---
_id: '3558'
abstract:
- lang: eng
  text: The tandem algorithm combines the marching cube algorithm for surface extraction
    and the edge contraction algorithm for surface simplification in lock-step to
    avoid the costly intermediate step of storing the entire extracted surface triangulation.
    Beyond this basic strategy, we introduce refinements to prevent artifacts in the
    resulting triangulation, first, by carefully monitoring the amount of simplification
    during the process and, second, by driving the simplification toward a compromise
    between shape approximation and mesh quality. We have implemented the algorithm
    and used extensive computational experiments to document the effects of various
    design options and to further fine-tune the algorithm.
acknowledgement: 'Partially supported the generated triangulations. Two questions
  arise: “how do by NSF grant CCR-00-86013 (BioGeometry).'
author:
- first_name: Dominique
  full_name: Attali, Dominique
  last_name: Attali
- first_name: David
  full_name: Cohen-Steiner, David
  last_name: Cohen Steiner
- first_name: Herbert
  full_name: Herbert Edelsbrunner
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
citation:
  ama: 'Attali D, Cohen Steiner D, Edelsbrunner H. Extraction and simplification of
    iso-surfaces in tandem. In: ACM; 2005:139-148.'
  apa: 'Attali, D., Cohen Steiner, D., & Edelsbrunner, H. (2005). Extraction and
    simplification of iso-surfaces in tandem (pp. 139–148). Presented at the SGP:
    Eurographics Symposium on Geometry processing, ACM.'
  chicago: Attali, Dominique, David Cohen Steiner, and Herbert Edelsbrunner. “Extraction
    and Simplification of Iso-Surfaces in Tandem,” 139–48. ACM, 2005.
  ieee: 'D. Attali, D. Cohen Steiner, and H. Edelsbrunner, “Extraction and simplification
    of iso-surfaces in tandem,” presented at the SGP: Eurographics Symposium on Geometry
    processing, 2005, pp. 139–148.'
  ista: 'Attali D, Cohen Steiner D, Edelsbrunner H. 2005. Extraction and simplification
    of iso-surfaces in tandem. SGP: Eurographics Symposium on Geometry processing,
    139–148.'
  mla: Attali, Dominique, et al. <i>Extraction and Simplification of Iso-Surfaces
    in Tandem</i>. ACM, 2005, pp. 139–48.
  short: D. Attali, D. Cohen Steiner, H. Edelsbrunner, in:, ACM, 2005, pp. 139–148.
conference:
  name: 'SGP: Eurographics Symposium on Geometry processing'
date_created: 2018-12-11T12:03:57Z
date_published: 2005-01-01T00:00:00Z
date_updated: 2021-01-12T07:44:18Z
day: '01'
extern: 1
main_file_link:
- open_access: '0'
  url: http://dl.acm.org/citation.cfm?id=1281943
month: '01'
page: 139 - 148
publication_status: published
publisher: ACM
publist_id: '2827'
quality_controlled: 0
status: public
title: Extraction and simplification of iso-surfaces in tandem
type: conference
year: '2005'
...