Generating planar spiral by geometry driven subdivision scheme

DOI10.1007/s11432-009-0160-3zbMath1192.68739OpenAlexW1978538505MaRDI QIDQ848373

Chongyang Deng, Guo-zhao Wang

Publication date: 3 March 2010

Published in: Science in China. Series F (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11432-009-0160-3

zbMATH Keywords

computer aided geometric designspiralgeometry driven subdivisioncircular arc splines

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Cites Work

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• A generalisation of the Pythagorean hodograph quintic spiral
• \(G^2\) Pythagorean hodograph quintic transition between two circles with shape control
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• A 4-point interpolatory subdivision scheme for curve design
• A shape controled fitting method for Bézier curves
• Designing Bézier conic segments with monotone curvature
• Nonlinear subdivision using local spherical coordinates
• Interpolation with cubic spirals
• Normal based subdivision scheme for curve design
• Planar \(G^2\) transition with a fair Pythagorean hodograph quintic curve
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme

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