.392"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/10\/1\/017"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1007\/BF01391830"},{"key":"R4","unstructured":"Visibility diagrams for corner transitions\n                      , pdf file available as supplementary material for this article or, with updates, at http:\/\/www.liv.ac.uk\/ pjgiblin and http:\/\/www.math.unc.edu\/Faculty\/jndamon."},{"key":"R5","doi-asserted-by":"crossref","unstructured":"J. Damon,\n                      The unfolding and determinacy theorems for subgroups of $\\mathcal{A}$ and $\\mathcal{K}$\n                      , Mem. Amer Math. Soc., 50 (1984), no. 306.","DOI":"10.1090\/memo\/0306"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1090\/pspum\/040.1\/713063"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/5\/2\/005"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1007\/s11263-008-0182-0"},{"key":"R9","unstructured":"J. Damon, P. Giblin, and G. Haslinger,\n                      Characterizing Stable Local Features of Illuminated Surfaces and Their Generic Transitions from Viewer Movement\n                      , in preparation."},{"key":"R10","unstructured":"L. Donati,\n                      Singularit\u00e9s des vues des surfaces \u00e9clair\u00e9es\n                      , Ph.D. thesis, Universit\u00e9 de Nice, Sophia Antipolis, France, 1995."},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1007\/s002080050095"},{"key":"R12","doi-asserted-by":"crossref","first-page":"153","DOI":"10.24033\/asens.1324","volume":"10","author":"DuFour J. P.","year":"1977","journal-title":"Ann. Sci. \u00c9cole Norm. Sup. (4)"},{"key":"R13","unstructured":"D. Haviv,\n                      Representation and Processing of Images based on Geometric Models\n                      , Ph.D. thesis, Weizmann Institute, Rehovot, Israel, 2010."},{"key":"R14","doi-asserted-by":"crossref","unstructured":"J.P. Henry and M. Merle,\n                      Shade, shadow and shape\n                      , in Computational Algebraic Geometry (Nice, 1992), Progr. Math. 109, Birkh\u00e4user Boston, Boston, MA, 1993, pp. 105\u2013128.","DOI":"10.1007\/978-1-4612-2752-6_8"},{"key":"R15","doi-asserted-by":"crossref","unstructured":"J. Martinet,\n                      D\u00e9ploiements versels des applications diff\u00e9rentiables et classification des applications stables\n                      , in Singularit\u00e9s d'Applications Diff\u00e9rentiables (S\u00e9m. Plans-Sur-Bex, 1975), Lecture Notes in Math. 535, Springer, Berlin, 1976, pp. 1\u201344.","DOI":"10.1007\/BFb0080494"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1007\/BF02698926"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1007\/BF02684889"},{"key":"R18","unstructured":"J. N. Mather,\n                      Notes on Right Equivalence\n                      , manuscript, 1970."},{"key":"R19","unstructured":"F. Tari,\n                      Some Applications of Singularity Theory to the Geometry of Curves and Surfaces\n                      , Ph.D. thesis, University of Liverpool, Liverpool, UK, 1990."},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-44.1.155"}],"container-title":["SIAM Journal on Imaging Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/090771053","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T12:43:46Z","timestamp":1787316226000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/090771053"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,1]]}},"alternative-id":["10.1137\/090771053"],"URL":"https:\/\/doi.org\/10.1137\/090771053","relation":{},"ISSN":["1936-4954"],"issn-type":[{"value":"1936-4954","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,1]]}}}