Finite subdivision rule

Known as: Finite subdivision rules, Cannon's conjecture, Combinatorial Riemann mapping theorem

In mathematics, a finite subdivision rule is a recursive way of dividing a polygon or other two-dimensional shape into smaller and smaller pieces…

Papers overview

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2018

This paper introduces a novel Loop subdivision method, which produces a C1 continuity surface including boundaries and creases…

2017

This paper shows that every Gromov hyperbolic group can be described by a finite subdivision rule acting on the 3-sphere. This…

2015

Finite subdivision rules in high dimensions can be difficult to visualize and require complex topological structures to be…

2013

We find explicit subdivision rules for all special cubulated groups. A subdivision rule for a group produces a sequence of…

2013

The conical algorithm is a global optimization algorithm proposed by Tuy in 1964 to solve concave minimization problems…

2012

In this article, a novel hull subdivision method is presented. Hull subdivision is a process to subdivide the hull shape into…

2006

2001

The fat flow modulus is a discrete version of the classical conformal modulus; one can use it to classify triangulations of half…

1998

In this paper, we present convexity-preserving subdivision schemes which are the dual of Chaikin's as well Doo-Sabin's schemes…

1996

Trimmer Class STrimmer is the abstract base surface trimmer class. For every refinement level it defines the trimming of a…