Bobenko, Alexander I.; Sechelmann, Stefan; Springborn, Boris (2016)
We discuss several extensions and applications of the theory of discretely conformally equivalent triangle meshes (two meshes are considered conformally equivalent if corresponding edge lengths are...Discrete complex analysis on planar Quad-graphs
Bobenko, Alexander I.; Günther, Felix (2016)
We develop further a linear theory of discrete complex analysis on general quad-graphs, extending previous work of Duffin, Mercat, Kenyon, Chelkak and Smirnov on discrete complex analysis on rhombi...S-conical CMC surfaces. Towards a unified zheory of discrete surfaces with constant mean curvature
Bobenko, Alexander I.; Hoffmann, Tim (2016)
We introduce a novel class of s-conical nets and, in particular, study s-conical nets with constant mean curvature. Moreover we give a unified description of nets of various types: circular, conica...