C1 Interpolatory Subdivision with Shape Constraints for Curves

DOI10.1137/040621302zbMath1124.65014OpenAlexW1971695466MaRDI QIDQ3446832

Jean-Louis Merrien, Tom Lyche

Publication date: 26 June 2007

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040621302

zbMATH Keywords

interpolationalgorithmmonotonicityconvexitypositivitysubdivisioncurvessurfacestotal positivitycorner cutting

Mathematics Subject Classification ID

Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (13)

Analysis of Hermite subdivision using piecewise polynomials ⋮ \(C^1\) sign, monotonicity and convexity preserving Hermite polynomial splines of variable degree ⋮ Hermite subdivision with shape constraints on a rectangular mesh ⋮ Scalar and Hermite subdivision schemes ⋮ Curve and surface construction using Hermite subdivision schemes ⋮ Convergence analysis of \(C^{2}\) Hermite interpolatory subdivision schemes by explicit joint spectral radius formulas ⋮ A regularization-correction approach for adapting subdivision schemes to the presence of discontinuities ⋮ Non-uniform interpolatory curve subdivision with edge parameters built upon compactly supported fundamental splines ⋮ Shape-preserving \(C^1\) Hermite interpolants generated by a Gori-Pitolli subdivision scheme ⋮ Regularity of non-stationary subdivision: a matrix approach ⋮ A geometric approach for Hermite subdivision ⋮ Shape preserving \(HC^2\) interpolatory subdivision ⋮ On constrained nonlinear Hermite subdivision

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