--- _id: '3311' abstract: - lang: eng 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. article_processing_charge: No author: - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 citation: ama: 'Edelsbrunner H. Alpha shapes - a survey. In: van de Weygaert R, Vegter G, Ritzerveld J, Icke V, eds. Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings. Springer.' apa: 'Edelsbrunner, H. (n.d.). Alpha shapes - a survey. In R. van de Weygaert, G. Vegter, J. Ritzerveld, & V. Icke (Eds.), Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings. Springer.' chicago: 'Edelsbrunner, Herbert. “Alpha Shapes - a Survey.” In Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings, edited by R van de Weygaert, G Vegter, J Ritzerveld, and V Icke. Springer, n.d.' ieee: 'H. Edelsbrunner, “Alpha shapes - a survey,” in Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings, R. van de Weygaert, G. Vegter, J. Ritzerveld, and V. Icke, Eds. Springer.' ista: 'Edelsbrunner H.Alpha shapes - a survey. In: Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings. .' mla: 'Edelsbrunner, Herbert. “Alpha Shapes - a Survey.” Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings, 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.' date_created: 2018-12-11T12:02:36Z date_published: 2011-12-31T00:00:00Z date_updated: 2022-05-24T07:56:30Z day: '31' ddc: - '510' department: - _id: HeEd editor: - first_name: R full_name: van de Weygaert, R last_name: van de Weygaert - first_name: G full_name: Vegter, G last_name: Vegter - first_name: J full_name: Ritzerveld, J last_name: Ritzerveld - first_name: V full_name: Icke, V last_name: Icke file: - access_level: open_access checksum: a592ea438351e7280eea993a7713ab8f content_type: application/pdf creator: dernst date_created: 2022-05-24T07:55:05Z date_updated: 2022-05-24T07:55:05Z file_id: '11408' file_name: 2010_AlphaShapes.pdf file_size: 475254 relation: main_file success: 1 file_date_updated: 2022-05-24T07:55:05Z has_accepted_license: '1' language: - iso: eng month: '12' oa: 1 oa_version: Submitted Version publication: 'Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings' publication_status: inpress publisher: Springer publist_id: '3329' quality_controlled: '1' status: public title: Alpha shapes - a survey type: book_chapter user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2011' ...