Haar Wavelet

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H.-c. Lai - One of the best experts on this subject based on the ideXlab platform.

  • Identification of linear time varying systems by Haar Wavelet
    International Journal of Systems Science, 2006
    Co-Authors: Shyh-leh Chen, H.-c. Lai
    Abstract:

    This study addresses the identification of linear time varying systems. The identification is based on the expansion of all time functions in the state equations by Haar Wavelets. The unknown time function can thus be identified in terms of Haar Wavelets. A Haar Wavelet is a set of complete, orthogonal basis and is easy to use computations. Several good properties of Haar Wavelets are utilized in the algorithm. Both numerical and experimental results verify the analysis.

Shyh-leh Chen - One of the best experts on this subject based on the ideXlab platform.

  • Identification of linear time varying systems by Haar Wavelet
    International Journal of Systems Science, 2006
    Co-Authors: Shyh-leh Chen, H.-c. Lai
    Abstract:

    This study addresses the identification of linear time varying systems. The identification is based on the expansion of all time functions in the state equations by Haar Wavelets. The unknown time function can thus be identified in terms of Haar Wavelets. A Haar Wavelet is a set of complete, orthogonal basis and is easy to use computations. Several good properties of Haar Wavelets are utilized in the algorithm. Both numerical and experimental results verify the analysis.

Xiaolong Zhou - One of the best experts on this subject based on the ideXlab platform.

  • rotating adaptive Haar Wavelet transform for human tracking in thermal omnidirectional vision
    International Conference on Multisensor Fusion and Integration for Intelligent Systems, 2012
    Co-Authors: Yazhe Tang, Tianxiang Bai, Xiaolong Zhou
    Abstract:

    In this paper, a novel surveillance system, thermal omnidirectional vision system, is introduced which is robust to illumination and has a global field of view. According to the characteristic of the proposed system, a rotating adaptive Haar Wavelet transform is developed for human tracking in thermal omnidirectional vision. The proposed feature can effectively handle the nonisotropic distortion of catadioptric omnidirectional vision (COV). For robust tracking, we develop a rotational kinematic model based adaptive particle filter, which can handle various movements including rapid movement. Since the involvement of the rotational kinematic model, the proposed tracking algorithm can well deal with the short term occlusion. Finally, a series of experiments verify the effectiveness of the proposed rotating adaptive Haar Wavelet transform and the rotational kinematic model based adaptive particle filter for human tracking in thermal omnidirectional vision.

  • MFI - Rotating adaptive Haar Wavelet transform for human tracking in thermal omnidirectional vision
    2012 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI), 2012
    Co-Authors: Yazhe Tang, Tianxiang Bai, Xiaolong Zhou
    Abstract:

    In this paper, a novel surveillance system, thermal omnidirectional vision system, is introduced which is robust to illumination and has a global field of view. According to the characteristic of the proposed system, a rotating adaptive Haar Wavelet transform is developed for human tracking in thermal omnidirectional vision. The proposed feature can effectively handle the nonisotropic distortion of catadioptric omnidirectional vision (COV). For robust tracking, we develop a rotational kinematic model based adaptive particle filter, which can handle various movements including rapid movement. Since the involvement of the rotational kinematic model, the proposed tracking algorithm can well deal with the short term occlusion. Finally, a series of experiments verify the effectiveness of the proposed rotating adaptive Haar Wavelet transform and the rotational kinematic model based adaptive particle filter for human tracking in thermal omnidirectional vision.

P Mutalik B Desai - One of the best experts on this subject based on the ideXlab platform.

  • Haar Wavelet collocation method for the numerical solution of singular initial value problems
    Ain Shams Engineering Journal, 2016
    Co-Authors: S C Shiralashetti, A B Deshi, P Mutalik B Desai
    Abstract:

    Abstract In this paper, numerical solutions of singular initial value problems are obtained by the Haar Wavelet collocation method (HWCM). The HWCM is a numerical method for solving integral equations, ordinary and partial differential equations. To show the efficiency of the HWCM, some examples are presented. This method provides a fast convergent series of easily computable components. The errors of HWCM are also computed. Through this analysis, the solution is found on the coarse grid points and then converging toward higher accuracy by increasing the level of the Haar Wavelet. Comparisons with exact and existing numerical methods (adomian decomposition method (ADM) & variational iteration method (VIM)) solutions show that the HWCM is a powerful numerical method for the solution of the linear and non-linear singular initial value problems. The Haar Wavelet adaptive grid method (HWAGM) based solutions show the excellent performance for the proposed problems.

Yazhe Tang - One of the best experts on this subject based on the ideXlab platform.

  • rotating adaptive Haar Wavelet transform for human tracking in thermal omnidirectional vision
    International Conference on Multisensor Fusion and Integration for Intelligent Systems, 2012
    Co-Authors: Yazhe Tang, Tianxiang Bai, Xiaolong Zhou
    Abstract:

    In this paper, a novel surveillance system, thermal omnidirectional vision system, is introduced which is robust to illumination and has a global field of view. According to the characteristic of the proposed system, a rotating adaptive Haar Wavelet transform is developed for human tracking in thermal omnidirectional vision. The proposed feature can effectively handle the nonisotropic distortion of catadioptric omnidirectional vision (COV). For robust tracking, we develop a rotational kinematic model based adaptive particle filter, which can handle various movements including rapid movement. Since the involvement of the rotational kinematic model, the proposed tracking algorithm can well deal with the short term occlusion. Finally, a series of experiments verify the effectiveness of the proposed rotating adaptive Haar Wavelet transform and the rotational kinematic model based adaptive particle filter for human tracking in thermal omnidirectional vision.

  • MFI - Rotating adaptive Haar Wavelet transform for human tracking in thermal omnidirectional vision
    2012 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI), 2012
    Co-Authors: Yazhe Tang, Tianxiang Bai, Xiaolong Zhou
    Abstract:

    In this paper, a novel surveillance system, thermal omnidirectional vision system, is introduced which is robust to illumination and has a global field of view. According to the characteristic of the proposed system, a rotating adaptive Haar Wavelet transform is developed for human tracking in thermal omnidirectional vision. The proposed feature can effectively handle the nonisotropic distortion of catadioptric omnidirectional vision (COV). For robust tracking, we develop a rotational kinematic model based adaptive particle filter, which can handle various movements including rapid movement. Since the involvement of the rotational kinematic model, the proposed tracking algorithm can well deal with the short term occlusion. Finally, a series of experiments verify the effectiveness of the proposed rotating adaptive Haar Wavelet transform and the rotational kinematic model based adaptive particle filter for human tracking in thermal omnidirectional vision.

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