Affine-invariant distances, envelopes and symmetry sets

DOI10.1023/A:1005099011913zbMath0902.53001OpenAlexW1589327867MaRDI QIDQ1126974

Guillermo Sapiro, Peter J. Giblin

Publication date: 13 December 1998

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005099011913

zbMATH Keywords

singularitiesconicssymmetry setaffine invariancedual mapskew symmetryaffine invariant distance

Mathematics Subject Classification ID

Local submanifolds (53B25) Curves in Euclidean and related spaces (53A04) Affine differential geometry (53A15)

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Affine invariant distance using multiscale analysis ⋮ Boundary integral methods for dispersive equations, Airy flow and the modified Korteweg de Vries equation ⋮ Alternative 2D shape representations using the symmetry set ⋮ Envelope of mid-hyperplanes of a hypersurface ⋮ Envelope of intermediate lines of a plane curve ⋮ A new flow on starlike curves in $\mathbb {R}^3$ ⋮ The behavior of curvature functions at cusps and inflection points ⋮ A geometric representation of improper indefinite affine spheres with singularities ⋮ Envelope of mid-planes of a surface and some classical notions of affine differential geometry ⋮ Singularities of Anti de Sitter torus Gauss maps ⋮ A simplification of the proof of Bol's conjecture on sextactic points ⋮ Affine properties of convex equal-area polygons ⋮ Geometric contacts of surfaces immersed in \(\mathbb R^n,n\geqslant 5\) ⋮ On the computation of the affine skeletons of planar curves and the detection of skew symmetry ⋮ Equi-affine plane curves with singular points

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