A novel fractional implicit polynomial approach for stable representation of complex shapes

DOI10.1007/s10851-015-0615-7zbMath1352.68276OpenAlexW2184399096MaRDI QIDQ275340

Yanchun Zhang, Gang Wu

Publication date: 25 April 2016

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-015-0615-7

zbMATH Keywords

shape representationalgebraic curvecurve and surface fittingimplicit polynomial

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Machine vision and scene understanding (68T45)

Cites Work

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• Rotations, translations and symmetry detection for complexified curves
• Improving the robustness of fractional polynomial models by preliminary covariate transformation: a pragmatic approach
• Improving the stability of algebraic curves for applications
• Parameterized families of polynomials for bounded algebraic curve and surface fitting
• Implicit B-Spline Surface Reconstruction
• Screened poisson surface reconstruction
• Implicit Polynomial Representation Through a Fast Fitting Error Estimation

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