Monotonicity Conditions of Curvature for Bezier-de Casteljau Curves

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.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP012019

Entities

People

  • Jean Charles Fiorot
  • Laurent Schiavon

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Coefficients
  • Continuity
  • Copyrights
  • Curvature
  • Geometry
  • Identities
  • Inequalities
  • Intellectual Property
  • Intervals
  • Mathematics
  • Polynomials
  • Shape
  • Technical Information Centers

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.