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Limit sets of automatic sequences
The authors study the limit sets of multidimensional automatic sequences. For a finite set with a distinguished element \(s_0\), consider an \(\ell\)-dimensional sequence \(f\) in \(S^{\mathbb{N}^\ell}\). A sequence \((t_n)\in\mathbb{N}^{\mathbb{N}}\) is a scaling sequence, if \(({1\over t_n} X(f,t_n))\) is a Cauchy sequence with respect to the ...
Barbé, A, von Haeseler, F
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On the boundary sequence of an automatic sequence
A `boundary' of a word \(w_i\cdots w_{i+n}\) over a finite alphabet is the word \(w_iw_{i+n}\), and the set of all boundaries of words of length \(n+1\) appearing in a sequence \(w=w_1w_2\cdots\) is denoted \(\partial_{w}(n)\), giving a `boundary sequence' \((\partial_w(n))_{n\ge 1}\) associated to \(w\). \textit{J. Chen} and \textit{Z.-X. Wen} [Theor.
Yingjun Guo, Xiao-Tao Lü, Zhi-Xiong Wen
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Complexity of automatic sequences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zantema, H., Bosma, W.
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Automatic sequences of rank two
Given a right-infinite word x over a finite alphabetA, therankof x is the size of the smallest setSof words overAsuch that x can be realized as an infinite concatenation of words inS. We show that the property of having rank two is decidable for the class ofk-automatic words for each integerk≥ 2.
Jason P. Bell, Jeffrey O. Shallit
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On multiplicative automatic sequences [PDF]
We show that any automatic multiplicative sequence either coincides with a Dirichlet character or is identically zero when restricted to integers not divisible by small primes. This answers a question of Bell, Bruin and Coons. A similar result was obtained independently by Klurman and Kurlberg.
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AUTOMATIC ISOLATION OF BLURRED IMAGES FROM UAV IMAGE SEQUENCES [PDF]
Unmanned aerial vehicles (UAV) have become an interesting and active research topic for photogrammetry. Current research is based on images acquired by an UAV, which have a high ground resolution and good spectral and radiometrical resolution, due to ...
T. Sieberth, R. Wackrow, J. H. Chandler
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NETWORK ADJUSTMENT OF AUTOMATIC RELATIVE ORIENTATION FROM IMAGE SEQUENCES [PDF]
Recently, Visual Odometry (VO) using cameras for navigation is known as an alternative solution in GNSS-hostile environments. VO is a process of estimating the egomotion based on consecutive frames captured by the camera. 3D Motion including the attitude
C. C. Lin +3 more
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Automatic sequences based on Parry or Bertrand numeration systems [PDF]
peer reviewedWe study the factor complexity and closure properties of automatic sequences based on Parry or Bertrand numeration systems. These automatic sequences can be viewed as generalizations of the more typical k-automatic sequences and Pisot ...
Jarkko Peltomäki +5 more
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Detection of surface defects in welded joints during visual inspections using machine vision methods
We discuss a problem of automatic defect detection in welded joints of stainless steel pipes in the production process. Possible defects that occur during tungsten inert gas welding are shown.
M.G. Yemelyanova +2 more
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Background and purpose: Magnetic Resonance Imaging (MRI) is widely used in oncology for tumor staging, treatment response assessment, and radiation therapy (RT) planning.
Hafiz Muhammad Fahad +3 more
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