Binary Images and Inhomogeneous Tree-Indexed Markov Chains

机译：二值图像和非齐次树索引马尔可夫链

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Binary images are produced in large amounts in modern digital society, eitherdirectly or derived from grey value or color images. In case one disposes of a large collection of images representing the same object or scene, one would like to talk about a 'typical' image, or more generally view the images as realizations of a 'random' image. A way to accomplish this is to randomize the construction of the corresponding quadtree. A natural manner to randomly label a tree is by tree-indexed Markov chains whose states are labels or colors. This is described in Section 2. In Section 3, we consider the estimation of the parameters of tree-indexed Markov chain from data. In Section 4, we apply this to a data set consisting of 147 CT-scans of transaxial lung-slices.

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Dekking, F. M.; Kraaikamp, C.; Schouten, J. G.;
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年度 1996
页码 1-19
总页数 19
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Markov chains; Pixels; Image processing; Binary processors; Trees(Mathematics); Black(Color); White(Color); Gray(Color); Algorithms; Theorems; Theorem proving;

机译：马尔可夫链;像素;图像处理;二进制处理器;树（数学）;黑色（彩色）;白色（彩色）;灰色（彩色）;算法;定理;定理证明;

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1. Conditional entropy, entropy density, and strong law of large numbers for generalized controlled tree-indexed Markov chains [J] . Peng Weicai Communications in Statistics . 2017,第23a24期

机译：条件熵，熵密度和广义控树索引马尔可夫链的大量大量规律
2. The definition of tree-indexed Markov chains in random environment and their existence [J] . Shi Zhiyan, Yang Weiguo Communications in Statistics . 2017,第15a16期

机译：随机环境中树索引的马尔可夫链条的定义及其存在
3. Random fractals and tree-indexed Markov chains [J] . Durand A. Revista matematica iberoamericana . 2009,第3期

机译：随机分形和树索引马尔可夫链
4. Synthesis and simulation of digital images by tree-indexed Markov chains [C] . Frederik M. Dekking, Delft Univ. of Technology, Delft, Digital Image Recovery and Synthesis IV . 1999

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5. Time-Inhomogeneous Quantum Markov Chains [D] . ?Chou, Chia-Han 2020

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6. Some limit properties for a hidden inhomogeneous Markov chain [O] . Yun Dong, Fang-qing Ding, Qi-feng Yao -1

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7. Random fractals and tree-indexed Markov chains [O] . Durand, Arnaud 2007

机译：随机分形和树索引马尔可夫链

Binary Images and Inhomogeneous Tree-Indexed Markov Chains

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