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Graph."],"published-print":{"date-parts":[[2016,11,11]]},"abstract":"<jats:p>\n            This paper tackles a challenging 2D collage generation problem, focusing on shapes: we aim to fill a given region by packing irregular and reasonably-sized shapes with minimized gaps and overlaps. To achieve this nontrivial problem, we first have to analyze the boundary of individual shapes and then couple the shapes with partially-matched boundary to reduce gaps and overlaps in the collages. Second, the search space in identifying a good coupling of shapes is highly enormous, since arranging a shape in a collage involves a position, an orientation, and a scale factor. Yet, this matching step needs to be performed for every single shape when we pack it into a collage. Existing shape descriptors are simply infeasible for computation in a reasonable amount of time. To overcome this, we present a brand new, scale- and rotation-invariant 2D shape descriptor, namely\n            <jats:italic>pyramid of arclength descriptor<\/jats:italic>\n            (PAD). Its formulation is locally supported, scalable, and yet simple to construct and compute. These properties make PAD efficient for performing the partial-shape matching. Hence, we can prune away most search space with simple calculation, and efficiently identify candidate shapes. We evaluate our method using a large variety of shapes with different types and contours. Convincing collage results in terms of visual quality and time performance are obtained.\n          <\/jats:p>","DOI":"10.1145\/2980179.2980234","type":"journal-article","created":{"date-parts":[[2016,11,11]],"date-time":"2016-11-11T17:02:54Z","timestamp":1478883774000},"page":"1-12","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":17,"title":["Pyramid of arclength descriptor for generating collage of shapes"],"prefix":"10.1145","volume":"35","author":[{"given":"Kin Chung","family":"Kwan","sequence":"first","affiliation":[{"name":"The Chinese University of Hong Kong"}]},{"given":"Lok Tsun","family":"Sinn","sequence":"additional","affiliation":[{"name":"The Chinese University of Hong Kong"}]},{"given":"Chu","family":"Han","sequence":"additional","affiliation":[{"name":"The Chinese University of Hong Kong"}]},{"given":"Tien-Tsin","family":"Wong","sequence":"additional","affiliation":[{"name":"The Chinese University of Hong Kong"}]},{"given":"Chi-Wing","family":"Fu","sequence":"additional","affiliation":[{"name":"The Chinese University of Hong Kong"}]}],"member":"320","published-online":{"date-parts":[[2016,12,5]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2006.12.005"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1109\/34.75509"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/0031-3203(91)90140-Z"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1109\/34.993558"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1109\/83.481671"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1145\/1141911.1141933"},{"key":"e_1_2_2_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.patrec.2008.08.013"},{"key":"e_1_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/1124728.1124741"},{"key":"e_1_2_2_9_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-12307-8_26"},{"key":"e_1_2_2_10_1","doi-asserted-by":"publisher","DOI":"10.1145\/1274871.1274873"},{"key":"e_1_2_2_11_1","doi-asserted-by":"publisher","DOI":"10.1145\/2601097.2601131"},{"key":"e_1_2_2_12_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2009.01615.x"},{"key":"e_1_2_2_13_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.comgeo.2004.03.007"},{"key":"e_1_2_2_14_1","doi-asserted-by":"publisher","DOI":"10.1109\/TC.1972.5008926"},{"key":"e_1_2_2_15_1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-8396(94)90004-3"},{"key":"e_1_2_2_16_1","doi-asserted-by":"publisher","DOI":"10.1145\/383259.383327"},{"key":"e_1_2_2_17_1","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2014.2342215"},{"key":"e_1_2_2_18_1","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2015.2498620"},{"key":"e_1_2_2_19_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1962.1057692"},{"key":"e_1_2_2_20_1","doi-asserted-by":"publisher","DOI":"10.1145\/2070781.2024189"},{"key":"e_1_2_2_21_1","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2014.2303087"},{"key":"e_1_2_2_22_1","doi-asserted-by":"publisher","DOI":"10.1145\/344779.345022"},{"key":"e_1_2_2_23_1","volume-title":"Proc. of Graphics Interface, Canadian Human-Computer Communications Society, 255--262","author":"Kaplan C. 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