---
_id: '4063'
abstract:
- lang: eng
text: This paper describes a general-purpose programming technique, called Simulation
of Simplicity, that can be used to cope with degenerate input data for geometric
algorithms. It relieves the programmer from the task of providing a consistent
treatment for every single special case that can occur. The programs that use
the technique tend to be considerably smaller and more robust than those that
do not use it. We believe that this technique will become a standard tool in writing
geometric software.
acknowledgement: 'Research of both authors was supported by Amoco Foundation Faculty
Development grant CS 1-6-44862. It was partially carried out while both authors
were with the Institutes for Information Processing at the Technical University
of Graz, Austria. The first author also acknowledges support by the National Science
Foundation under grant CCR-8714565. '
article_processing_charge: No
article_type: original
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Ernst
full_name: Mücke, Ernst
last_name: Mücke
citation:
ama: 'Edelsbrunner H, Mücke E. Simulation of simplicity: A technique to cope with
degenerate cases in geometric algorithms. ACM Transactions on Graphics.
1990;9(1):66-104. doi:10.1145/77635.77639'
apa: 'Edelsbrunner, H., & Mücke, E. (1990). Simulation of simplicity: A technique
to cope with degenerate cases in geometric algorithms. ACM Transactions on
Graphics. ACM. https://doi.org/10.1145/77635.77639'
chicago: 'Edelsbrunner, Herbert, and Ernst Mücke. “Simulation of Simplicity: A Technique
to Cope with Degenerate Cases in Geometric Algorithms.” ACM Transactions on
Graphics. ACM, 1990. https://doi.org/10.1145/77635.77639.'
ieee: 'H. Edelsbrunner and E. Mücke, “Simulation of simplicity: A technique to cope
with degenerate cases in geometric algorithms,” ACM Transactions on Graphics,
vol. 9, no. 1. ACM, pp. 66–104, 1990.'
ista: 'Edelsbrunner H, Mücke E. 1990. Simulation of simplicity: A technique to cope
with degenerate cases in geometric algorithms. ACM Transactions on Graphics. 9(1),
66–104.'
mla: 'Edelsbrunner, Herbert, and Ernst Mücke. “Simulation of Simplicity: A Technique
to Cope with Degenerate Cases in Geometric Algorithms.” ACM Transactions on
Graphics, vol. 9, no. 1, ACM, 1990, pp. 66–104, doi:10.1145/77635.77639.'
short: H. Edelsbrunner, E. Mücke, ACM Transactions on Graphics 9 (1990) 66–104.
date_created: 2018-12-11T12:06:43Z
date_published: 1990-01-01T00:00:00Z
date_updated: 2022-02-22T14:58:39Z
day: '01'
doi: 10.1145/77635.77639
extern: '1'
intvolume: ' 9'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://dl.acm.org/doi/10.1145/77635.77639
month: '01'
oa_version: None
page: 66 - 104
publication: ACM Transactions on Graphics
publication_identifier:
eissn:
- 1557-7368
issn:
- 0730-0301
publication_status: published
publisher: ACM
publist_id: '2058'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Simulation of simplicity: A technique to cope with degenerate cases in geometric
algorithms'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 9
year: '1990'
...