Optimal approximate merging of a pair of Bézier curves with \(G^{2}\)-continuity
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Publication:1048308
DOI10.1631/JZUS.A0820301zbMath1181.65028OpenAlexW2012845920MaRDI QIDQ1048308
Publication date: 11 January 2010
Published in: Journal of Zhejiang University. Science A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1631/jzus.a0820301
numerical examplesBézier curvescontrol points\(G^{1}\)-continuity\(G^{2}\)-continuityapproximate mergingdiscrete subdivisionpoint constraints
Related Items (5)
Merging of Bézier curves with box constraints ⋮ An iterative algorithm for \(G^2\) multiwise merging of Bézier curves ⋮ Explicit algorithms for multiwise merging of Bézier curves ⋮ Efficient merging of multiple segments of Bézier curves ⋮ An explicit method for \(G^3\) merging of two Bézier curves
Cites Work
- Approximate merging of a pair of Bézier curves
- Approximate conversion of spline curves
- Constrained polynomial degree reduction in the \(L_2\)-norm equals best weighted Euclidean approximation of Bézier coefficients
- Degree reduction of disk Bézier curves
- Optimal multi-degree reduction of triangular Bézier surfaces with corners continuity in the norm \(L_{2}\)
- Matrix representation for multi-degree reduction of Bézier curves
- Perturbing Béziercoefficients for best constrained degree reduction in the L2-norm
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