---
_id: '3991'
abstract:
- lang: eng
  text: We give analytic inclusion-exclusion formulas for the area and perimeter derivatives
    of a union of finitely many disks in the plane.
acknowledgement: Partially supported by NSF under grant DMS-98-73945 and CCR-00-86013.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Ho
  full_name: Cheng, Ho
  last_name: Cheng
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
citation:
  ama: 'Cheng H, Edelsbrunner H. Area and perimeter derivatives of a union of disks.
    In: <i>Computer Science in Perspective: Essays Dedicated to Thomas Ottmann</i>.
    Vol 2598. Springer; 2003:88-97. doi:<a href="https://doi.org/10.1007/3-540-36477-3_7">10.1007/3-540-36477-3_7</a>'
  apa: 'Cheng, H., &#38; Edelsbrunner, H. (2003). Area and perimeter derivatives of
    a union of disks. In <i>Computer Science in Perspective: Essays Dedicated to Thomas
    Ottmann</i> (Vol. 2598, pp. 88–97). Springer. <a href="https://doi.org/10.1007/3-540-36477-3_7">https://doi.org/10.1007/3-540-36477-3_7</a>'
  chicago: 'Cheng, Ho, and Herbert Edelsbrunner. “Area and Perimeter Derivatives of
    a Union of Disks.” In <i>Computer Science in Perspective: Essays Dedicated to
    Thomas Ottmann</i>, 2598:88–97. Springer, 2003. <a href="https://doi.org/10.1007/3-540-36477-3_7">https://doi.org/10.1007/3-540-36477-3_7</a>.'
  ieee: 'H. Cheng and H. Edelsbrunner, “Area and perimeter derivatives of a union
    of disks,” in <i>Computer Science in Perspective: Essays Dedicated to Thomas Ottmann</i>,
    vol. 2598, Springer, 2003, pp. 88–97.'
  ista: 'Cheng H, Edelsbrunner H. 2003.Area and perimeter derivatives of a union of
    disks. In: Computer Science in Perspective: Essays Dedicated to Thomas Ottmann.
    LNCS, vol. 2598, 88–97.'
  mla: 'Cheng, Ho, and Herbert Edelsbrunner. “Area and Perimeter Derivatives of a
    Union of Disks.” <i>Computer Science in Perspective: Essays Dedicated to Thomas
    Ottmann</i>, vol. 2598, Springer, 2003, pp. 88–97, doi:<a href="https://doi.org/10.1007/3-540-36477-3_7">10.1007/3-540-36477-3_7</a>.'
  short: 'H. Cheng, H. Edelsbrunner, in:, Computer Science in Perspective: Essays
    Dedicated to Thomas Ottmann, Springer, 2003, pp. 88–97.'
date_created: 2018-12-11T12:06:18Z
date_published: 2003-02-17T00:00:00Z
date_updated: 2024-02-27T12:15:02Z
day: '17'
doi: 10.1007/3-540-36477-3_7
extern: '1'
intvolume: '      2598'
language:
- iso: eng
month: '02'
oa_version: None
page: 88 - 97
publication: 'Computer Science in Perspective: Essays Dedicated to Thomas Ottmann'
publication_identifier:
  isbn:
  - '9783540005797'
publication_status: published
publisher: Springer
publist_id: '2132'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Area and perimeter derivatives of a union of disks
type: book_chapter
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 2598
year: '2003'
...