Abstract. We find explicit subdivision rules for all special cubulated groups. A subdivision rule for a group produces a sequence of tilings on a sphere which encode all quasi-isometric information for a group. We show how these tilings detect properties such as growth, ends, divergence, etc. We include figures of several worked out examples. 1
Abstract. Cannon and Swenson have shown that each hyperbolic 3-manifold group has a natural subdivi-...
The problem of traversal of planar subdivisions or other graph-like structures without using mark bi...
This article deals with practical conditions for tuning a subdivision scheme in order to control its...
Abstract. Cannon, Swenson, and others have proved numerous theorems about subdivision rules asso-cia...
We derive stationary subdivision rules on bi-uniform volumetric grids consisting of pairwise combina...
AbstractWe establish results on convergence and smoothness of subdivision rules operating on manifol...
Subdivision is the process of generating smooth curves or surfaces from a finite set of initial cont...
Subdivision surfaces are considered which consist of tri- or quadrilateral patches in a most regular...
Abstract. Cannon, Floyd and Parry have studied the modulus of finite subdivision rules extensively. ...
Despite the growing interest in subdivision surfaces within the computer graphics and geometric proc...
Given a non-planar graph G with a subdivision of K5 as a subgraph, we can either transform the K5-su...
We employ the theory of evolving n-gons in the study of subdivision surfaces. We show that for subdi...
After a short introduction on the fundamentals of subdivision surfaces, the more advanced material o...
Among Thurston maps (orientation-preserving, postcritically finite branched coverings of the 2-spher...
Subdivision surfaces are considered which consist of tri- or quadrilateral patches in a mostly regul...
Abstract. Cannon and Swenson have shown that each hyperbolic 3-manifold group has a natural subdivi-...
The problem of traversal of planar subdivisions or other graph-like structures without using mark bi...
This article deals with practical conditions for tuning a subdivision scheme in order to control its...
Abstract. Cannon, Swenson, and others have proved numerous theorems about subdivision rules asso-cia...
We derive stationary subdivision rules on bi-uniform volumetric grids consisting of pairwise combina...
AbstractWe establish results on convergence and smoothness of subdivision rules operating on manifol...
Subdivision is the process of generating smooth curves or surfaces from a finite set of initial cont...
Subdivision surfaces are considered which consist of tri- or quadrilateral patches in a most regular...
Abstract. Cannon, Floyd and Parry have studied the modulus of finite subdivision rules extensively. ...
Despite the growing interest in subdivision surfaces within the computer graphics and geometric proc...
Given a non-planar graph G with a subdivision of K5 as a subgraph, we can either transform the K5-su...
We employ the theory of evolving n-gons in the study of subdivision surfaces. We show that for subdi...
After a short introduction on the fundamentals of subdivision surfaces, the more advanced material o...
Among Thurston maps (orientation-preserving, postcritically finite branched coverings of the 2-spher...
Subdivision surfaces are considered which consist of tri- or quadrilateral patches in a mostly regul...
Abstract. Cannon and Swenson have shown that each hyperbolic 3-manifold group has a natural subdivi-...
The problem of traversal of planar subdivisions or other graph-like structures without using mark bi...
This article deals with practical conditions for tuning a subdivision scheme in order to control its...