1
Berry M V, Upstill C. IV Catastrophe Optics: Morphologies of Caustics and Their Diffraction Patterns[J]. Progress in Optics, 1980: 257-346.
2
Tosiyasu L Kunii · Alexander Belyaev · E V Anoshkina · S Takahashi · R Huang · Oleg G Okunev. Hierarchic shape description via singularity and multiscaling. 1994.
3
Gutierrez C, Sotomayor J, Garcia R, et al. Bifurcations of Umbilic Points and Related Principal Cycles[J]. Journal of Dynamics and Differential Equations, 2003, 16(2): 321-346.
4
Anoshkina E V, Belyaev A, Huang R, et al. Ridges and ravines on a surface and related geometry of skeletons, caustics, and wavefronts[J]. Computer Graphics, 1995: 311-326.
5
Gutierrez C R, Sotomayor J. Periodic lines of curvature bifurcating from Darbouxian umbilical connections[C]., 1990: 196-229.
6
Alexander H W. The role of the mean curvature in the immersion theory of surfaces[J]. Transactions of the American Mathematical Society, 1940, 47(2): 230-253.
7
Bell C G, Ockendon H, Ockendon J R, et al. The caustics of two- and three-dimensional parabolic reflectors[J]. Journal of Optics, 2010, 12(6).
8
Garcia R, Gutierrez C. Ovaloids of R3 and Their Umbilics: A Differential Equation Approach[J]. Journal of Differential Equations, 2000, 168(1): 200-211.
9
Allvar Gullstrand. Über Astigmatismus, Koma und Aberration. 1905.
10
Brian Smyth. NON-EXISTENCE OF ELLIPTIC SECTORS IN THE PRINCIPAL FOLIATIONS OF SURFACE THEORY. 2004.