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Aperture of plane curves

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Publication:5174931
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DOI10.5427/jsing.2015.12ezbMath1310.82048arXiv1404.5164OpenAlexW2963051207MaRDI QIDQ5174931

Daisuke Kagatsume, Takashi Nishimura

Publication date: 19 February 2015

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5164


zbMATH Keywords

Wulff shapeaperture angleapertureaperture point


Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Global theory of singularities (58K30) Machine vision and scene understanding (68T45)


Related Items (5)

Primitivoids and inversions of plane curves ⋮ The spherical dual transform is an isometry for spherical Wulff shapes ⋮ Anti-orthotomics of frontals and their applications ⋮ Simultaneous smoothness and simultaneous stability of a \(C^\infty\) strictly convex integrand and its dual ⋮ Strictly convex Wulff shapes and 𝐶¹ convex integrands



Cites Work

  • Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes
  • Normal forms for singularities of pedal curves produced by non-singular dual curve germs in \(S^{n}\)
  • SINGULARITIES OF PEDAL CURVES PRODUCED BY SINGULAR DUAL CURVE GERMS IN Sn
  • Singularities of one-parameter pedal unfoldings of spherical pedal curves




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