2 citations · 2 across the 4 of their papers we have counts for
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On the consistency of cell division processes
Werner Nagel, Eike Biehler
For a class of cell division processes, generating tessellations of the Euclidean space , spatial consistency is investigated. This addresses the problem whether the…
The Poisson Rain Tessellation Under Spatial Expansion and Temporal Transformation
Eike Biehler
For cell-division processes in a window, Cowan introduced four selection rules and two division rules each of which stands for one cell-division model. One of these is the area-wei…
Proofs of Two Conjectures by Mecke for Mixed Line-Generated Tessellations
Eike Biehler
For a compact and convex window, Mecke described a process of tessellations which arise from cell divisions in discrete time. At each time step, one of the existing cells is select…
A Proof of a Conjecture by Mecke for STIT tessellations
Eike Biehler
The STIT tessellation process was introduced and examined by Mecke, Nagel and Weiß; many of its main characteristics are contained in a paper published by Nagel and Weiß in 2005. I…