3 papers
cs.CG2025
A gradient descent algorithm for computing circle patterns
Te Ba, Ze Zhou
This paper presents a new algorithm for generating planar circle patterns. The algorithm employs gradient descent and conjugate gradient method to compute circle radii and centers…
math.CO2025
Morse theory and moduli spaces of simple polylines and polygons
Te Ba, Ze Zhou
We prove that a smooth -manifold is diffeomorphic to if it admits a Lyapunov-Reeb function, i.e., a smooth map that is proper, lower-bo…
math.MG2015
Intersection number and the stability of some inscribable graphs
Jinsong Liu, Ze Zhou
A planar graph is inscribable if it is combinatorial equivalent to the skeleton of a polyhedra which is inscribed in a sphere. For an inscribable graph, in its combinatorial equiva…