Corner cutting and augmentation: An area-preserving method for smoothing polygons and polylines

DOI10.1016/j.cagd.2010.05.005zbMath1210.65057OpenAlexW1997484217MaRDI QIDQ631054

Dan Gordon

Publication date: 22 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2010.05.005

zbMATH Keywords

CCAaugmentationspline approximationsubdivisionCADarea preservationcomputer aided geometric designcorner cutting\(G^{1}\)-continuitygraphical examplesconvexity preservationCAGDbounding hullmultiresolution curvespolygon smoothingpolyline smoothing

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

Circular sector area preserving approximation of circular arcs by geometrically smooth parametric polynomials

Cites Work

• Nonuniform corner cutting
• Detail preserving deformation of B-spline surfaces with volume constraint
• Cutting corners always works
• A geometric look at corner cutting
• Area preserving deformation of multiresolution curves
• Invariant Geometric Evolutions of Surfaces and Volumetric Smoothing
• Subdivision schemes in geometric modelling
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