Skip to search formSkip to main content
You are currently offline. Some features of the site may not work correctly.

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… Expand
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2009
2009
During the last years, there has been increased interest in developing efficient radial basis function (RBF) algorithms to solve… Expand
  • table I
  • table III
  • table IV
Is this relevant?
2007
2007
Linear stationary subdivision rules take a sequence of input data and produce ever denser sequences of subdivided data from it… Expand
  • figure 1
  • figure 2
Is this relevant?
2006
2006
This paper develops the basic theory of conformal structures on finite subdivision rules. The work depends heavily on the use of… Expand
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2006
2006
This paper gives applications of earlier work of the authors on the use of expansion complexes for studying conformality of… Expand
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2006
2006
In this paper we describe an approach to the construction of curvature-continuous surfaces with arbitrary control meshes using… Expand
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2004
2004
AbstractOne of common problems in free-form surface modeling is how to smoothly interpolate a given curve network. In ship design… Expand
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 7
Is this relevant?
2003
2003
Suppose R is a finite subdivision rule with an edge pairing. Then the subdivision map σR is either a homeomorphism, a covering of… Expand
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2002
2002
We propose two mechanisms that can be used to generate complex geometry: generalized subdivision and mesh-based parametrized L… Expand
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2000
2000
Multi-resolution data-structures and algorithms are key in Visualization to achieve real-time interaction with large data-sets… Expand
  • figure 1
  • figure 2
  • figure 4
  • figure 5
  • figure 3
Is this relevant?
Highly Cited
1999
Highly Cited
1999
This work explores how three techniques for defining and representing curves and surfaces can be related efficiently. The… Expand
Is this relevant?