{"quality_controlled":"1","_id":"3311","abstract":[{"text":"Alpha shapes have been conceived in 1981 as an attempt to define the shape of a finite set of point in the plane. Since then, connections to diverse areas in the sciences and engineering have developed, including to pattern recognition, digital shape sampling and processing, and structural molecular biology. This survey begins with a historical account and discusses geometric, algorithmic, topological, and combinatorial aspects of alpha shapes in this sequence.","lang":"eng"}],"date_updated":"2022-05-24T07:56:30Z","file_date_updated":"2022-05-24T07:55:05Z","day":"31","author":[{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner","full_name":"Edelsbrunner, Herbert","first_name":"Herbert"}],"publication_status":"inpress","article_processing_charge":"No","publisher":"Springer","title":"Alpha shapes - a survey","file":[{"file_size":475254,"checksum":"a592ea438351e7280eea993a7713ab8f","date_created":"2022-05-24T07:55:05Z","content_type":"application/pdf","file_id":"11408","success":1,"file_name":"2010_AlphaShapes.pdf","access_level":"open_access","date_updated":"2022-05-24T07:55:05Z","relation":"main_file","creator":"dernst"}],"date_published":"2011-12-31T00:00:00Z","language":[{"iso":"eng"}],"date_created":"2018-12-11T12:02:36Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"citation":{"ama":"Edelsbrunner H. Alpha shapes - a survey. In: van de Weygaert R, Vegter G, Ritzerveld J, Icke V, eds. <i>Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings</i>. Springer.","ista":"Edelsbrunner H.Alpha shapes - a survey. In: Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings. .","ieee":"H. Edelsbrunner, “Alpha shapes - a survey,” in <i>Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings</i>, R. van de Weygaert, G. Vegter, J. Ritzerveld, and V. Icke, Eds. Springer.","mla":"Edelsbrunner, Herbert. “Alpha Shapes - a Survey.” <i>Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings</i>, edited by R van de Weygaert et al., Springer.","short":"H. Edelsbrunner, in:, R. van de Weygaert, G. Vegter, J. Ritzerveld, V. Icke (Eds.), Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings, Springer, n.d.","chicago":"Edelsbrunner, Herbert. “Alpha Shapes - a Survey.” In <i>Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings</i>, edited by R van de Weygaert, G Vegter, J Ritzerveld, and V Icke. Springer, n.d.","apa":"Edelsbrunner, H. (n.d.). Alpha shapes - a survey. In R. van de Weygaert, G. Vegter, J. Ritzerveld, &#38; V. Icke (Eds.), <i>Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings</i>. Springer."},"oa_version":"Submitted Version","year":"2011","publication":"Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings","editor":[{"full_name":"van de Weygaert, R","first_name":"R","last_name":"van de Weygaert"},{"first_name":"G","full_name":"Vegter, G","last_name":"Vegter"},{"full_name":"Ritzerveld, J","first_name":"J","last_name":"Ritzerveld"},{"last_name":"Icke","full_name":"Icke, V","first_name":"V"}],"month":"12","has_accepted_license":"1","type":"book_chapter","department":[{"_id":"HeEd"}],"publist_id":"3329","ddc":["510"],"status":"public"}