Analyzing the characteristic map of triangular subdivision schemes

DOI10.1007/s003659910006zbMath0948.65015OpenAlexW2025760787WikidataQ128089880 ScholiaQ128089880MaRDI QIDQ1968781

Georg Umlauf

Publication date: 22 November 2000

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003659910006

zbMATH Keywords

algorithmbox splinesLoop's algorithmtriangular subdivision

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (14)

Composite primal/dual \(\sqrt 3\)-subdivision schemes ⋮ Shape characterization of subdivision surfaces -- basic principles ⋮ General triangular midpoint subdivision ⋮ Analyzing a generalized Loop subdivision scheme ⋮ Triangular \(\sqrt 3\)-subdivision schemes: The regular case ⋮ Convergence analysis of regular dynamic Loop-like subdivision scheme ⋮ An introduction to a hybrid trigonometric box spline surface producing subdivision scheme ⋮ A merged tuning of binary and ternary Loop's subdivision ⋮ Convergence and normal continuity analysis of nonstationary subdivision schemes near extraordinary vertices and faces ⋮ Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices ⋮ Jet subdivision schemes on the \(k\)-regular complex ⋮ From extension of Loop's approximation scheme to interpolatory subdivisions ⋮ Non-stationary subdivision schemes: state of the art and perspectives ⋮ \(C^2\) subdivision over triangulations with one extraordinary point

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