{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T16:52:26Z","timestamp":1777654346679,"version":"3.51.4"},"reference-count":31,"publisher":"Association for Computing Machinery (ACM)","issue":"6","license":[{"start":{"date-parts":[[2011,12,1]],"date-time":"2011-12-01T00:00:00Z","timestamp":1322697600000},"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":[[2011,12]]},"abstract":"<jats:p>\n            Minimalist object representations or\n            <jats:italic>shape-proxies<\/jats:italic>\n            that spark and inspire human perception of shape remain an incompletely understood, yet powerful aspect of visual communication. We explore the use of planar sections, i.e., the contours of intersection of planes with a 3D object, for creating shape abstractions, motivated by their popularity in art and engineering. We first perform a user study to show that humans do define consistent and similar planar section proxies for common objects. Interestingly, we observe a strong correlation between user-defined planes and geometric features of objects. Further we show that the problem of finding the minimum set of planes that capture a set of 3D geometric shape features is both NP-hard and not always the proxy a user would pick. Guided by the principles inferred from our user study, we present an algorithm that progressively selects planes to maximize feature coverage, which in turn influence the selection of subsequent planes. The algorithmic framework easily incorporates various shape features, while their relative importance values are computed and validated from the user study data. We use our algorithm to compute planar slices for various objects, validate their utility towards object abstraction using a second user study, and conclude showing the potential applications of the extracted planar slice shape proxies.\n          <\/jats:p>","DOI":"10.1145\/2070781.2024202","type":"journal-article","created":{"date-parts":[[2011,11,30]],"date-time":"2011-11-30T13:58:46Z","timestamp":1322661526000},"page":"1-12","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":55,"title":["Slices"],"prefix":"10.1145","volume":"30","author":[{"given":"James","family":"McCrae","sequence":"first","affiliation":[{"name":"University of Toronto"}]},{"given":"Karan","family":"Singh","sequence":"additional","affiliation":[{"name":"University of Toronto"}]},{"given":"Niloy J.","family":"Mitra","sequence":"additional","affiliation":[{"name":"KAUST\/UCL"}]}],"member":"320","published-online":{"date-parts":[[2011,12,12]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/1576246.1531379"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0097-8493(97)00082-4"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/1186562.1015817"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/1360612.1360687"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/1531326.1531334"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cag.2010.11.012"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1145\/1201775.882326"},{"key":"e_1_2_1_8_1","doi-asserted-by":"crossref","unstructured":"Ecker A. Kutulakos K. and Jepson A. 2007. Shape from planar curves: A linear escape from flatland. In Computer Vision and Pattern Recognition 1--8.  Ecker A. Kutulakos K. and Jepson A. 2007. Shape from planar curves: A linear escape from flatland. In Computer Vision and Pattern Recognition 1--8.","DOI":"10.1109\/CVPR.2007.383020"},{"key":"e_1_2_1_9_1","unstructured":"Edwards B. 2002. The New Drawing on the Right Side of the Brain. Tarcher.  Edwards B. 2002. The New Drawing on the Right Side of the Brain . Tarcher."},{"key":"e_1_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1037\/0033-295X.112.1.243"},{"key":"e_1_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1145\/1576246.1531339"},{"key":"e_1_2_1_12_1","unstructured":"Kalogerakis E. Simari P. Nowrouzezahrai D. and Singh K. 2007. Robust statistical estimation of curvature on discretized surfaces. In EUROGRAPHICS 13--22.   Kalogerakis E. Simari P. Nowrouzezahrai D. and Singh K. 2007. Robust statistical estimation of curvature on discretized surfaces. In EUROGRAPHICS 13--22."},{"key":"e_1_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1145\/1833349.1778839"},{"key":"e_1_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1145\/1342250.1342273"},{"key":"e_1_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1145\/1360612.1360674"},{"key":"e_1_2_1_16_1","unstructured":"Koenderink J. J. 1990. Solid shape. MIT Press Cambridge MA USA.   Koenderink J. J. 1990. Solid shape . MIT Press Cambridge MA USA."},{"key":"e_1_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1145\/1866158.1866178"},{"key":"e_1_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1145\/1778765.1778848"},{"key":"e_1_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2008.01112.x"},{"key":"e_1_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1145\/1618452.1618483"},{"key":"e_1_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1145\/1141911.1141924"},{"key":"e_1_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1145\/1186562.1015768"},{"key":"e_1_2_1_23_1","doi-asserted-by":"crossref","unstructured":"Powell M. 1978. A Fast Algorithm for Nonlinearly Constrained Optimization Calculations vol. 630. Springer Verlag.  Powell M. 1978. A Fast Algorithm for Nonlinearly Constrained Optimization Calculations vol. 630. Springer Verlag.","DOI":"10.1007\/BFb0067703"},{"key":"e_1_2_1_24_1","doi-asserted-by":"publisher","DOI":"10.1145\/1661412.1618495"},{"key":"e_1_2_1_25_1","volume-title":"Proc., 111--119","author":"Simari P."},{"key":"e_1_2_1_26_1","doi-asserted-by":"publisher","DOI":"10.1145\/280814.280946"},{"key":"e_1_2_1_27_1","first-page":"47","article-title":"The visual interpretation of surface contours","volume":"17","author":"Stevens K.","year":"1981","journal-title":"AI"},{"key":"e_1_2_1_28_1","unstructured":"Strothotte T. and Schlechtweg S. 2002. Non-photorealistic computer graphics: modeling rendering and animation. Morgan Kaufmann Publishers Inc.   Strothotte T. and Schlechtweg S. 2002. Non-photorealistic computer graphics: modeling rendering and animation . Morgan Kaufmann Publishers Inc."},{"key":"e_1_2_1_29_1","unstructured":"Sweet G. and Ware C. 2004. View direction surface orientation and texture orientation for perception of surface shape. In Graphics Interface 97--106.   Sweet G. and Ware C. 2004. View direction surface orientation and texture orientation for perception of surface shape. In Graphics Interface 97--106."},{"key":"e_1_2_1_30_1","doi-asserted-by":"publisher","DOI":"10.1037\/0096-1523.16.3.665"},{"key":"e_1_2_1_31_1","doi-asserted-by":"publisher","DOI":"10.1145\/1709886.1709890"}],"container-title":["ACM Transactions on Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2070781.2024202","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2070781.2024202","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T10:06:03Z","timestamp":1750241163000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2070781.2024202"}},"subtitle":["a shape-proxy based on planar sections"],"short-title":[],"issued":{"date-parts":[[2011,12]]},"references-count":31,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2011,12]]}},"alternative-id":["10.1145\/2070781.2024202"],"URL":"https:\/\/doi.org\/10.1145\/2070781.2024202","relation":{},"ISSN":["0730-0301","1557-7368"],"issn-type":[{"value":"0730-0301","type":"print"},{"value":"1557-7368","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,12]]},"assertion":[{"value":"2011-12-12","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}