Invariants of parameterized binary tree networks as greatest fixpoints

1997 ◽  
pp. 337-350 ◽  
Author(s):  
David Lesens
Keyword(s):  
Binary Tree ◽  
Tree Networks

scholarly journals Computation on binary tree-networks

1986 ◽  
Vol 14 (3) ◽  
pp. 295-310 ◽  
Author(s):  
Maurice Tchuente
Keyword(s):  
Binary Tree ◽  
Tree Networks

scholarly journals Side Tributary Distribution of Quasi-Uniform Iterative Binary Tree Networks for River Networks

2022 ◽  
Vol 9 ◽  
Author(s):  
Keyi Wang ◽  
Li Zhang ◽  
Tiejian Li ◽  
Xiang Li ◽  
Biyun Guo ◽  
...  
Keyword(s):  
Binary Tree ◽  
Iterative Process ◽  
Statistical Data ◽  
River Networks ◽  
Self Similarity ◽  
Intrinsic Structure ◽  
Tree Networks ◽  
Natural Rivers ◽  
Structure Properties

Self-similarity and plane-filling are intrinsic structure properties of natural river networks. Statistical data indicates that most natural river networks are Tokunaga trees. Researchers have explored to use iterative binary tree networks (IBTNs) to simulate natural river networks. However, the characteristics of natural rivers such as Tokunaga self-similarity and plane-filling cannot be easily guaranteed by the configuration of the IBTN. In this paper, the generator series and a quasi-uniform iteration rule are specified for the generation of nonstochastic quasi-uniform iterative binary tree networks (QU-IBTNs). First, we demonstrate that QU-IBTNs definitely satisfy self-similarity. Second, we show that the constraint for a QU-IBTN to be a Tokunaga tree is that the exterior links must be replaced in the generator series with a neighboring generator that is larger than the interior links during the iterative process. Moreover, two natural river networks are examined to reveal the inherent consistency with QU-IBTN at low Horton-Strahler orders.

scholarly journals Dense Convolutional Binary-Tree Networks for Lung Nodule Classification

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 49080-49088 ◽  
Author(s):  
Yijing Liu ◽  
Pengyi Hao ◽  
Peng Zhang ◽  
Xinnan Xu ◽  
Jian Wu ◽  
...  
Keyword(s):  
Binary Tree ◽  
Lung Nodule ◽  
Tree Networks ◽  
Nodule Classification

Adaptation Algorithms for Binary Tree Networks

1979 ◽  
Vol 9 (5) ◽  
pp. 276-285 ◽  
Author(s):  
William W. Armstrong ◽  
Jan Gecsei
Keyword(s):  
Binary Tree ◽  
Tree Networks

Seamless terrain rendering method based on binary tree and GPU

2013 ◽  
Vol 32 (9) ◽  
pp. 2548-2552
Author(s):  
Wei CAO ◽  
Guang-yao DUAN
Keyword(s):  
Binary Tree ◽  
Terrain Rendering
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