The ubiquitous ellipse

DOI10.1007/BF00992844zbMath0831.53002OpenAlexW2510405400MaRDI QIDQ1897268

Guillermo Sapiro, Alfred Marcel Bruckstein

Publication date: 12 February 1996

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00992844

zbMATH Keywords

polygonal approximationevolution of curvesshortening by heat flow

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Convex sets in (2) dimensions (including convex curves) (52A10) Curves in Euclidean and related spaces (53A04) Affine differential geometry (53A15)

Related Items (3)

Solitons of discrete curve shortening ⋮ Limiting forms of iterated circular convolutions of planar polygons ⋮ From a random polygon in \(\mathbb R^m\) to an ellipse: a Fourier analysis of iterated circular convolutions

Uses Software

• Spline Toolbox

Cites Work

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• On the affine heat equation for non-convex curves
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• The Finite Fourier Series and Elementary Geometry
• A Property of Linear Cyclic Transformations

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