{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T19:05:24Z","timestamp":1783105524510,"version":"3.54.6"},"reference-count":18,"publisher":"Association for Computing Machinery (ACM)","issue":"3","license":[{"start":{"date-parts":[[2007,7,29]],"date-time":"2007-07-29T00:00:00Z","timestamp":1185667200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Graph."],"published-print":{"date-parts":[[2007,7,29]]},"abstract":"<jats:p>\n            Three-dimensional shape can be drawn using a variety of feature lines, but none of the current definitions alone seem to capture all visually-relevant lines. We introduce a new definition of feature lines based on two perceptual observations. First, human perception is sensitive to the variation of shading, and since shape perception is little affected by lighting and reflectance modification, we should focus on normal variation. Second, view-dependent lines better convey smooth surfaces. From this we define\n            <jats:italic>view-dependent curvature<\/jats:italic>\n            as the variation of the surface normal with respect to a viewing screen plane, and\n            <jats:italic>apparent ridges<\/jats:italic>\n            as the loci of points that maximize a view-dependent curvature. We present a formal definition of apparent ridges and an algorithm to render line drawings of 3D meshes. We show that our apparent ridges encompass or enhance aspects of several other feature lines.\n          <\/jats:p>","DOI":"10.1145\/1276377.1276401","type":"journal-article","created":{"date-parts":[[2007,9,14]],"date-time":"2007-09-14T13:44:55Z","timestamp":1189777495000},"page":"19","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":201,"title":["Apparent ridges for line drawing"],"prefix":"10.1145","volume":"26","author":[{"given":"Tilke","family":"Judd","sequence":"first","affiliation":[{"name":"MIT Computer Science and Artificial Intelligence Laboratory"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fr\u00e9do","family":"Durand","sequence":"additional","affiliation":[{"name":"MIT Computer Science and Artificial Intelligence Laboratory"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Edward","family":"Adelson","sequence":"additional","affiliation":[{"name":"MIT Computer Science and Artificial Intelligence Laboratory"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2007,7,29]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"crossref","unstructured":"Canny J. 1987. A computational approach to edge defection. In RCV87 184--203.   Canny J. 1987. A computational approach to edge defection. In RCV87 184--203.","DOI":"10.1016\/B978-0-08-051581-6.50024-6"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/882262.882354"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/987657.987661"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/1073204.1073320"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1167\/4.9.10"},{"key":"e_1_2_2_7_1","doi-asserted-by":"publisher","DOI":"10.1145\/344779.345074"},{"key":"e_1_2_2_8_1","unstructured":"Hertzmann A. 1999. Introduction to 3d non-photorealistic rendering: Silhouettes and outlines. In Non-Photorealistic Rendering. SIGGRAPH 99 Course Notes S. Green Ed. ACM.  Hertzmann A. 1999. Introduction to 3d non-photorealistic rendering: Silhouettes and outlines. In Non-Photorealistic Rendering. SIGGRAPH 99 Course Notes S. Green Ed. ACM."},{"key":"e_1_2_2_9_1","volume-title":"Geometry and the Imagination","author":"Hilbert D.","unstructured":"Hilbert , D. , and Cohn-Vossen , S. 1952. Geometry and the Imagination . Chelsea, New York . Hilbert, D., and Cohn-Vossen, S. 1952. Geometry and the Imagination. Chelsea, New York."},{"key":"e_1_2_2_10_1","doi-asserted-by":"publisher","DOI":"10.5555\/832271.833836"},{"key":"e_1_2_2_11_1","doi-asserted-by":"publisher","DOI":"10.1080\/713820338"},{"key":"e_1_2_2_12_1","volume-title":"Solid shape","author":"Koenderink J. J.","unstructured":"Koenderink , J. J. 1990. Solid shape . MIT Press , Cambridge, MA, USA . Koenderink, J. J. 1990. Solid shape. 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