• Title/Summary/Keyword: De Bruijn Sequence

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Effective Marker Placement Method By De Bruijn Sequence for Corresponding Points Matching (드 브루인 수열을 이용한 효과적인 위치 인식 마커 구성)

  • Park, Gyeong-Mi;Kim, Sung-Hwan;Cho, Hwan-Gue
    • The Journal of the Korea Contents Association
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    • v.12 no.6
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    • pp.9-20
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    • 2012
  • In computer vision, it is very important to obtain reliable corresponding feature points. However, we know it is not easy to find the corresponding feature points exactly considering by scaling, lighting, viewpoints, etc. Lots of SIFT methods applies the invariant to image scale and rotation and change in illumination, which is due to the feature vector extracted from corners or edges of object. However, SIFT could not find feature points, if edges do not exist in the area when we extract feature points along edges. In this paper, we present a new placement method of marker to improve the performance of SIFT feature detection and matching between different view of an object or scene. The shape of the markers used in the proposed method is formed in a semicircle to detect dominant direction vector by SIFT algorithm depending on direction placement of marker. We applied De Bruijn sequence for the markers direction placement to improve the matching performance. The experimental results show that the proposed method is more accurate and effective comparing to the current method.

Generation of Finite Inductive, Pseudo Random, Binary Sequences

  • Fisher, Paul;Aljohani, Nawaf;Baek, Jinsuk
    • Journal of Information Processing Systems
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    • v.13 no.6
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    • pp.1554-1574
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    • 2017
  • This paper introduces a new type of determining factor for Pseudo Random Strings (PRS). This classification depends upon a mathematical property called Finite Induction (FI). FI is similar to a Markov Model in that it presents a model of the sequence under consideration and determines the generating rules for this sequence. If these rules obey certain criteria, then we call the sequence generating these rules FI a PRS. We also consider the relationship of these kinds of PRS's to Good/deBruijn graphs and Linear Feedback Shift Registers (LFSR). We show that binary sequences from these special graphs have the FI property. We also show how such FI PRS's can be generated without consideration of the Hamiltonian cycles of the Good/deBruijn graphs. The FI PRS's also have maximum Shannon entropy, while sequences from LFSR's do not, nor are such sequences FI random.

De Bruijn Sequence Generation Based on D-Homomorphism (D-준동형사상을 바탕으로 한 드브루인 수열 만들기)

  • Song, Iick-Ho;Park, So-Ryoung;Yoon, Seok-Ho;Kim, Hong-Gil
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.36S no.6
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    • pp.9-16
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    • 1999
  • In this paper, an efficient algorithm for generation do Lempel's D-homomorphism. This number of exclusive-or operations required to generate the next bit for de Bruijn sequences of order n from a de Bruijm function of order k is shown to be approximately $k(2^{W(n-k)}-1)$where W(r) is the number of one's in the binary representation of r: therefore, the number of required operations can reduced to k if the de Bruijn function is selected appropriately.

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Random number generation by use of de Bruijin sequence

  • Harada, Hiroshi;Kashiwagi, Hiroshi;Oguri, Kazuo
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.1033-1036
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    • 1988
  • This paper proposes a new method for generation of uniform random numbers using binary random sequences. These binary sequences are obtained from a de Bruijn sequence by random sampling method. Several statistical tests are carried out for the random numbers generated by the proposed method, and it is shown that the random numbers have good random properties.

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ON A GENERALIZED APERIODIC PERFECT MAP

  • KIM, SANG-MOK
    • Communications of the Korean Mathematical Society
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    • v.20 no.4
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    • pp.685-693
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    • 2005
  • An aperiodic perfect map(APM) is an array with the property that every array of certain size, called a window, arises exactly once as a contiguous subarray in the array. In this article, we deal with the generalization of APM in higher dimensional arrays. First, we reframe all known definitions onto the generalized n-dimensional arrays. Next, some elementary known results on arrays are generalized to propositions on n-dimensional arrays. Finally, with some devised integer representations, two constructions of infinite family of n-dimensional APMs are generalized from known 2-dimensional constructions in [7].

Integrative Comparison of Burrows-Wheeler Transform-Based Mapping Algorithm with de Bruijn Graph for Identification of Lung/Liver Cancer-Specific Gene

  • Ajaykumar, Atul;Yang, Jung Jin
    • Journal of Microbiology and Biotechnology
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    • v.32 no.2
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    • pp.149-159
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    • 2022
  • Cancers of the lung and liver are the top 10 leading causes of cancer death worldwide. Thus, it is essential to identify the genes specifically expressed in these two cancer types to develop new therapeutics. Although many messenger RNA (mRNA) sequencing data related to these cancer cells are available due to the advancement of next-generation sequencing (NGS) technologies, optimized data processing methods need to be developed to identify the novel cancer-specific genes. Here, we conducted an analytical comparison between Bowtie2, a Burrows-Wheeler transform-based alignment tool, and Kallisto, which adopts pseudo alignment based on a transcriptome de Bruijn graph using mRNA sequencing data on normal cells and lung/liver cancer tissues. Before using cancer data, simulated mRNA sequencing reads were generated, and the high Transcripts Per Million (TPM) values were compared. mRNA sequencing reads data on lung/liver cancer cells were also extracted and quantified. While Kallisto could directly give the output in TPM values, Bowtie2 provided the counts. Thus, TPM values were calculated by processing the Sequence Alignment Map (SAM) file in R using package Rsubread and subsequently in python. The analysis of the simulated sequencing data revealed that Kallisto could detect more transcripts and had a higher overlap over Bowtie2. The evaluation of these two data processing methods using the known lung cancer biomarkers concludes that in standard settings without any dedicated quality control, Kallisto is more effective at producing faster and more accurate results than Bowtie2. Such conclusions were also drawn and confirmed with the known biomarkers specific to liver cancer.