Simple determination via complex arithmetic of geometric characteristics of Bézier conics

DOI10.1016/j.cagd.2011.06.007zbMath1231.65035OpenAlexW2028427815MaRDI QIDQ654560

Javier Sánchez-Reyes

Publication date: 29 December 2011

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2011.06.007

zbMATH Keywords

centerfocusconic sectioncomputer aided geometric designgraphical examplesrational Bézier curvelinear eccentricity

Mathematics Subject Classification ID

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

Cites Work

• The eccentricity of conic sections formulated as rational Bézier quadratics
• Single-valued curves in polar coordinates
• Pythagorean-hodograph curves. Algebra and geometry inseparable
• Geometric recipes for constructing Bézier conics of given centre or focus
• USING INVARIANTS TO EXTRACT GEOMETRIC CHARACTERISTICS OF CONIC SECTIONS FROM RATIONAL QUADRATIC PARAMETERIZATIONS
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