Geometric Hermite interpolation for space curves

DOI10.1016/S0167-8396(01)00053-XzbMath0984.68163OpenAlexW2041146807WikidataQ127008744 ScholiaQ127008744MaRDI QIDQ5958433

Jian-Hong Shi, Lianghong Xu

Publication date: 3 March 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(01)00053-x

zbMATH Keywords

interpolationaccuracyBézier curvegeometric smoothness

Mathematics Subject Classification ID

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

Related Items (7)

Construction of \(G^1\) planar Hermite interpolants with prescribed arc lengths ⋮ Spiral transitions ⋮ Geometric Hermite interpolation in \(\mathbb{R}^n\) by refinements ⋮ Inflection points on 3D curves ⋮ Certified approximation of parametric space curves with cubic \(B\)-spline curves ⋮ Hermite interpolation of space curves using the symmetric algebra ⋮ Planar \(C^{2}\) cubic spline interpolation under geometric boundary conditions

Cites Work

• Geometric Hermite interpolation with maximal order and smoothness
• Geometric Hermite interpolation
• High accuracy geometric Hermite interpolation
• On the local existence of the quadratic geometric Hermite interpolant

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