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Total positivity and convexity preservation

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Publication:1279880
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DOI10.1006/jath.1998.3219zbMath0929.41007OpenAlexW2049178311MaRDI QIDQ1279880

Michael S. Floater

Publication date: 25 January 2000

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/bde04de3aeabbeb41c64f72c10174d498973af09


zbMATH Keywords

convexitytotal positivityBézier curvesshape preservationCasteljau algorithm


Mathematics Subject Classification ID

Approximation with constraints (41A29) Approximation by polynomials (41A10) Algorithms for approximation of functions (65D15)


Related Items

On the injectivity of Wachspress and mean value mappings between convex polygons ⋮ Simplicial cones and the existence of shape-preserving cyclic operators. ⋮ Global convexity of curves and polygons



Cites Work

  • Derivatives of rational Bézier curves
  • Generalized convexity preserving transformations
  • Convexity of rational curves and total positivity
  • Totally positive matrices
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