26 citations · 41 across the 5 of their papers we have counts for
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math.DG2007★ 5 cited
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…
math.DG2006★ 26 cited
Isothermic surfaces in sphere geometries as Moutard nets
Alexander I. Bobenko, Yuri B. Suris
We give an elaborated treatment of discrete isothermic surfaces and their analogs in different geometries (projective, Möbius, Laguerre, Lie). We find the core of the theory to be…
math.DG2003
Discrete and smooth orthogonal systems: -approximation
A. I. Bobenko, D. Matthes, Yu. B. Suris
Discrete conjugate systems are quadrilateral nets with all planar faces. Discrete orthogonal systems are defined by the additional property of all faces being concircular. Their ge…