27 citations · 124 across the 31 of their papers we have counts for
40 papers
Rigidity and flexibility of discrete conjugate nets with flexible -subnets
Ivan Izmestiev, Georg Nawratil, Sobhan Samareh Rad +1
Discrete conjugate nets (also known as quad-surfaces) are polyhedral surfaces made of quadrilaterals connected in the combinatorics of the square grid. A generic discrete conjugate…
Discrete curvature
Ivan Izmestiev
The combination of words ``discrete curvature'' is only an apparent contradiction. In this survey we describe curvature notions associated with polygons, polyhedral surfaces, and w…
Discrete Laplacians -- spherical and hyperbolic
Ivan Izmestiev, Wai Yeung Lam
The discrete Laplacian on Euclidean triangulated surfaces is a well-established notion. We introduce discrete Laplacians on spherical and hyperbolic triangulated surfaces. On the o…
How many sprays cover the space?
Alessandro Andretta, Ivan Izmestiev
For all we show that the cardinality of is at most if and only if can be covered with sprays whos…
Prescribed curvature problem for discrete conformality on convex spherical cone-metrics
Ivan Izmestiev, Roman Prosanov, Tianqi Wu
Let be the 2-sphere and be a finite set of at least three points. We show that for each function satisfying elementary necessary condit…
Isometric Deformations of Discrete and Smooth T-surfaces
Ivan Izmestiev, Arvin Rasoulzadeh, Jonas Tervooren
Quad-surfaces are polyhedral surfaces with quadrilateral faces and the combinatorics of the square grid. A generic quad-surface is rigid. T-hedra is a class of flexible quad-surfac…