A New Planar Bezier-Like Spiral Defined by Exponential Functions And Transition Curves

DOI10.30546/2409-4994.47.1.78zbMath1474.65038OpenAlexW3163256174WikidataQ115488857 ScholiaQ115488857MaRDI QIDQ5162993

Bayram Ṣahin, Asli Ayar

Publication date: 8 November 2021

Published in: Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2409-4994.47.1.78

zbMATH Keywords

Bezier curvetransition curvesspiral curveBezier-like curve

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Cites Work

• A further generalisation of the planar cubic Bézier spiral
• Planar \(G^{2}\) transition curves composed of cubic Bézier spiral segments
• A planar cubic Bézier spiral
• Spiral transitions
• Curves and surfaces construction based on new basis with exponential functions
• Constructing curves and triangular patches by Beta functions
• The \(G^2\) and \(C^2\) rational quadratic trigonometric Bézier curve with two shape parameters with applications
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