---
_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'
...