Are rational Bézier surfaces monotonicity preserving?

DOI10.1016/j.cagd.2007.03.006zbMath1171.65329OpenAlexW2068775982WikidataQ126266971 ScholiaQ126266971MaRDI QIDQ733422

Juan Manuel Peña, Jorge Delgado

Publication date: 16 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2007.03.006

zbMATH Keywords

rational surfacesmonotonicity preservation

Mathematics Subject Classification ID

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

Related Items

Shape-preserving surfaces with constraints on tension parameters, Monotonicity preserving representations of non-polynomial surfaces, On the accuracy of de Casteljau-type algorithms and Bernstein representations, On the evaluation of rational triangular Bézier surfaces and the optimal stability of the basis, Shape-preserving rational interpolation scheme for regular surface data, \(GC^1\) shape-preserving trigonometric surfaces

Cites Work

• Is there a geometric variation diminishing property for B-spline or Bézier surfaces?
• Tensor-product monotonicity preservation
• Monotonicity preservation on triangles
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