Multiple degree elevation and constrained multiple degree reduction for DP curves and surfaces

DOI10.1016/j.camwa.2010.09.052zbMath1219.65022OpenAlexW2074266757MaRDI QIDQ636706

Chanon Aphirukmatakun, Natasha Dejdumrong

Publication date: 28 August 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.09.052

zbMATH Keywords

DP curvesDP surfacesmonomial matrixmultiple degree elevationmultiple degree reductionsingle degree elevationsingle degree reduction

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

An equivalent parameter geometric shape representation using independent coordinates of cubic Bézier control points ⋮ Explicit \(G^2\)-constrained degree reduction of Bézier curves by quadratic optimization ⋮ Approximating of conic sections by DP curves with endpoint interpolation

Cites Work

• A shape preserving representation with an evaluation algorithm of linear complexity
• A unified matrix representation for degree reduction of Bézier curves

This page was built for publication: Multiple degree elevation and constrained multiple degree reduction for DP curves and surfaces