Bernstein based arithmetic featuring de casteljau

Dominique Michelucci, Sebti Foufou, Loïc Lamarque, David Ménegaux

Research output: Contribution to conferencePaper

Abstract

Bernstein based interval analysis permits to trace alge- braic curves and surfaces. In this paper, we propose to use the classical de Casteljau algorithm to improve the efficiency of the Bernstein based method. The proposed tracing method gives significant results with functions of high degree. These results are illustrated and com- pared with other interval analysis approaches.

Original languageEnglish (US)
Pages215-218
Number of pages4
StatePublished - Jan 1 2005
Event17th Canadian Conference on Computational Geometry, CCCG 2005 - Windsor, Canada
Duration: Aug 10 2005Aug 12 2005

Conference

Conference17th Canadian Conference on Computational Geometry, CCCG 2005
CountryCanada
CityWindsor
Period8/10/058/12/05

Fingerprint

Interval Analysis
De Casteljau Algorithm
Algebraic Surfaces
Curves and Surfaces
Algebraic curve
Tracing
Trace

ASJC Scopus subject areas

  • Geometry and Topology
  • Computational Mathematics

Cite this

Michelucci, D., Foufou, S., Lamarque, L., & Ménegaux, D. (2005). Bernstein based arithmetic featuring de casteljau. 215-218. Paper presented at 17th Canadian Conference on Computational Geometry, CCCG 2005, Windsor, Canada.

Bernstein based arithmetic featuring de casteljau. / Michelucci, Dominique; Foufou, Sebti; Lamarque, Loïc; Ménegaux, David.

2005. 215-218 Paper presented at 17th Canadian Conference on Computational Geometry, CCCG 2005, Windsor, Canada.

Research output: Contribution to conferencePaper

Michelucci, D, Foufou, S, Lamarque, L & Ménegaux, D 2005, 'Bernstein based arithmetic featuring de casteljau' Paper presented at 17th Canadian Conference on Computational Geometry, CCCG 2005, Windsor, Canada, 8/10/05 - 8/12/05, pp. 215-218.
Michelucci D, Foufou S, Lamarque L, Ménegaux D. Bernstein based arithmetic featuring de casteljau. 2005. Paper presented at 17th Canadian Conference on Computational Geometry, CCCG 2005, Windsor, Canada.
Michelucci, Dominique ; Foufou, Sebti ; Lamarque, Loïc ; Ménegaux, David. / Bernstein based arithmetic featuring de casteljau. Paper presented at 17th Canadian Conference on Computational Geometry, CCCG 2005, Windsor, Canada.4 p.
@conference{151150e6bfce49cb9f2319e22c3b0820,
title = "Bernstein based arithmetic featuring de casteljau",
abstract = "Bernstein based interval analysis permits to trace alge- braic curves and surfaces. In this paper, we propose to use the classical de Casteljau algorithm to improve the efficiency of the Bernstein based method. The proposed tracing method gives significant results with functions of high degree. These results are illustrated and com- pared with other interval analysis approaches.",
author = "Dominique Michelucci and Sebti Foufou and Lo{\"i}c Lamarque and David M{\'e}negaux",
year = "2005",
month = "1",
day = "1",
language = "English (US)",
pages = "215--218",
note = "17th Canadian Conference on Computational Geometry, CCCG 2005 ; Conference date: 10-08-2005 Through 12-08-2005",

}

TY - CONF

T1 - Bernstein based arithmetic featuring de casteljau

AU - Michelucci, Dominique

AU - Foufou, Sebti

AU - Lamarque, Loïc

AU - Ménegaux, David

PY - 2005/1/1

Y1 - 2005/1/1

N2 - Bernstein based interval analysis permits to trace alge- braic curves and surfaces. In this paper, we propose to use the classical de Casteljau algorithm to improve the efficiency of the Bernstein based method. The proposed tracing method gives significant results with functions of high degree. These results are illustrated and com- pared with other interval analysis approaches.

AB - Bernstein based interval analysis permits to trace alge- braic curves and surfaces. In this paper, we propose to use the classical de Casteljau algorithm to improve the efficiency of the Bernstein based method. The proposed tracing method gives significant results with functions of high degree. These results are illustrated and com- pared with other interval analysis approaches.

UR - http://www.scopus.com/inward/record.url?scp=84872743869&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84872743869&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84872743869

SP - 215

EP - 218

ER -