420 citations · 1.3k across the 61 of their papers we have counts for
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Discrete Koenigs nets and discrete isothermic surfaces
Alexander I. Bobenko, Yuri B. Suris
We discuss discretization of Koenigs nets (conjugate nets with equal Laplace invariants) and of isothermic surfaces. Our discretization is based on the notion of dual quadrilateral…
Surfaces from Circles
Alexander I. Bobenko
In the search for appropriate discretizations of surface theory it is crucial to preserve such fundamental properties of surfaces as their invariance with respect to transformation…
Curvature line parametrization from circle patterns
A. I. Bobenko, S. P. Tsarev
We study local and global approximations of smooth nets of curvature lines and smooth conjugate nets by respective discrete nets (circular nets and planar quadrilateral nets) with…
Discrete nonlinear hyperbolic equations. Classification of integrable cases
Vsevolod E. Adler, Alexander I. Bobenko, Yuri B. Suris
We consider discrete nonlinear hyperbolic equations on quad-graphs, in particular on the square lattice. The fields are associated to the vertices and an equation Q(x_1,x_2,x_3,x_4…