Accession Number:

ADP012019

Title:

Monotonicity Conditions of Curvature for Bezier-de Casteljau Curves

Descriptive Note:

Conference paper

Corporate Author:

UNIVERSITE DE VALENCIENNES ET DU HAINAUT-CAMBRESIS (FRANCE) LAB MACS

Report Date:

2000-01-01

Pagination or Media Count:

10.0

Abstract:

In this paper, we deal with the monotonicity of curvature problem for Bezier-de Casteljau curves. We focus more particularly on the cubic case. A condition about decreasing curvature at the origin of a cubic curve is given so that it implies decreasing curvature at every point. The corresponding cubics are determined by their control polygon.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE