• Title/Summary/Keyword: N-transform

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Efficient VLSI Architecture for Lifting-Based 2D Discrete Wavelet Transform Filter (리프팅 기반 2차원 이산 웨이블렛 변환 필터의 효율적인 VLSI 구조)

  • Park, Taegu;Park, Taegeun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37A no.11
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    • pp.993-1000
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    • 2012
  • In this research, we proposed an efficient VLSI architecture of the lifting-based 2D DWT (Discrete Wavelet Transform) filter with 100% hardware utilization. The (9,7) filter structure has been applied and extendable to the filter length. We proposed a new block-based scheduling that computes the DWT for the lower levels on an "as-early-as-possible" basis, which means that the calculation for the lower level will start as soon as the data is ready. Since the proposed 2D DWT computes the outputs of all levels by one row-based scan, the intermediate results for other resolution levels should be kept in storage such as the Data Format Converter (DFC) and the Delay Control Unit (DCU) until they are used. When the size of input image is $N{\times}N$ and m is the filter length, the required storage for the proposed architecture is about 2mN. Since the proposed architecture processes the 2D DWT in horizontal and vertical directions at the same time with 4 input data, the total period for 2D DWT is $N^2(1-2^{-2J})/3$.

The Optimal Implementation of Face Position Detection using Distance Transform (Distance Transform을 이용한 IR영상의 실시간 얼굴 위치 검출 최적화 알고리즘 구현)

  • Park, In-Chul;Kim, Seung-Mi;Ryu, Hyun-Ki;Lee, Heng-Suk
    • Proceedings of the Korean Information Science Society Conference
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    • 2012.06a
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    • pp.191-193
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    • 2012
  • 본 논문은 차량용 스마트에어백 시스템이 탑승자의 머리 위치를 파악하여 지능적으로 에어백을 전개하도록 돕기 위한 얼굴 위치 검출 알고리즘을 제안한다. 차량용 임베디드 시스템은 한정된 자원에서 기능을 동작시키기 때문에 여러 가지 구현상 제한 조건들이 존재한다. 이러한 제한 조건들을 만족시키기 위해 알고리즘의 경량화 및 최적화 작업이 수반 되어져야한다. 제안하는 알고리즘에서는 이진화된 오브젝트에 거리변환(Distance Transform)을 사용하여 사람의 형태학적 모양을 분석/판단한다. 그리하여 얼굴의 위치를 검출하는 방법이다. 여러 가지 배경 상황에 관계없이 사람의 형태학적 모습을 이용하므로 사람 형태 검출에 용이하다. 설계된 알고리즘은 TI사의 TMS320DM6437 EVM 보드에서 구현하였고 구현 결과 제안한 알고리즘이 IR 영상에서 높은 인식률 및 빠른 처리 속도를 보임을 확인할 수 있었다.

Orthogonal Integer Transform (직교 정수형 변환)

  • 이종하;곽훈성
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.1
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    • pp.64-71
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    • 1994
  • In this paper, we propose orthogonal integer transform(OIT) with general form. Considering the orthogonality and magnitude value order of the DCT Matrix whose performance is found to be close to that of the KLT, known to be optimal. The proposed OIT matrix is composed of values minimizing Hibert-Schmidt norm among integer values which satisfy the condition of orthogonality and the relative magnitudes of the DCT matrix. Comparing the OIT with the DCT, CMT, and ICT in error characteristics, transform efficiency, and maximum reducible bit, it is shown that the performance of the OIT compares more closely to that of the KLT relative to the performances of the DCT, CMT, and ICT when N=8.

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INTERACTION BETWEEN THREE MOVING GRIFFITH CRACKS AT THE INTERFACE OF TWO DISSIMILAR ELASTIC MEDIA

  • Das, S.;Patra, B.;Debnath, L.
    • Journal of applied mathematics & informatics
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    • v.8 no.1
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    • pp.59-69
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    • 2001
  • The paper deals with the interaction between three Griffith cracks propagating under antiplane shear stress at the interface of two dissimilar infinite elastic half-spaces. The Fourier transform technique is used to reduce the elastodynamic problem to the solution of a set of integral equations which has been solved by using the finite Hilbert transform technique and Cooke’s result. The analytical expressions for the stress intensity factors at the crack tips are obtained. Numerical values of the interaction efect have been computed for and results show that interaction effects are either shielding or amplification depending on the location of each crack with respect to other and crack tip spacing. AMS Mathematics Subject Classification : 73M25.

TRANSLATION THEOREMS FOR THE ANALYTIC FOURIER-FEYNMAN TRANSFORM ASSOCIATED WITH GAUSSIAN PATHS ON WIENER SPACE

  • Chang, Seung Jun;Choi, Jae Gil
    • Journal of the Korean Mathematical Society
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    • v.55 no.1
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    • pp.147-160
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    • 2018
  • In this article, we establish translation theorems for the analytic Fourier-Feynman transform of functionals in non-stationary Gaussian processes on Wiener space. We then proceed to show that these general translation theorems can be applied to two well-known classes of functionals; namely, the Banach algebra S introduced by Cameron and Storvick, and the space ${\mathcal{B}}^{(P)}_{\mathcal{A}}$ consisting of functionals of the form $F(x)=f({\langle}{\alpha}_1,x{\rangle},{\ldots},{\langle}{\alpha}_n,x{\rangle})$, where ${\langle}{\alpha},x{\rangle}$ denotes the Paley-Wiener-Zygmund stochastic integral ${\int_{0}^{T}}{\alpha}(t)dx(t)$.

ITERATES OF WEIGHTED BEREZIN TRANSFORM UNDER INVARIANT MEASURE IN THE UNIT BALL

  • Lee, Jaesung
    • Korean Journal of Mathematics
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    • v.28 no.3
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    • pp.449-457
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    • 2020
  • We focus on the interations of the weighted Berezin transform Tα on Lp(τ), where τ is the invariant measure on the complex unit ball Bn. Iterations of Tα on L1R(τ) the space of radial integrable functions played important roles in proving 𝓜-harmonicity of bounded functions with invariant mean value property. Here, we introduce more properties on iterations of Tα on L1R(τ) and observe differences between the iterations of Tα on L1(τ) and Lp(τ) for 1 < p < ∞.

Improving Forecast Accuracy of Wind Speed Using Wavelet Transform and Neural Networks

  • Ramesh Babu, N.;Arulmozhivarman, P.
    • Journal of Electrical Engineering and Technology
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    • v.8 no.3
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    • pp.559-564
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    • 2013
  • In this paper a new hybrid forecast method composed of wavelet transform and neural network is proposed to forecast the wind speed more accurately. In the field of wind energy research, accurate forecast of wind speed is a challenging task. This will influence the power system scheduling and the dynamic control of wind turbine. The wind data used here is measured at 15 minute time intervals. The performance is evaluated based on the metrics, namely, mean square error, mean absolute error, sum squared error of the proposed model and compared with the back propagation model. Simulation studies are carried out and it is reported that the proposed model outperforms the compared model based on the metrics used and conclusions were drawn appropriately.

Dynamic and Static End-milling Force Analysis According to Workpiece Geometry (가공물 형상에 따른 동적 및 정적 절삭력 성분 분석법)

  • Yang, Jae-Yong;Yoon, Moon-Chul;Kim, Byung-Tak
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.11 no.4
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    • pp.13-19
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    • 2012
  • There are many dynamic properties in measured end-milling force. So, it is difficult to predict the real static property of end-milling force. Also the behavior of end-milling force is very complex to predict with the measured one. To extract the static property from measured force, it must be filtered and its problem is closely related to a de-noising one. Also this paper presents alternative de-noising method of end-milling force using wavelet filter bank, based on the wavelet transform and its inverse one. In this paper, by comparing the measured force and its wavelet filtered one, the fundamental end-milling force property after wavelet transform is well reviewed and analyzed. This result of wavelet filtering with filter bank shows the static force of end-milling which has severe dynamic properties occurring in entry and exit state of edge emersion into the workpiece.

Design of PC-based CR-PACS using Multiresolution Wavelet Transform (Multiresolution Wavelet Transform을 이용한 Small PACS의 설계)

  • Kim, K.M.;Yoo, S.K.;Kim, N.H.;Huh, J.M.;Kim, E.J.
    • Proceedings of the KOSOMBE Conference
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    • v.1997 no.11
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    • pp.184-187
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    • 1997
  • Small PACS based on a personal computer or CR has initially been designed to improve the performance of cost-effective PACS implementation. In that system, Wavelet compression scheme is newly adopted to store images hierarchically to storage unit, and retrieve and display images progressively or display workstation. In this compression method, image is decomposed into subclasses of image by wavelet transform, and then the subclasses of image are vector quantized using a multiresolution codebook.

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A Pyramid Data Structure for Progressive Lossless Image Transmission (무손실 점진적 영상 전송을 위한 피라미드 데이터 구조에 관한 연구)

  • 안재훈;정호열;최태영
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.30B no.6
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    • pp.49-58
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    • 1993
  • Extended reduced difference pyramid (ERDP) is proposed for lossless progressive image transmission, which is based on a new transform called rounded-transform(RT). The RT is a nonlinear and reversible transform of integers into integers utilizing two kinds of the rounding operations such as round up and down. The ERDP can be obtained from an N-poing RT or a series of RTs of both. For the performance evaluation, the entropy of the difference images to be transmitted is used as a lower bound transmission rate. Two examples of the ERDP can be easily shown, which is more effective in the entropy than the ordinary RDP.

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