Discrete Riemann surfaces, linear and non-linear

TL;DR

This paper presents a comprehensive overview of discrete conformal parameterization, focusing on circle patterns and their linearized theory, highlighting key results and ideas in the field.

Contribution

It provides a detailed presentation of the theory of discrete conformal parameterization through circle patterns and introduces its linearized version, advancing understanding in the area.

Findings

Key results on discrete conformal parameterization

Development of linearized theory for circle patterns

Insights into principal ideas of the field

Abstract

3 pages presentation of the theory of discrete conformal parameterization using circle patterns or its linearized theory. Principal results and ideas.