A canonical form for the continuous piecewise polynomial functions

DOI10.1016/j.cam.2014.11.033zbMath1352.65052arXiv1411.6919OpenAlexW1978993612MaRDI QIDQ2018484

Jorge Caravantes, Laureano Gonzalez-Vega, Maria Ángeles Gómez-Molleda

Publication date: 24 March 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6919

zbMATH Keywords

Pierce-Birkhoff conjectureconversion algorithmscanonical form for functionscontinuous piecewise polynomial functions

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• On the Pierce-Birkhoff conjecture over ordered fields
• The algebra of continuous piecewise polynomials
• A normal form for function rings of piecewise functions
• Max-min representation of piecewise linear functions
• Single equation without inequalities to represent a composite curve
• On the Pierce-Birkhoff conjecture
• Algorithms in real algebraic geometry

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