{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:35:10Z","timestamp":1772296510694,"version":"3.50.1"},"publisher-location":"Cham","reference-count":21,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030223670","type":"print"},{"value":"9783030223687","type":"electronic"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-22368-7_18","type":"book-chapter","created":{"date-parts":[[2019,6,20]],"date-time":"2019-06-20T23:08:07Z","timestamp":1561072087000},"page":"224-235","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A Variational Convex Hull Algorithm"],"prefix":"10.1007","author":[{"given":"Lingfeng","family":"Li","sequence":"first","affiliation":[]},{"given":"Shousheng","family":"Luo","sequence":"additional","affiliation":[]},{"given":"Xue-Cheng","family":"Tai","sequence":"additional","affiliation":[]},{"given":"Jiang","family":"Yang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,6,5]]},"reference":[{"key":"18_CR1","doi-asserted-by":"crossref","unstructured":"Liparulo, L., Proietti, A., Panella, M.: Fuzzy clustering using the convex hull as geometrical model. Adv. Fuzzy Syst. 2015, 6 (2015)","DOI":"10.1155\/2015\/265135"},{"issue":"4","key":"18_CR2","doi-asserted-by":"publisher","first-page":"623","DOI":"10.1109\/70.781966","volume":"15","author":"S Hert","year":"1999","unstructured":"Hert, S., Lumelsky, V.: Motion planning in \n                      \n                        \n                      \n                      $$\\mathbf{R}^3$$\n                     for multiple tethered robots. IEEE Trans. Robot. Autom. 15(4), 623\u2013639 (1999)","journal-title":"IEEE Trans. Robot. Autom."},{"issue":"6","key":"18_CR3","doi-asserted-by":"publisher","first-page":"1467","DOI":"10.1109\/TRO.2017.2750703","volume":"33","author":"T Tomic","year":"2017","unstructured":"Tomic, T., Ott, C., Haddadin, S.: External wrench estimation, collision detection, and reflex reaction for flying robots. IEEE Trans. Robot. 33(6), 1467\u20131482 (2017)","journal-title":"IEEE Trans. Robot."},{"key":"18_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"220","DOI":"10.1007\/978-3-319-78199-0_15","volume-title":"Energy Minimization Methods in Computer Vision and Pattern Recognition","author":"L Condat","year":"2018","unstructured":"Condat, L.: A convex approach to k-means clustering and image segmentation. In: Pelillo, M., Hancock, E. (eds.) EMMCVPR 2017. LNCS, vol. 10746, pp. 220\u2013234. Springer, Cham (2018). \n                      https:\/\/doi.org\/10.1007\/978-3-319-78199-0_15"},{"key":"18_CR5","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1016\/0020-0190(73)90020-3","volume":"2","author":"RA Jarvis","year":"1973","unstructured":"Jarvis, R.A.: On the identification of the convex hull of a finite set of points in the plane. Inf. Process. Lett. 2, 18\u201321 (1973)","journal-title":"Inf. Process. Lett."},{"key":"18_CR6","doi-asserted-by":"publisher","first-page":"132","DOI":"10.1016\/0020-0190(72)90045-2","volume":"26","author":"R Graham","year":"1972","unstructured":"Graham, R.: An efficient algorithm for determining the convex hull of a finite planar set. Inf. Process. Lett. 26, 132\u2013133 (1972)","journal-title":"Inf. Process. Lett."},{"issue":"4","key":"18_CR7","doi-asserted-by":"publisher","first-page":"469","DOI":"10.1145\/235815.235821","volume":"22","author":"C. Bradford Barber","year":"1996","unstructured":"Barber, C.B., Dobkin, D.P., Huhdanpaa, H.: The quickhull algorithm for convex hulls. ACM Trans. Math. Softw. 22(4), 469\u2013483 (1996)","journal-title":"ACM Transactions on Mathematical Software"},{"issue":"2","key":"18_CR8","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1145\/359423.359430","volume":"20","author":"F. P. Preparata","year":"1977","unstructured":"Preparata, F.P., Hong, S.J.: Convex hulls of finite sets of points in two and three dimensions. Commun. ACM 20(2), 87\u201393 (1977)","journal-title":"Communications of the ACM"},{"issue":"5","key":"18_CR9","doi-asserted-by":"publisher","first-page":"216","DOI":"10.1016\/0020-0190(79)90072-3","volume":"9","author":"A.M. Andrew","year":"1979","unstructured":"Andrew, A.M.: Another efficient algorithm for convex hulls in two dimensions. Inf. Process. Lett. 9(5), 216\u2013219 (1979)","journal-title":"Information Processing Letters"},{"issue":"1","key":"18_CR10","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1145\/358315.358392","volume":"25","author":"J Bentley","year":"1982","unstructured":"Bentley, J., Preparata, F., Faust, M.: Approximation algorithms for convex hulls. Commun. ACM 25(1), 64\u201368 (1982)","journal-title":"Commun. ACM"},{"key":"18_CR11","first-page":"101","volume":"6","author":"L Kavan","year":"2006","unstructured":"Kavan, L., Kolingerova, I., Zara, J.: Fast approximation of convex hull. ACST 6, 101\u2013104 (2006)","journal-title":"ACST"},{"key":"18_CR12","unstructured":"Krvr, C.E., Ivan, S.: Sequential and parallel approximate convex hull algorithms. Comput. Artif. Intell. 14(6), 597\u2013610 (1995)"},{"issue":"4","key":"18_CR13","first-page":"449","volume":"2","author":"A Hazra","year":"2013","unstructured":"Hazra, A., Deb, K., Kundu, S., Hazra, P.: Shape oriented feature selection for tomato plant identification. Int. J. Comput. Appl. Technol. Res. 2(4), 449\u2013454 (2013)","journal-title":"Int. J. Comput. Appl. Technol. Res."},{"key":"18_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1007\/3-540-48236-9_13","volume-title":"Scale-Space Theories in Computer Vision","author":"T Chan","year":"1999","unstructured":"Chan, T., Vese, L.: An active contour model without edges. In: Nielsen, M., Johansen, P., Olsen, O.F., Weickert, J. (eds.) Scale-Space 1999. LNCS, vol. 1682, pp. 141\u2013151. Springer, Heidelberg (1999). \n                      https:\/\/doi.org\/10.1007\/3-540-48236-9_13"},{"issue":"6","key":"18_CR15","first-page":"809","volume":"14","author":"X-C Tai","year":"2017","unstructured":"Tai, X.-C., Duan, J.: A simple fast algorithm for minimization of the elastica energy combining binary and level set representations. Int. J. Numer. Anal. Model. 14(6), 809\u2013821 (2017)","journal-title":"Int. J. Numer. Anal. Model."},{"key":"18_CR16","unstructured":"Yan, S., Tai, X.-C, Liu, J., Huang, H.-Y: Convexity shape prior for level set based image segmentation method. arXiv preprint \n                      arXiv:1805.08676\n                      \n                     (2018)"},{"key":"18_CR17","unstructured":"Luo, S., Tai, X.-C.: Convex shape priors for level set representation. arXiv preprint \n                      arXiv:1811.04715\n                      \n                     (2018)"},{"key":"18_CR18","unstructured":"o\u2019Rourke, J.: Computational Geometry in C. Cambridge University Press, Cambridge (1998)"},{"issue":"1","key":"18_CR19","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1137\/S0036144598336745","volume":"41","author":"G Strang","year":"1999","unstructured":"Strang, G.: The discrete cosine transform. SIAM Rev. 41(1), 135\u2013147 (1999)","journal-title":"SIAM Rev."},{"key":"18_CR20","doi-asserted-by":"crossref","unstructured":"Alpert, S., Galun, M., Basri, R., Brandt, A.: Image segmentation by probabilistic bottom-up aggregation and cue integration. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, June 2007","DOI":"10.1109\/CVPR.2007.383017"},{"key":"18_CR21","unstructured":"Rufai, R.A.: Convex Hull Problems. Ph.D. thesis (2015)"}],"container-title":["Lecture Notes in Computer Science","Scale Space and Variational Methods in Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-22368-7_18","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,20]],"date-time":"2019-06-20T23:09:18Z","timestamp":1561072158000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-22368-7_18"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030223670","9783030223687"],"references-count":21,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-22368-7_18","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"5 June 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"SSVM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Scale Space and Variational Methods in Computer Vision","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Hofgeismar","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Germany","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"30 June 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"4 July 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"7","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"scalespace2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/ssvm2019.mic.uni-luebeck.de\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}