Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleCaustics of convex curves.AuthorsGounai, Hiro; Umehara, MasaakiAbstractIt is well-known that the focal set (i.e. the image of the caustic) of a given convex closed curve γ admits singular points. In this paper, we classify the diffeomorphic type of focal sets of convex curves which admit at most four cusps.SubjectsCAUSTICS (Optics); CURVES; CONVEX geometry; SET theory; MATHEMATICAL singularities; DIFFEOMORPHISMS; CUSP forms (Mathematics)PublicationJournal of Knot Theory & Its Ramifications, 2014, Vol 23, Issue 10, p-1ISSN0218-2165Publication typeArticleDOI10.1142/S0218216514500503