• Title/Summary/Keyword: wavelet representation

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Representation of Wavelet Transform using a Matrix Form and Its Implementation

  • Kurosaki, Masayuki;Nishikawa, Kiyoshi;Kiya, Hitoshi
    • Proceedings of the IEEK Conference
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    • 2000.07a
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    • pp.282-285
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    • 2000
  • Three representations are known to implement the discrete wavelet transform (DWT) ; i.e., direct, lifting and matrix forms. In these representations, direct and lifting forms are well known so far. This paper derives the matrix form of the DWT from the direct form. Then, we implement these three representations on a programmable digital signal processor (in the following, DSP processor) and compare them in terms of the number of calculations and instruction cycles. As a result, we confirm that the lifting form has the lowest number of calculations and cycles, and the matrix form has an effective decrease in the number of cycles than other representations on the DSP processor.

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A Study on High Impedance Fault Detection using Wavelet Transform and Chaos Properties (웨이브릿 변환과 카오스 특성을 이용한 고저항 지락사고 검출에 관한 연구)

  • Hong, Dae-Seung;Yim, Hwa-Yeong
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2525-2527
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    • 2000
  • The analysis of distribution line faults is essential to the proper protection of power system. A high impedance fault(HIF) dose not make enough current to cause conventional protective device operating, so it is well known that undesirable operating conditions and certain types of faults on electric distribution feeders cannot be detected by using conventional protection system. In this paper, we prove that the nature of the high impedance faults is indeed a deterministic chaos, not a random motion. Algorithms for estimating Lyapunov spectrum and the largest Lyapunov exponent are applied to various fault currents detections in order to evaluate the orbital instability peculiar to deterministic chaos dynamically, and fractal dimensions of fault currents which represent geometrical self-similarity are calculated. Wavelet transform analysis is applied the time-scale information to fault signal. Time-scale representation of high impedance faults can detect easily and localize correctly the fault waveform.

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An Efficient Representation of Edge Shapes in Topological Maps

  • Doh, Nakju Lett;Chung, Wan-Kyun
    • ETRI Journal
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    • v.29 no.5
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    • pp.655-666
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    • 2007
  • There are nodes and edges in a topological map. Node data has been used as a main source of information for the localization of mobile robots. In contrast, edge data is regarded as a minor source of information, and it has been used in an intuitive and heuristic way. However, edge data also can be used as a good source of information and provide a way to use edge data efficiently. For that purpose, we define a data format which describes the shape of an edge. This format is called local generalized Voronoi graph's angle (LGA). However, the LGA is constituted of too many samples; therefore, real time localization cannot be performed. To reduce the number of samples, we propose a compression method which utilizes wavelet transformation. This method abstracts the LGA by key factors using far fewer samples than the LGA. Experiments show that the LGA accurately describes the shape of the edges and that the key factors preserve most information of the LGA while reducing the number of samples.

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Face Recognition Based on PCA on Wavelet Subband of Average-Half-Face

  • Satone, M.P.;Kharate, G.K.
    • Journal of Information Processing Systems
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    • v.8 no.3
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    • pp.483-494
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    • 2012
  • Many recent events, such as terrorist attacks, exposed defects in most sophisticated security systems. Therefore, it is necessary to improve security data systems based on the body or behavioral characteristics, often called biometrics. Together with the growing interest in the development of human and computer interface and biometric identification, human face recognition has become an active research area. Face recognition appears to offer several advantages over other biometric methods. Nowadays, Principal Component Analysis (PCA) has been widely adopted for the face recognition algorithm. Yet still, PCA has limitations such as poor discriminatory power and large computational load. This paper proposes a novel algorithm for face recognition using a mid band frequency component of partial information which is used for PCA representation. Because the human face has even symmetry, half of a face is sufficient for face recognition. This partial information saves storage and computation time. In comparison with the traditional use of PCA, the proposed method gives better recognition accuracy and discriminatory power. Furthermore, the proposed method reduces the computational load and storage significantly.

Depth From Defocus using Wavelet Transform (웨이블릿 변환을 이용한 Depth From Defocus)

  • Choi, Chang-Min;Choi, Tae-Sun
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.42 no.5 s.305
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    • pp.19-26
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    • 2005
  • In this paper, a new method for obtaining three-dimensional shape of an object by measuring relative blur between images using wavelet analysis has been described. Most of the previous methods use inverse filtering to determine the measure of defocus. These methods suffer from some fundamental problems like inaccuracies in finding the frequency domain representation, windowing effects, and border effects. Besides these deficiencies, a filter, such as Laplacian of Gaussian, that produces an aggregate estimate of defocus for an unknown texture, can not lead to accurate depth estimates because of the non-stationary nature of images. We propose a new depth from defocus (DFD) method using wavelet analysis that is capable of performing both the local analysis and the windowing technique with variable-sized regions for non-stationary images with complex textural properties. We show that normalized image ratio of wavelet power by Parseval's theorem is closely related to blur parameter and depth. Experimental results have been presented demonstrating that our DFD method is faster in speed and gives more precise shape estimates than previous DFD techniques for both synthetic and real scenes.

A Fast Processing Algorithm for Lidar Data Compression Using Second Generation Wavelets

  • Pradhan B.;Sandeep K.;Mansor Shattri;Ramli Abdul Rahman;Mohamed Sharif Abdul Rashid B.
    • Korean Journal of Remote Sensing
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    • v.22 no.1
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    • pp.49-61
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    • 2006
  • The lifting scheme has been found to be a flexible method for constructing scalar wavelets with desirable properties. In this paper, it is extended to the UDAR data compression. A newly developed data compression approach to approximate the UDAR surface with a series of non-overlapping triangles has been presented. Generally a Triangulated Irregular Networks (TIN) are the most common form of digital surface model that consists of elevation values with x, y coordinates that make up triangles. But over the years the TIN data representation has become an important research topic for many researchers due its large data size. Compression of TIN is needed for efficient management of large data and good surface visualization. This approach covers following steps: First, by using a Delaunay triangulation, an efficient algorithm is developed to generate TIN, which forms the terrain from an arbitrary set of data. A new interpolation wavelet filter for TIN has been applied in two steps, namely splitting and elevation. In the splitting step, a triangle has been divided into several sub-triangles and the elevation step has been used to 'modify' the point values (point coordinates for geometry) after the splitting. Then, this data set is compressed at the desired locations by using second generation wavelets. The quality of geographical surface representation after using proposed technique is compared with the original UDAR data. The results show that this method can be used for significant reduction of data set.

A Study on the Data Compression Algorithm for Just-in-Time Rendering of Concentric Mosaic (동심원 모자이크의 실시간 표현을 위한 데이터 압축 알고리즘에 관한 연구)

  • Jee, Inn-Ho;Ahn, Hong-Yeoung
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.10 no.1
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    • pp.91-96
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    • 2010
  • Concentric mosaics are made with arranging and summing of video frames by using common spacial standards. Compared with previous works on 3-D wavelet transform coding, we have made important design considerations to enable flexible partial decoding and bit-stream random access. A just-in-time(JIT) rendering engine of the compressed concentric mosaic is developed. However, computationally, it is still demanding to accomplish the real-time rendering. Only the contents for specific scene representation are need to be decoded by maintaining compressed data. Thus our proposed algorithm is able to render real concentric mosaic by using lifting scheme instead of wavelet transform.

Calculus of the defect severity with EMATs by analysing the attenuation curves of the guided waves

  • Gomez, Carlos Q.;Garcia, Fausto P.;Arcos, Alfredo;Cheng, Liang;Kogia, Maria;Papelias, Mayorkinos
    • Smart Structures and Systems
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    • v.19 no.2
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    • pp.195-202
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    • 2017
  • The aim of this paper is to develop a novel method to determine the severity of a damage in a thin plate. This paper presents a novel fault detection and diagnosis approach employing a new electromagnetic acoustic transducer, called EMAT, together with a complex signal processing method. The method consists in the recognition of a fault that exists within the structure, the fault location, i.e. the identification of the geometric position of damage, and the determining the significance of the damage, which indicates the importance or severity of the defect. The main scientific novelties presented in this paper is: to develop of a new type of electromagnetic acoustic transducer; to incorporate wavelet transforms for signal representation enhancements; to investigate multi-parametric analysis for noise identification and defect classification; to study attenuation curves properties for defect localization improvement; flaw sizing and location algorithm development.

A STORAGE AND RETRIEVAL SYSTEM FOR LARGE COLLECTIONS OF REMOTE SENSING IMAGES

  • Kwak Nohyun;Chung Chin-Wan;Park Ho-hyun;Lee Seok-Lyong;Kim Sang-Hee
    • Proceedings of the KSRS Conference
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    • 2005.10a
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    • pp.763-765
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    • 2005
  • In the area of remote sensing, an immense number of images are continuously generated by various remote sensing systems. These images must then be managed by a database system efficient storage and retrieval. There are many types of image database systems, among which the content-based image retrieval (CBIR) system is the most advanced. CBIR utilizes the metadata of images including the feature data for indexing and searching images. Therefore, the performance of image retrieval is significantly affected by the storage method of the image metadata. There are many features of images such as color, texture, and shape. We mainly consider the shape feature because shape can be identified in any remote sensing while color does not always necessarily appear in some remote sensing. In this paper, we propose a metadata representation and storage method for image search based on shape features. First, we extend MPEG-7 to describe the shape features which are not defined in the MPEG-7 standard. Second, we design a storage schema for storing images and their metadata in a relational database system. Then, we propose an efficient storage method for managing the shape feature data using a Wavelet technique. Finally, we provide the performance results of our proposed storage method.

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A Study of Video Coding Based on a Morphological Representation of Wavelet Data (웨이블릿 데이터의 형태적 표현을 적용한 동영상 코딩에 관한 연구)

  • 김혜경;오해석
    • Proceedings of the Korean Information Science Society Conference
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    • 2000.10b
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    • pp.541-543
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    • 2000
  • 영역의 수와 윤곽선의 길이는 세그멘테이션 기반의 움직임 보상된 비디오 코딩에서 두 가지의 기본적인 제약사항이다. 이 논문에서 제안하는 코딩 스킴은 영역의 수를 축소하는 것에 초점을 맞추고, 윤곽성 코딩, 그리고 치환된 프레임 차이(DFD)의 압축에 초점을 맞춘다. 제안된 스킴의 가장 중요한 특징 중의 하나는 형태적인 필터를 기반으로 하는 spatio-temporal 단순성 알고리즘이고, 그것들과 함께 이미지는 작은 수의 영역으로 나누어질 수 있다. 이 스킴의 매우 중요한 특성은 세그멘테이션 맵 샘플링 기법으로, 그것은 윤곽선 길이를 매우 작은 복원 에러에 비례하여 약 50%까지 줄인다. 실험적인 결과는, 높은 압축 비율에 대하여 매우 작은 코딩 에러를 보여주었다.

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